In case the body have to stay in lower temperature for extended time period (more than 1 hour), how does the body regulate its response?

In case the body have to stay in lower temperature for extended time period (more than 1 hour), how does the body regulate its response?

Arterioles transporting blood to external capillaries beneath the surface of … Read More...
Question 1 1. When males reach puberty, _________ increases their muscle mass and skeletal development. A. prolactin B. protein C. androgen D. adipose tissue E. estrogen 3 points Question 2 1. Which of the following is the only 100percent effective method of fertility control and STI protection? A. Abstinence B. Condoms and spermicide together C. Condoms and a hormonal contraceptive together D. Oral contraceptives E. Condoms 3 points Question 3 1. The efficacy rate for implants is less than ________ pregnancy per 100 users per year. A. 1 B. 10 C. 11 D. 17 E. 4 3 points Question 4 1. Over-the-counter medications are ________ A. sold legally without a prescription. B. safe for pregnant women to use. C. sold illegally without a prescription. D. the safest drugs for self-medication purposes. E. harmful even when approved by the pregnant women’s physician. 3 points Question 5 1. The ________ activates the autonomic nervous system and the endocrine system through messages sent via nerves or substances released into the bloodstream. A. cerebral cortex B. pons C. thalamus D. subcortex E. hypothalamus 3 points Question 6 1. Ovulation methods center around ______ A. a female’s basal body temperature. B. a female’s cervical secretions. C. a female tracking her menstrual cycle by using a calendar. D. A and B. E. A and C. 3 points Question 7 1. Emergency contraception ______ A. can be used as a regular contraception method. B. provides protection against STDs. C. is the only method available if unprotected intercourse has occurred when fertility is likely. D. is significantly more effective than other contraceptive methods. E. All of the above 3 points Question 8 1. Although a simultaneous orgasm between sexual partners is an exciting event, it _______ A. is a relatively uncommon event and can actually detract from the coital experience if one is preoccupied by sharing this experience. B. is common and should be a priority as far as coitus is concerned. C. is of no particular importance. D. is immensely overrated. E. None of the above 3 points Question 9 1. Cervical caps are similar to ________, but the cervical cap is smaller. A. IUDs B. diaphragms C. Norplant D. oral contraceptives E. Depo-Provera 3 points Question 10 1. Which of the following increases the risk of having a low-birth-weight baby? A. The mother does not eat well during pregnancy. B. The mother does not take care of herself. C. The mother does not receive comprehensive prenatal care. D. The mother smokes. E. All of the above 3 points Question 11 1. An advantage to using IUDs and IUSs is that they ______ A. remain in place, so planning before sexual intercourse is unnecessary. B. have a high level of effectiveness. C. allow fertility to return immediately after they are removed. D. can remain in place during a woman’s period. E. all of the above 3 points Question 12 1. Contraception is the means of preventing _______ from occurring during sexual intercourse. A. conception B. pain C. infertility D. STDs E. pleasure 3 points Question 13 1. ________ is the contraceptive method of removing the penis from the vagina before ejaculation. A. Abstinence B. Sterilization C. Avoidance D. Withdrawal E. Monogamy 3 points Question 14 1. Compared to men, women employed full time __________ A. spend fewer hours on household tasks. B. work more hours in the workplace. C. work a proportionate number of hours on household tasks. D. spend more hours on household tasks. E. work fewer hours in the workplace. 3 points Question 15 1. At ________, the female central nervous system (CNS) is typically more advanced than the male CNS. A. birth B. conception C. adolescence D. adulthood E. puberty 3 points Question 16 1. Females sometimes experience a sexual response cycle similar to that of males, EXCEPT A. when they are menstruating. B. they can have multiple orgasms without a refractory period. C. they can have multiple orgasms with a refractory period. D. the resolution phase is shorter in duration than in males. E. they generally move from excitement to plateau and then to orgasm. 3 points Question 17 1. Fertilization normally takes place in the ________ A. ovary. B. cervix. C. vagina. D. uterus. E. fallopian tubes. 3 points Question 18 1. ________ come in the form of foam, gels, films, suppositories, creams, sponges, and tablets. A. Condoms B. Diaphragms C. Spermicides D. IUDs E. Sterilization agents 3 points Question 19 1. The three major settings in the United States where labor and delivery occur are ________ A. the hospital, health-care clinics, and the home. B. the home, the hospital, and the birthing room. C. free-standing birth centers, the home, and health-care clinics. D. the hospital, the home, and free-standing birth centers. E. the birthing room, the hospital, and free-standing birth centers. 3 points Question 20 1. Mode, a fashion magazine, _______ A. was developed for women who wear normal and large sizes. B. was developed for women who wear over a size 16. C. shows only pictures of clothing, with no models. D. was sued by a group of women who claimed the magazine contributed to their bouts with eating disorders. E. none of the above 3 points Question 21 1. All of the following are advantages to breastfeeding EXCEPT that: A. over-the-counter medications do not affect breast milk. B. babies are less likely to contract respiratory infection. C. mothers’ milk provides antibodies against disease. D. encourages bonding of infant and mother. E. breast milk is cheaper than formula. 3 points Question 22 1. Kaplan’s Triphasic Model consists of the A. excitement, plateau, and resolution phases. B. desire, plateau, and orgasm phases. C. plateau, orgasm, and resolution phases. D. desire, excitement, and resolution phases. E. desire, excitement, and orgasm phases. 3 points Question 23 1. The unique component of Kaplan’s triphasic model is the ______phase—a psychological, prephysical sexual response stage. A. excitement B. desire C. resolution D. plateau E. None of the above 3 points Question 24 1. Together, the ________ and the ______ form the lifeline between the mother and the fetus. A. placenta, cervix B. cervix, uterus C. umbilical cord, vagina D. fallopiantubes, vagina E. placenta, umbilical cord 3 points Question 25 1. When an employee switches genders, which of the following is a difficult issue that employers may face? A. How clients might react B. How others will handle a transitioning employee using the restroom C. How an employee informs coworkers about switching genders D. All of the above E. None of the above 3 points Question 26 1. In men, sex flush occurs during the ________ phase, whereas in women it occurs during the ________ phase. A. refractory, excitement B. excitement, resolution C. excitement, plateau D. plateau, excitement E. plateau, resolution 3 points Question 27 1. The process that results in vaginal lubrication during the excitement phase is: A. myotonia. B. uterine orgasm. C. orgasmic platform. D. transudation. E. tachycardia. 3 points Question 28 1. The ________ is the waxy protective substance that coats the fetus. A. amniotic sac B. amniocentesis C. amniotic fluid D. vernixcaseosa. E. chorionic fluid 3 points Question 29 1. ________ adolescent females seem to be happier with their bodies and less likely to diet than ________ adolescent females. A. Hispanic, European Americans B. Asian American; African American C. African American, European American D. European American, Hispanic 3 points Question 30 1. Intrauterine devices (IUDs) and intrauterine systems (IUSs) are ______ methods of contraception. A. not B. permanent C. effective D. reversible E. both c and d 3 points Question 31 1. In early adolescence, girls outperform boys at which of the following types of tasks? A. Visual-spatial B. Math C. Physical D. Language and verbal E. None of the above 3 points Question 32 1. Which of the following are common signs that a person may have an eating disorder? A. The person wears tight clothes to show off his or her “new” body. B. A female may quit menstruating C. Excessive exercise D. B and C E. A and C 3 points Question 33 1. The ________ is the valve that prevents urine from entering the urethra and sperm from entering the bladder during ejaculation. A. orgasmic platform B. vasocongestive valve C. sex flush D. internal urethral sphincter E. None of the above 3 points Question 34 1. Which of the following statements reflect gender bias? A. Boys in school will “act out.” B. Girls in school will be docile. C. Girls are neat. D. All of the above. E. None of the above 3 points Question 35 1. The calendar method and ovulation methods are examples of ______ A. natural planning. B. fertility awareness methods. C. natural family planning. D. fertility planning. E. both B and C 3 points Question 36 1. Dieting during pregnancy can be harmful because the breakdown of fat produces toxic substances called ______ A. fibers. B. pheromones. C. ketones. D. monosaccharides. E. hormones. 3 points Question 37 1. Oral contraceptives _____ A. suppress ovulation. B. mimic the changes that occur in pregnancy. C. can be taken by both males and females. D. A and B E. A and C 3 points Question 38 1. According to Fisher (2001), men usually _______, whereas women ________. A. cut straight to the point, see issues as a part of a larger whole B. discuss their feelings, are more stoic C. mull things over, tend to speak their mind D. waiver while making decisions, mull things over E. None of the above 3 points Question 39 1. The increase in heart rate that occurs during sexual activity is known as _______ A. hyperventilation. B. vasocongestion. C. myotonia. D. tachycardia. E. sex flush. 3 points Question 40 1. Women earned about _________ of all college degrees in 2008. A. 10% B. 35% C. 57% D. 85% E. None of the above

Question 1 1. When males reach puberty, _________ increases their muscle mass and skeletal development. A. prolactin B. protein C. androgen D. adipose tissue E. estrogen 3 points Question 2 1. Which of the following is the only 100percent effective method of fertility control and STI protection? A. Abstinence B. Condoms and spermicide together C. Condoms and a hormonal contraceptive together D. Oral contraceptives E. Condoms 3 points Question 3 1. The efficacy rate for implants is less than ________ pregnancy per 100 users per year. A. 1 B. 10 C. 11 D. 17 E. 4 3 points Question 4 1. Over-the-counter medications are ________ A. sold legally without a prescription. B. safe for pregnant women to use. C. sold illegally without a prescription. D. the safest drugs for self-medication purposes. E. harmful even when approved by the pregnant women’s physician. 3 points Question 5 1. The ________ activates the autonomic nervous system and the endocrine system through messages sent via nerves or substances released into the bloodstream. A. cerebral cortex B. pons C. thalamus D. subcortex E. hypothalamus 3 points Question 6 1. Ovulation methods center around ______ A. a female’s basal body temperature. B. a female’s cervical secretions. C. a female tracking her menstrual cycle by using a calendar. D. A and B. E. A and C. 3 points Question 7 1. Emergency contraception ______ A. can be used as a regular contraception method. B. provides protection against STDs. C. is the only method available if unprotected intercourse has occurred when fertility is likely. D. is significantly more effective than other contraceptive methods. E. All of the above 3 points Question 8 1. Although a simultaneous orgasm between sexual partners is an exciting event, it _______ A. is a relatively uncommon event and can actually detract from the coital experience if one is preoccupied by sharing this experience. B. is common and should be a priority as far as coitus is concerned. C. is of no particular importance. D. is immensely overrated. E. None of the above 3 points Question 9 1. Cervical caps are similar to ________, but the cervical cap is smaller. A. IUDs B. diaphragms C. Norplant D. oral contraceptives E. Depo-Provera 3 points Question 10 1. Which of the following increases the risk of having a low-birth-weight baby? A. The mother does not eat well during pregnancy. B. The mother does not take care of herself. C. The mother does not receive comprehensive prenatal care. D. The mother smokes. E. All of the above 3 points Question 11 1. An advantage to using IUDs and IUSs is that they ______ A. remain in place, so planning before sexual intercourse is unnecessary. B. have a high level of effectiveness. C. allow fertility to return immediately after they are removed. D. can remain in place during a woman’s period. E. all of the above 3 points Question 12 1. Contraception is the means of preventing _______ from occurring during sexual intercourse. A. conception B. pain C. infertility D. STDs E. pleasure 3 points Question 13 1. ________ is the contraceptive method of removing the penis from the vagina before ejaculation. A. Abstinence B. Sterilization C. Avoidance D. Withdrawal E. Monogamy 3 points Question 14 1. Compared to men, women employed full time __________ A. spend fewer hours on household tasks. B. work more hours in the workplace. C. work a proportionate number of hours on household tasks. D. spend more hours on household tasks. E. work fewer hours in the workplace. 3 points Question 15 1. At ________, the female central nervous system (CNS) is typically more advanced than the male CNS. A. birth B. conception C. adolescence D. adulthood E. puberty 3 points Question 16 1. Females sometimes experience a sexual response cycle similar to that of males, EXCEPT A. when they are menstruating. B. they can have multiple orgasms without a refractory period. C. they can have multiple orgasms with a refractory period. D. the resolution phase is shorter in duration than in males. E. they generally move from excitement to plateau and then to orgasm. 3 points Question 17 1. Fertilization normally takes place in the ________ A. ovary. B. cervix. C. vagina. D. uterus. E. fallopian tubes. 3 points Question 18 1. ________ come in the form of foam, gels, films, suppositories, creams, sponges, and tablets. A. Condoms B. Diaphragms C. Spermicides D. IUDs E. Sterilization agents 3 points Question 19 1. The three major settings in the United States where labor and delivery occur are ________ A. the hospital, health-care clinics, and the home. B. the home, the hospital, and the birthing room. C. free-standing birth centers, the home, and health-care clinics. D. the hospital, the home, and free-standing birth centers. E. the birthing room, the hospital, and free-standing birth centers. 3 points Question 20 1. Mode, a fashion magazine, _______ A. was developed for women who wear normal and large sizes. B. was developed for women who wear over a size 16. C. shows only pictures of clothing, with no models. D. was sued by a group of women who claimed the magazine contributed to their bouts with eating disorders. E. none of the above 3 points Question 21 1. All of the following are advantages to breastfeeding EXCEPT that: A. over-the-counter medications do not affect breast milk. B. babies are less likely to contract respiratory infection. C. mothers’ milk provides antibodies against disease. D. encourages bonding of infant and mother. E. breast milk is cheaper than formula. 3 points Question 22 1. Kaplan’s Triphasic Model consists of the A. excitement, plateau, and resolution phases. B. desire, plateau, and orgasm phases. C. plateau, orgasm, and resolution phases. D. desire, excitement, and resolution phases. E. desire, excitement, and orgasm phases. 3 points Question 23 1. The unique component of Kaplan’s triphasic model is the ______phase—a psychological, prephysical sexual response stage. A. excitement B. desire C. resolution D. plateau E. None of the above 3 points Question 24 1. Together, the ________ and the ______ form the lifeline between the mother and the fetus. A. placenta, cervix B. cervix, uterus C. umbilical cord, vagina D. fallopiantubes, vagina E. placenta, umbilical cord 3 points Question 25 1. When an employee switches genders, which of the following is a difficult issue that employers may face? A. How clients might react B. How others will handle a transitioning employee using the restroom C. How an employee informs coworkers about switching genders D. All of the above E. None of the above 3 points Question 26 1. In men, sex flush occurs during the ________ phase, whereas in women it occurs during the ________ phase. A. refractory, excitement B. excitement, resolution C. excitement, plateau D. plateau, excitement E. plateau, resolution 3 points Question 27 1. The process that results in vaginal lubrication during the excitement phase is: A. myotonia. B. uterine orgasm. C. orgasmic platform. D. transudation. E. tachycardia. 3 points Question 28 1. The ________ is the waxy protective substance that coats the fetus. A. amniotic sac B. amniocentesis C. amniotic fluid D. vernixcaseosa. E. chorionic fluid 3 points Question 29 1. ________ adolescent females seem to be happier with their bodies and less likely to diet than ________ adolescent females. A. Hispanic, European Americans B. Asian American; African American C. African American, European American D. European American, Hispanic 3 points Question 30 1. Intrauterine devices (IUDs) and intrauterine systems (IUSs) are ______ methods of contraception. A. not B. permanent C. effective D. reversible E. both c and d 3 points Question 31 1. In early adolescence, girls outperform boys at which of the following types of tasks? A. Visual-spatial B. Math C. Physical D. Language and verbal E. None of the above 3 points Question 32 1. Which of the following are common signs that a person may have an eating disorder? A. The person wears tight clothes to show off his or her “new” body. B. A female may quit menstruating C. Excessive exercise D. B and C E. A and C 3 points Question 33 1. The ________ is the valve that prevents urine from entering the urethra and sperm from entering the bladder during ejaculation. A. orgasmic platform B. vasocongestive valve C. sex flush D. internal urethral sphincter E. None of the above 3 points Question 34 1. Which of the following statements reflect gender bias? A. Boys in school will “act out.” B. Girls in school will be docile. C. Girls are neat. D. All of the above. E. None of the above 3 points Question 35 1. The calendar method and ovulation methods are examples of ______ A. natural planning. B. fertility awareness methods. C. natural family planning. D. fertility planning. E. both B and C 3 points Question 36 1. Dieting during pregnancy can be harmful because the breakdown of fat produces toxic substances called ______ A. fibers. B. pheromones. C. ketones. D. monosaccharides. E. hormones. 3 points Question 37 1. Oral contraceptives _____ A. suppress ovulation. B. mimic the changes that occur in pregnancy. C. can be taken by both males and females. D. A and B E. A and C 3 points Question 38 1. According to Fisher (2001), men usually _______, whereas women ________. A. cut straight to the point, see issues as a part of a larger whole B. discuss their feelings, are more stoic C. mull things over, tend to speak their mind D. waiver while making decisions, mull things over E. None of the above 3 points Question 39 1. The increase in heart rate that occurs during sexual activity is known as _______ A. hyperventilation. B. vasocongestion. C. myotonia. D. tachycardia. E. sex flush. 3 points Question 40 1. Women earned about _________ of all college degrees in 2008. A. 10% B. 35% C. 57% D. 85% E. None of the above

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Basic information: The drive-through window of a coffee shop experiences an average arrival rate of 2 cars per minute;however,20% of the drivers are dismayed at the number of cars waiting in line and leave, rather than joining the waiting line.The coffee shop has two service windows available and each window has one barista (the server),along with a separate worker who processes the paymen while the barista makes the customer’s drink.You can ignore the time it takes to handle the payment, because each of those workers is very efficient and finishes their work while the drink is made. Also,then ext car in line,if one is waiting,can get to either service window if one is available;so,if a window is open,a car can get to it immediately. Each barista can serve a customer in 1minute. a) What is the capacity utilization of the drive-through system?

Basic information: The drive-through window of a coffee shop experiences an average arrival rate of 2 cars per minute;however,20% of the drivers are dismayed at the number of cars waiting in line and leave, rather than joining the waiting line.The coffee shop has two service windows available and each window has one barista (the server),along with a separate worker who processes the paymen while the barista makes the customer’s drink.You can ignore the time it takes to handle the payment, because each of those workers is very efficient and finishes their work while the drink is made. Also,then ext car in line,if one is waiting,can get to either service window if one is available;so,if a window is open,a car can get to it immediately. Each barista can serve a customer in 1minute. a) What is the capacity utilization of the drive-through system?

Actual arrival rate = 16 cars/ 10 minutes = 96 … Read More...
Take Home Exam 3: Special Note Before Starting the Exam: If you scan your solutions to the exam and save it as a pdf or image file and put it on dropbox and I can not read it or open it, you will not receive credit for the exam. Furthermore, if you write the solutions up in word, latex ect. and give me a print out, which does not include all the pages you will not get credit for the missing pages. Also if your folder on dropbox is not clearly labeled and I can not find your exam then you will not get credit for the exam. Finally, please make sure you put your name on the exam!! Math 2100 Exam 3, Out of Class, Due by December 8th, 2015 at 5:00 pm. Name: Problem 1. (15 points) A random variable is said to have the (standard) Cauchy distribution if its PDF is given by f (x) = 1 π 1 1+ x2 , −∞< x <∞ This problem uses computer simulations to demonstrate that a) samples from this distribution often have extreme outliers (a consequence of the heavy tails of the distribution), and b) the sample mean is prone to the same type of outliers. Below is a graph of the pdf a) (5 points) The R commands x=rcauchy(500); summary(x) generate a random sample of size 500 from the Cauchy distribution and display the sample’s five number summary; Report the five number summary and the interquartile range, and comment on whether or not the smallest and largest numbers generated from this sample of 500 are outliers. Repeat this 10 times. b) (5 points) The R commands m=matrix(rcauchy(50000), nrow=500); xb=apply(m,1,mean);summary(xb) generate the matrix m that has 500 rows, each of which is a sample of size n=100 from the Cauchy distribution, compute the 500 sample means and store them in xb. and display the five number summary xb. Repeat these commands 10 times, and report the 10 sets of five number summaries. Compare with the 10 sets of five number summaries from part (a), and comment on whether or not the distribution of the averages seems to be more prone to extreme outliers as that of the individual observations. c) (5 points) Why does this happen? (hint: try to calculate E(X) and V(X) for this distribution) and does the LLN and CLT apply for samples from a Cauchy distribution? Hint: E(X) is undefined for this distribution unless you use the Cauchy Principle Value as such for the mean lim a→∞ xf (x)dx −a a∫ In addition x2 1+ x2 dx = x2 +1−1 1+ x2 dx = 1− 1 1+ x2 " # $ % & ' ∫ ∫ ∫ dx 1 1+ x2 dx = tan−1 ∫ x +C Problem 2. (5 points) A marketing expert for a pasta-making company believes that 40% of pasta lovers prefer lasagna. If 9 out of 20 pasta lovers choose lasagna over other pastas, what can be concluded about the expert's claim? Use a 0.05 level of significance. Problem 3. (10 points) A coin is tossed 20 times, resulting in 5 heads. Is this sufficient evidence to reject the hypothesis that the coin is balanced in favor of the alternative that heads occur less than 50% of the time (essentially is this significant evidence to claim that the coin is unbalanced in favor of tails)? Use a 0.05 level of significance. Problem 4. (25 points) Since the chemical benzene may cause cancer, the federal government has set the maximum allowable benzene concentration in the workplace at 1 part per million (1 ppm) Suppose that a steel manufacturing plant is under investigation for possible violations regarding benzene level. The Occupational Safety and Health Administration (OSHA) will analyze 14 air samples over a one-month period. Assume normality of the population from which the samples were drawn. a) (3 points) What is an appropriate null hypothesis for this scenario? (Give this in symbols) b) (3 points) What is an appropriate alternative hypothesis for this scenario? (Give this in symbols) c) (3 points) What kind of hypothesis test is this: left-tailed, right-tailed or two-tailed? Explain how you picked your answer. d) (3 points) Is this a one-sample t-test or a one-sample test using a normal distribution? Explain how you picked your answer. e) (4 points) If the test using this sample of size 14 is to be done at the 1% significance level, calculate the critical value(s) and describe the rejection region(s) for the test statistic. Show your work. f) (5 points) OHSA finds the following for their sample of size 14: a mean benzene level of 1.51 ppm and a standard deviation of 1.415 ppm. What should be concluded at the 1% significance level? Support your answer with calculation(s) and reasoning. g) (4 points) Calculate the p-value for this test and verify that this answer would lead to the same conclusion you made in part f. Problem 5. (15 points) A normally distributed random variable Y possesses a mean of μ = 20 and a standard deviation of σ = 5. A random sample of n = 31 observations is to be selected. Let X be the sample average. (X in this problem is really x _ ) a)(5 points) Describe the sampling distribution of X (i.e. describe the distribution of X and give μx, σx ) b) (5 points) Find the z-score of x = 22 c) (5 points) Find P(X ≥ 22) = Problem 6. (10 points) A restaurants receipts show that the cost of customers' dinners has a distribution with a mean of $54 and a standard deviation of $18. What is the probability that the next 100 customers will spend a total of at least $5800 on dinner? Problem 7. (10 points) The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a new electronic component. Assume that the standard deviation of this assembly time is 3.6 minutes and is normally distributed. a) (3 points) After observing 120 workers assembling similar devices, the manager noticed that their average time was 16.2 minutes. Construct a 92% confidence interval for the mean assembly time. b) (2 points) How many workers should be involved in this study in order to have the mean assembly time estimated up to ± 15 seconds with 92% confidence? c) (5 points) Construct a 92% confidence interval if instead of observing 120 workers assembling similar devices, rather the manager observes 25 workers and notice their average time was 16.2 minutes with a standard deviation of 4.0 minutes. Problem 8. (10 points): A manufacturer of candy must monitor the temperature at which the candies are baked. Too much variation will cause inconsistency in the taste of the candy. Past records show that the standard deviation of the temperature has been 1.2oF . A random sample of 30 batches of candy is selected, and the sample standard deviation of the temperature is 2.1oF . a. (5 points) At the 0.05 level of significance, is there evidence that the population standard deviation has increased above 1.2oF ? b. (3 points) What assumption do you need to make in order to perform this test? c. (2 points) Compute the p-value in (a) and interpret its meaning.

Take Home Exam 3: Special Note Before Starting the Exam: If you scan your solutions to the exam and save it as a pdf or image file and put it on dropbox and I can not read it or open it, you will not receive credit for the exam. Furthermore, if you write the solutions up in word, latex ect. and give me a print out, which does not include all the pages you will not get credit for the missing pages. Also if your folder on dropbox is not clearly labeled and I can not find your exam then you will not get credit for the exam. Finally, please make sure you put your name on the exam!! Math 2100 Exam 3, Out of Class, Due by December 8th, 2015 at 5:00 pm. Name: Problem 1. (15 points) A random variable is said to have the (standard) Cauchy distribution if its PDF is given by f (x) = 1 π 1 1+ x2 , −∞< x <∞ This problem uses computer simulations to demonstrate that a) samples from this distribution often have extreme outliers (a consequence of the heavy tails of the distribution), and b) the sample mean is prone to the same type of outliers. Below is a graph of the pdf a) (5 points) The R commands x=rcauchy(500); summary(x) generate a random sample of size 500 from the Cauchy distribution and display the sample’s five number summary; Report the five number summary and the interquartile range, and comment on whether or not the smallest and largest numbers generated from this sample of 500 are outliers. Repeat this 10 times. b) (5 points) The R commands m=matrix(rcauchy(50000), nrow=500); xb=apply(m,1,mean);summary(xb) generate the matrix m that has 500 rows, each of which is a sample of size n=100 from the Cauchy distribution, compute the 500 sample means and store them in xb. and display the five number summary xb. Repeat these commands 10 times, and report the 10 sets of five number summaries. Compare with the 10 sets of five number summaries from part (a), and comment on whether or not the distribution of the averages seems to be more prone to extreme outliers as that of the individual observations. c) (5 points) Why does this happen? (hint: try to calculate E(X) and V(X) for this distribution) and does the LLN and CLT apply for samples from a Cauchy distribution? Hint: E(X) is undefined for this distribution unless you use the Cauchy Principle Value as such for the mean lim a→∞ xf (x)dx −a a∫ In addition x2 1+ x2 dx = x2 +1−1 1+ x2 dx = 1− 1 1+ x2 " # $ % & ' ∫ ∫ ∫ dx 1 1+ x2 dx = tan−1 ∫ x +C Problem 2. (5 points) A marketing expert for a pasta-making company believes that 40% of pasta lovers prefer lasagna. If 9 out of 20 pasta lovers choose lasagna over other pastas, what can be concluded about the expert's claim? Use a 0.05 level of significance. Problem 3. (10 points) A coin is tossed 20 times, resulting in 5 heads. Is this sufficient evidence to reject the hypothesis that the coin is balanced in favor of the alternative that heads occur less than 50% of the time (essentially is this significant evidence to claim that the coin is unbalanced in favor of tails)? Use a 0.05 level of significance. Problem 4. (25 points) Since the chemical benzene may cause cancer, the federal government has set the maximum allowable benzene concentration in the workplace at 1 part per million (1 ppm) Suppose that a steel manufacturing plant is under investigation for possible violations regarding benzene level. The Occupational Safety and Health Administration (OSHA) will analyze 14 air samples over a one-month period. Assume normality of the population from which the samples were drawn. a) (3 points) What is an appropriate null hypothesis for this scenario? (Give this in symbols) b) (3 points) What is an appropriate alternative hypothesis for this scenario? (Give this in symbols) c) (3 points) What kind of hypothesis test is this: left-tailed, right-tailed or two-tailed? Explain how you picked your answer. d) (3 points) Is this a one-sample t-test or a one-sample test using a normal distribution? Explain how you picked your answer. e) (4 points) If the test using this sample of size 14 is to be done at the 1% significance level, calculate the critical value(s) and describe the rejection region(s) for the test statistic. Show your work. f) (5 points) OHSA finds the following for their sample of size 14: a mean benzene level of 1.51 ppm and a standard deviation of 1.415 ppm. What should be concluded at the 1% significance level? Support your answer with calculation(s) and reasoning. g) (4 points) Calculate the p-value for this test and verify that this answer would lead to the same conclusion you made in part f. Problem 5. (15 points) A normally distributed random variable Y possesses a mean of μ = 20 and a standard deviation of σ = 5. A random sample of n = 31 observations is to be selected. Let X be the sample average. (X in this problem is really x _ ) a)(5 points) Describe the sampling distribution of X (i.e. describe the distribution of X and give μx, σx ) b) (5 points) Find the z-score of x = 22 c) (5 points) Find P(X ≥ 22) = Problem 6. (10 points) A restaurants receipts show that the cost of customers' dinners has a distribution with a mean of $54 and a standard deviation of $18. What is the probability that the next 100 customers will spend a total of at least $5800 on dinner? Problem 7. (10 points) The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a new electronic component. Assume that the standard deviation of this assembly time is 3.6 minutes and is normally distributed. a) (3 points) After observing 120 workers assembling similar devices, the manager noticed that their average time was 16.2 minutes. Construct a 92% confidence interval for the mean assembly time. b) (2 points) How many workers should be involved in this study in order to have the mean assembly time estimated up to ± 15 seconds with 92% confidence? c) (5 points) Construct a 92% confidence interval if instead of observing 120 workers assembling similar devices, rather the manager observes 25 workers and notice their average time was 16.2 minutes with a standard deviation of 4.0 minutes. Problem 8. (10 points): A manufacturer of candy must monitor the temperature at which the candies are baked. Too much variation will cause inconsistency in the taste of the candy. Past records show that the standard deviation of the temperature has been 1.2oF . A random sample of 30 batches of candy is selected, and the sample standard deviation of the temperature is 2.1oF . a. (5 points) At the 0.05 level of significance, is there evidence that the population standard deviation has increased above 1.2oF ? b. (3 points) What assumption do you need to make in order to perform this test? c. (2 points) Compute the p-value in (a) and interpret its meaning.

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Engineering Risk Management Special topic: Beer Game Copyright Old Dominion University, 2017 All rights reserved Revised Class Schedule Lac-Megantic Case Study Part 1: Timeline of events Part 2: Timeline + causal chain of events Part 3: Instructions Evaluate your causal-chain (network) Which are the root causes? Which events have the most causes? What are the relationship of the causes? Which causes have the most influence? Part 4: Instructions Consider these recommendations from TSB Which nodes in your causal chain will be addressed by which of these recommendations? Recap How would you summarize the steps in conducting post-event analysis of an accident? Beer Game Case Study The beer game was developed at MIT in the 1960s. It is an experiential learning business simulation game created by a group of professors at MIT Sloan School of Management in early 1960s to demonstrate a number of key principles of supply chain management. The game is played by teams of four players, often in heated competition, and takes at least one hour to complete.  Beer Game Case Study Beer Game Case Study A truck driver delivers beer once each week to the retailer. Then the retailer places an order with the trucker who returns the order to the wholesaler. There’s a four week lag between ordering and receiving the beer. The retailer and wholesaler do not communicate directly. The retailer sells hundreds of products and the wholesaler distributes many products to a large number of customers. Beer Game Case Study The Retailer Week 1: Lover’s Beer is not very popular but the retailer sells four cases per week on average. Because the lead time is four weeks, the retailer attempts to keep twelve cases in the store by ordering four cases each Monday when the trucker makes a delivery. Week 2: The retailer’s sales of Lover’s beer doubles to eight cases, so on Monday, he orders 8 cases. Week 3: The retailer sells 8 cases. The trucker delivers four cases. To be safe, the retailer decides to order 12 cases of Lover’s beer. Week 4: The retailer learns from some of his younger customers that a music video appearing on TV shows a group singing “I’ll take on last sip of Lover’s beer and run into the sun.” The retailer assumes that this explains the increased demand for the product. The trucker delivers 5 cases. The retailer is nearly sold out, so he orders 16 cases. Beer Game Case Study The Retailer Week 5: The retailer sells the last case, but receives 7 cases. All 7 cases are sold by the end of the week. So again on Monday the retailer orders 16 cases. Week 6: Customers are looking for Lover’s beer. Some put their names on a list to be called when the beer comes in. The trucker delivers only 6 cases and all are sold by the weekend. The retailer orders another 16 cases. Week 7: The trucker delivers 7 cases. The retailer is frustrated, but orders another 16 cases. Week 8: The trucker delivers 5 cases and tells the retailer the beer is backlogged. The retailer is really getting irritated with the wholesaler, but orders 24 cases. Beer Game Case Study The Wholesaler The wholesaler distributes many brands of beer to a large number of retailers, but he is the only distributor of Lover’s beer. The wholesaler orders 4 truckloads from the brewery truck driver each week and receives the beer after a 4 week lag. The wholesaler’s policy is to keep 12 truckloads in inventory on a continuous basis. Week 6: By week 6 the wholesaler is out of Lover’s beer and responds by ordering 30 truckloads from the brewery. Week 8: By the 8th week most stores are ordering 3 or 4 times more Lovers’ beer than their regular amounts. Week 9: The wholesaler orders more Lover’s beer, but gets only 6 truckloads. Week 10: Only 8 truckloads are delivered, so the wholesaler orders 40. Week 11: Only 12 truckloads are received, and there are 77 truckloads in backlog, so the wholesaler orders 40 more truckloads. Beer Game Case Study The Wholesaler Week 12: The wholesaler orders 60 more truckloads of Lover’s beer. It appears that the beer is becoming more popular from week to week. Week 13: There is still a huge backlog. Weeks 14-15: The wholesaler receives larger shipments from the brewery, but orders from retailers begin to drop off. Week 16: The trucker delivers 55 truckloads from the brewery, but the wholesaler gets zero orders from retailers. So he stops ordering from the brewery. Week 17: The wholesaler receives another 60 truckloads. Retailers order zero. The wholesaler orders zero. The brewery keeps sending beer. Beer Game Case Study The Brewery The brewery is small but has a reputation for producing high quality beer. Lover’s beer is only one of several products produced at the brewery. Week 6: New orders come in for 40 gross. It takes two weeks to brew the beer. Week 14: Orders continue to come in and the brewery has not been able to catch up on the backlogged orders. The marketing manager begins to wonder how much bonus he will get for increasing sales so dramatically. Week 16: The brewery catches up on the backlog, but orders begin to drop off. Week 18: By week 18 there are no new orders for Lover’s beer. Week 19: The brewery has 100 gross of Lover’s beer in stock, but no orders. So the brewery stops producing Lover’s beer. Weeks 20-23. No orders. Beer Game Case Study At this point all the players blame each other for the excess inventory. Conversations with wholesale and retailer reveal an inventory of 93 cases at the retailer and 220 truckloads at the wholesaler. The marketing manager figures it will take the wholesaler a year to sell the Lover’s beer he has in stock. The retailers must be the problem. The retailer explains that demand increased from 4 cases per week to 8 cases. The wholesaler and marketing manager think demand mushroomed after that, and then fell off, but the retailer explains that didn’t happen. Demand stayed at 8 cases per week. Since he didn’t get the beer he ordered, he kept ordering more in an attempt to keep up with the demand. The marketing manager plans his resignation. Homework 4 Read the case and answer 1+6 questions. 0th What should go right? 1st What can go wrong? 2nd What are the causes and consequences? 3rd What is the likelihood of occurrence? 4rd What can be done to detect, control, and manage them? 5th What are the alternatives? 6th What are the effects beyond this particular time? Homework 4 In 500 words or less, summarize lessons learned in this beer game as it relates to supply chain risk management. Apply one of the tools (CCA, HAZOP, FMEA, etc.) to the case. Work individually and submit before Monday midnight (Feb. 20th). No class on Monday (Feb. 20th).

Engineering Risk Management Special topic: Beer Game Copyright Old Dominion University, 2017 All rights reserved Revised Class Schedule Lac-Megantic Case Study Part 1: Timeline of events Part 2: Timeline + causal chain of events Part 3: Instructions Evaluate your causal-chain (network) Which are the root causes? Which events have the most causes? What are the relationship of the causes? Which causes have the most influence? Part 4: Instructions Consider these recommendations from TSB Which nodes in your causal chain will be addressed by which of these recommendations? Recap How would you summarize the steps in conducting post-event analysis of an accident? Beer Game Case Study The beer game was developed at MIT in the 1960s. It is an experiential learning business simulation game created by a group of professors at MIT Sloan School of Management in early 1960s to demonstrate a number of key principles of supply chain management. The game is played by teams of four players, often in heated competition, and takes at least one hour to complete.  Beer Game Case Study Beer Game Case Study A truck driver delivers beer once each week to the retailer. Then the retailer places an order with the trucker who returns the order to the wholesaler. There’s a four week lag between ordering and receiving the beer. The retailer and wholesaler do not communicate directly. The retailer sells hundreds of products and the wholesaler distributes many products to a large number of customers. Beer Game Case Study The Retailer Week 1: Lover’s Beer is not very popular but the retailer sells four cases per week on average. Because the lead time is four weeks, the retailer attempts to keep twelve cases in the store by ordering four cases each Monday when the trucker makes a delivery. Week 2: The retailer’s sales of Lover’s beer doubles to eight cases, so on Monday, he orders 8 cases. Week 3: The retailer sells 8 cases. The trucker delivers four cases. To be safe, the retailer decides to order 12 cases of Lover’s beer. Week 4: The retailer learns from some of his younger customers that a music video appearing on TV shows a group singing “I’ll take on last sip of Lover’s beer and run into the sun.” The retailer assumes that this explains the increased demand for the product. The trucker delivers 5 cases. The retailer is nearly sold out, so he orders 16 cases. Beer Game Case Study The Retailer Week 5: The retailer sells the last case, but receives 7 cases. All 7 cases are sold by the end of the week. So again on Monday the retailer orders 16 cases. Week 6: Customers are looking for Lover’s beer. Some put their names on a list to be called when the beer comes in. The trucker delivers only 6 cases and all are sold by the weekend. The retailer orders another 16 cases. Week 7: The trucker delivers 7 cases. The retailer is frustrated, but orders another 16 cases. Week 8: The trucker delivers 5 cases and tells the retailer the beer is backlogged. The retailer is really getting irritated with the wholesaler, but orders 24 cases. Beer Game Case Study The Wholesaler The wholesaler distributes many brands of beer to a large number of retailers, but he is the only distributor of Lover’s beer. The wholesaler orders 4 truckloads from the brewery truck driver each week and receives the beer after a 4 week lag. The wholesaler’s policy is to keep 12 truckloads in inventory on a continuous basis. Week 6: By week 6 the wholesaler is out of Lover’s beer and responds by ordering 30 truckloads from the brewery. Week 8: By the 8th week most stores are ordering 3 or 4 times more Lovers’ beer than their regular amounts. Week 9: The wholesaler orders more Lover’s beer, but gets only 6 truckloads. Week 10: Only 8 truckloads are delivered, so the wholesaler orders 40. Week 11: Only 12 truckloads are received, and there are 77 truckloads in backlog, so the wholesaler orders 40 more truckloads. Beer Game Case Study The Wholesaler Week 12: The wholesaler orders 60 more truckloads of Lover’s beer. It appears that the beer is becoming more popular from week to week. Week 13: There is still a huge backlog. Weeks 14-15: The wholesaler receives larger shipments from the brewery, but orders from retailers begin to drop off. Week 16: The trucker delivers 55 truckloads from the brewery, but the wholesaler gets zero orders from retailers. So he stops ordering from the brewery. Week 17: The wholesaler receives another 60 truckloads. Retailers order zero. The wholesaler orders zero. The brewery keeps sending beer. Beer Game Case Study The Brewery The brewery is small but has a reputation for producing high quality beer. Lover’s beer is only one of several products produced at the brewery. Week 6: New orders come in for 40 gross. It takes two weeks to brew the beer. Week 14: Orders continue to come in and the brewery has not been able to catch up on the backlogged orders. The marketing manager begins to wonder how much bonus he will get for increasing sales so dramatically. Week 16: The brewery catches up on the backlog, but orders begin to drop off. Week 18: By week 18 there are no new orders for Lover’s beer. Week 19: The brewery has 100 gross of Lover’s beer in stock, but no orders. So the brewery stops producing Lover’s beer. Weeks 20-23. No orders. Beer Game Case Study At this point all the players blame each other for the excess inventory. Conversations with wholesale and retailer reveal an inventory of 93 cases at the retailer and 220 truckloads at the wholesaler. The marketing manager figures it will take the wholesaler a year to sell the Lover’s beer he has in stock. The retailers must be the problem. The retailer explains that demand increased from 4 cases per week to 8 cases. The wholesaler and marketing manager think demand mushroomed after that, and then fell off, but the retailer explains that didn’t happen. Demand stayed at 8 cases per week. Since he didn’t get the beer he ordered, he kept ordering more in an attempt to keep up with the demand. The marketing manager plans his resignation. Homework 4 Read the case and answer 1+6 questions. 0th What should go right? 1st What can go wrong? 2nd What are the causes and consequences? 3rd What is the likelihood of occurrence? 4rd What can be done to detect, control, and manage them? 5th What are the alternatives? 6th What are the effects beyond this particular time? Homework 4 In 500 words or less, summarize lessons learned in this beer game as it relates to supply chain risk management. Apply one of the tools (CCA, HAZOP, FMEA, etc.) to the case. Work individually and submit before Monday midnight (Feb. 20th). No class on Monday (Feb. 20th).

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You will receive no credit for items you complete after the assignment is due. Grading Policy Exercise 2.5 Starting from the front door of your ranch house, you walk 60.0 due east to your windmill, and then you turn around and slowly walk 35.0 west to a bench where you sit and watch the sunrise. It takes you 27.0 to walk from your house to the windmill and then 49.0 to walk from the windmill to the bench. Part A For the entire trip from your front door to the bench, what is your average velocity? Express your answer with the appropriate units. ANSWER: Correct Part B For the entire trip from your front door to the bench, what is your average speed? Express your answer with the appropriate units. ANSWER: Correct Exercise 2.7 A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by , where = 2.40 and = 0.110 . = -0.329 average speed = 1.25 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 1 of 16 3/23/2015 11:12 AM Part A Calculate the average velocity of the car for the time interval = 0 to = 10.0 . ANSWER: Correct Part B Calculate the instantaneous velocity of the car at =0. ANSWER: Correct Part C Calculate the instantaneous velocity of the car at =5.00 . ANSWER: Correct Part D Calculate the instantaneous velocity of the car at =10.0 . ANSWER: Correct Part E How long after starting from rest is the car again at rest? ANSWER: = 13.0 = 0 = 15.8 = 15.0 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 2 of 16 3/23/2015 11:12 AM Correct Exercise 2.9 A ball moves in a straight line (the x-axis). The graph in the figure shows this ball’s velocity as a function of time. Part A What are the ball’s average velocity during the first 2.8 ? Express your answer using two significant figures. ANSWER: Answer Requested Part B What are the ball’s average speed during the first 2.8 ? Express your answer using two significant figures. ANSWER: Correct = 14.5 = 2.3 = 2.3 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 3 of 16 3/23/2015 11:12 AM Part C Suppose that the ball moved in such a way that the graph segment after 2.0 was -3.0 instead of +3.0 . Find the ball’s and average velocity during the first 2.8 in this case. Express your answer using two significant figures. ANSWER: All attempts used; correct answer displayed Part D Suppose that the ball moved in such a way that the graph segment after 2.0 was -3.0 instead of +3.0 . Find the ball’s average speed during the first 2.8 in this case. Express your answer using two significant figures. ANSWER: Correct Exercise 2.13 Part A The table shows test data for the Bugatti Veyron, the fastest car made. The car is moving in a straight line (the x-axis). Time 0 2.10 20.0 53.0 Speed 0 60.0 205 259 Calculate the car’s average acceleration (in ) between 0 and 2.1 . ANSWER: Correct Part B Calculate the car’s average acceleration (in ) between 2.1 and 20.0 . = 0.57 = 2.3 = 12.8 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 4 of 16 3/23/2015 11:12 AM ANSWER: Correct Part C Calculate the car’s average acceleration (in ) between 20.0 and 53 . ANSWER: Correct Exercise 2.19 An antelope moving with constant acceleration covers the distance 79.0 between two points in time 7.00 . Its speed as it passes the second point is 14.5 . Part A What is its speed at the first point? ANSWER: Correct Part B What is the acceleration? ANSWER: Correct Exercise 2.22 In the fastest measured tennis serve, the ball left the racquet at 73.14 . A served tennis ball is typically in contact with = 3.62 = 0.731 = 8.07 = 0.918 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 5 of 16 3/23/2015 11:12 AM the racquet for 27.0 and starts from rest. Assume constant acceleration. Part A What was the ball’s acceleration during this serve? ANSWER: Correct Part B How far did the ball travel during the serve? ANSWER: Correct Exercise 2.30 A cat walks in a straight line, which we shall call the x-axis with the positive direction to the right. As an observant physicist, you make measurements of this cat’s motion and construct a graph of the feline’s velocity as a function of time (the figure ). Part A Find the cat’s velocity at = 5.0 . Express your answer using two significant figures. ANSWER: = 2710 = 0.987 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 6 of 16 3/23/2015 11:12 AM Correct Part B Find the cat’s velocity at = 8.0 . Express your answer using two significant figures. ANSWER: Correct Part C What is the cat’s acceleration at ? Express your answer using two significant figures. ANSWER: Correct Part D What is the cat’s acceleration at ? Express your answer using two significant figures. ANSWER: Correct Part E What is the cat’s acceleration at ? Express your answer using two significant figures. ANSWER: = 1.3 = -2.7 = -1.3 = -1.3 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 7 of 16 3/23/2015 11:12 AM Correct Part F What distance does the cat move during the first 4.5 ? Express your answer using two significant figures. ANSWER: Correct Part G What distance does the cat move from to ? Express your answer using two significant figures. ANSWER: Correct Part H Sketch clear graph of the cat’s acceleration as function of time, assuming that the cat started at the origin. ANSWER: = -1.3 = 23 = 26 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 8 of 16 3/23/2015 11:12 AM Correct Part I Sketch clear graph of the cat’s position as function of time, assuming that the cat started at the origin. ANSWER: Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 9 of 16 3/23/2015 11:12 AM All attempts used; correct answer displayed Exercise 2.35 Part A If a flea can jump straight up to a height of 0.510 , what is its initial speed as it leaves the ground? ANSWER: Correct Part B How long is it in the air? ANSWER: Correct = 3.16 = 0.645 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 10 of 16 3/23/2015 11:12 AM Exercise 2.36 A small rock is thrown vertically upward with a speed of 18.0 from the edge of the roof of a 39.0 tall building. The rock doesn’t hit the building on its way back down and lands in the street below. Air resistance can be neglected. Part A What is the speed of the rock just before it hits the street? Express your answer with the appropriate units. ANSWER: Correct Part B How much time elapses from when the rock is thrown until it hits the street? Express your answer with the appropriate units. ANSWER: Correct Exercise 2.38 You throw a glob of putty straight up toward the ceiling, which is 3.00 above the point where the putty leaves your hand. The initial speed of the putty as it leaves your hand is 9.70 . Part A What is the speed of the putty just before it strikes the ceiling? Express your answer with the appropriate units. ANSWER: Correct Part B = 33.0 = 5.20 = 5.94 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 11 of 16 3/23/2015 11:12 AM How much time from when it leaves your hand does it take the putty to reach the ceiling? Express your answer with the appropriate units. ANSWER: Correct Exercise 3.1 A squirrel has x- and y-coordinates ( 1.2 , 3.3 ) at time and coordinates ( 5.3 , -0.80 ) at time = 2.6 . Part A For this time interval, find the x-component of the average velocity. Express your answer using two significant figures. ANSWER: Correct Part B For this time interval, find the y-component of the average velocity. Express your answer using two significant figures. ANSWER: Correct Part C Find the magnitude of the average velocity. Express your answer using two significant figures. ANSWER: = 0.384 = 1.6 = -1.6 = 2.2 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 12 of 16 3/23/2015 11:12 AM Correct Part D Find the direction of the average velocity. Express your answer using two significant figures. ANSWER: Correct Exercise 3.3 A web page designer creates an animation in which a dot on a computer screen has a position of 4.1 2.1 4.7 . Part A Find the average velocity of the dot between and . Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Part B Find the instantaneous velocity at . Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Part C = 45 below the x-axis = 4.2,4.7 = 0,4.7 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 13 of 16 3/23/2015 11:12 AM Find the instantaneous velocity at . Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Part D Find the instantaneous velocity at . Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Exercise 3.5 A jet plane is flying at a constant altitude. At time it has components of velocity 89 , 108 . At time 32.5 the components are 165 , 37 . Part A For this time interval calculate the average acceleration. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Part B Find the magnitude of the average acceleration. Express your answer using two significant figures. ANSWER: = 4.2,4.7 = 8.4,4.7 = 2.3,-2.2 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 14 of 16 3/23/2015 11:12 AM Correct Part C Find the direction of the average acceleration (let the direction be the angle that the vector makes with the +x-axis, measured counterclockwise). ANSWER: Correct Exercise 3.4 The position of a squirrel running in a park is given by . Part A What is , the -component of the velocity of the squirrel, as function of time? ANSWER: Correct Part B What is , the y-component of the velocity of the squirrel, as function of time? ANSWER: = 3.2 = -43.1 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 15 of 16 3/23/2015 11:12 AM Correct Part C At 4.51 , how far is the squirrel from its initial position? Express your answer to three significant figures and include the appropriate units. ANSWER: All attempts used; correct answer displayed Part D At 4.51 , what is the magnitude of the squirrel’s velocity? Express your answer to three significant figures and include the appropriate units. ANSWER: Correct Part E At 4.51 , what is the direction (in degrees counterclockwise from +x-axis) of the squirrel’s velocity? Express your answer to three significant figures and include the appropriate units. ANSWER: Correct Score Summary: Your score on this assignment is 90.1%. You received 14.42 out of a possible total of 16 points. = 2.65 = 1.31 = 62.5 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 16 of 16 3/23/2015 11:12 AM

You will receive no credit for items you complete after the assignment is due. Grading Policy Exercise 2.5 Starting from the front door of your ranch house, you walk 60.0 due east to your windmill, and then you turn around and slowly walk 35.0 west to a bench where you sit and watch the sunrise. It takes you 27.0 to walk from your house to the windmill and then 49.0 to walk from the windmill to the bench. Part A For the entire trip from your front door to the bench, what is your average velocity? Express your answer with the appropriate units. ANSWER: Correct Part B For the entire trip from your front door to the bench, what is your average speed? Express your answer with the appropriate units. ANSWER: Correct Exercise 2.7 A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by , where = 2.40 and = 0.110 . = -0.329 average speed = 1.25 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 1 of 16 3/23/2015 11:12 AM Part A Calculate the average velocity of the car for the time interval = 0 to = 10.0 . ANSWER: Correct Part B Calculate the instantaneous velocity of the car at =0. ANSWER: Correct Part C Calculate the instantaneous velocity of the car at =5.00 . ANSWER: Correct Part D Calculate the instantaneous velocity of the car at =10.0 . ANSWER: Correct Part E How long after starting from rest is the car again at rest? ANSWER: = 13.0 = 0 = 15.8 = 15.0 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 2 of 16 3/23/2015 11:12 AM Correct Exercise 2.9 A ball moves in a straight line (the x-axis). The graph in the figure shows this ball’s velocity as a function of time. Part A What are the ball’s average velocity during the first 2.8 ? Express your answer using two significant figures. ANSWER: Answer Requested Part B What are the ball’s average speed during the first 2.8 ? Express your answer using two significant figures. ANSWER: Correct = 14.5 = 2.3 = 2.3 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 3 of 16 3/23/2015 11:12 AM Part C Suppose that the ball moved in such a way that the graph segment after 2.0 was -3.0 instead of +3.0 . Find the ball’s and average velocity during the first 2.8 in this case. Express your answer using two significant figures. ANSWER: All attempts used; correct answer displayed Part D Suppose that the ball moved in such a way that the graph segment after 2.0 was -3.0 instead of +3.0 . Find the ball’s average speed during the first 2.8 in this case. Express your answer using two significant figures. ANSWER: Correct Exercise 2.13 Part A The table shows test data for the Bugatti Veyron, the fastest car made. The car is moving in a straight line (the x-axis). Time 0 2.10 20.0 53.0 Speed 0 60.0 205 259 Calculate the car’s average acceleration (in ) between 0 and 2.1 . ANSWER: Correct Part B Calculate the car’s average acceleration (in ) between 2.1 and 20.0 . = 0.57 = 2.3 = 12.8 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 4 of 16 3/23/2015 11:12 AM ANSWER: Correct Part C Calculate the car’s average acceleration (in ) between 20.0 and 53 . ANSWER: Correct Exercise 2.19 An antelope moving with constant acceleration covers the distance 79.0 between two points in time 7.00 . Its speed as it passes the second point is 14.5 . Part A What is its speed at the first point? ANSWER: Correct Part B What is the acceleration? ANSWER: Correct Exercise 2.22 In the fastest measured tennis serve, the ball left the racquet at 73.14 . A served tennis ball is typically in contact with = 3.62 = 0.731 = 8.07 = 0.918 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 5 of 16 3/23/2015 11:12 AM the racquet for 27.0 and starts from rest. Assume constant acceleration. Part A What was the ball’s acceleration during this serve? ANSWER: Correct Part B How far did the ball travel during the serve? ANSWER: Correct Exercise 2.30 A cat walks in a straight line, which we shall call the x-axis with the positive direction to the right. As an observant physicist, you make measurements of this cat’s motion and construct a graph of the feline’s velocity as a function of time (the figure ). Part A Find the cat’s velocity at = 5.0 . Express your answer using two significant figures. ANSWER: = 2710 = 0.987 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 6 of 16 3/23/2015 11:12 AM Correct Part B Find the cat’s velocity at = 8.0 . Express your answer using two significant figures. ANSWER: Correct Part C What is the cat’s acceleration at ? Express your answer using two significant figures. ANSWER: Correct Part D What is the cat’s acceleration at ? Express your answer using two significant figures. ANSWER: Correct Part E What is the cat’s acceleration at ? Express your answer using two significant figures. ANSWER: = 1.3 = -2.7 = -1.3 = -1.3 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 7 of 16 3/23/2015 11:12 AM Correct Part F What distance does the cat move during the first 4.5 ? Express your answer using two significant figures. ANSWER: Correct Part G What distance does the cat move from to ? Express your answer using two significant figures. ANSWER: Correct Part H Sketch clear graph of the cat’s acceleration as function of time, assuming that the cat started at the origin. ANSWER: = -1.3 = 23 = 26 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 8 of 16 3/23/2015 11:12 AM Correct Part I Sketch clear graph of the cat’s position as function of time, assuming that the cat started at the origin. ANSWER: Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 9 of 16 3/23/2015 11:12 AM All attempts used; correct answer displayed Exercise 2.35 Part A If a flea can jump straight up to a height of 0.510 , what is its initial speed as it leaves the ground? ANSWER: Correct Part B How long is it in the air? ANSWER: Correct = 3.16 = 0.645 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 10 of 16 3/23/2015 11:12 AM Exercise 2.36 A small rock is thrown vertically upward with a speed of 18.0 from the edge of the roof of a 39.0 tall building. The rock doesn’t hit the building on its way back down and lands in the street below. Air resistance can be neglected. Part A What is the speed of the rock just before it hits the street? Express your answer with the appropriate units. ANSWER: Correct Part B How much time elapses from when the rock is thrown until it hits the street? Express your answer with the appropriate units. ANSWER: Correct Exercise 2.38 You throw a glob of putty straight up toward the ceiling, which is 3.00 above the point where the putty leaves your hand. The initial speed of the putty as it leaves your hand is 9.70 . Part A What is the speed of the putty just before it strikes the ceiling? Express your answer with the appropriate units. ANSWER: Correct Part B = 33.0 = 5.20 = 5.94 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 11 of 16 3/23/2015 11:12 AM How much time from when it leaves your hand does it take the putty to reach the ceiling? Express your answer with the appropriate units. ANSWER: Correct Exercise 3.1 A squirrel has x- and y-coordinates ( 1.2 , 3.3 ) at time and coordinates ( 5.3 , -0.80 ) at time = 2.6 . Part A For this time interval, find the x-component of the average velocity. Express your answer using two significant figures. ANSWER: Correct Part B For this time interval, find the y-component of the average velocity. Express your answer using two significant figures. ANSWER: Correct Part C Find the magnitude of the average velocity. Express your answer using two significant figures. ANSWER: = 0.384 = 1.6 = -1.6 = 2.2 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 12 of 16 3/23/2015 11:12 AM Correct Part D Find the direction of the average velocity. Express your answer using two significant figures. ANSWER: Correct Exercise 3.3 A web page designer creates an animation in which a dot on a computer screen has a position of 4.1 2.1 4.7 . Part A Find the average velocity of the dot between and . Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Part B Find the instantaneous velocity at . Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Part C = 45 below the x-axis = 4.2,4.7 = 0,4.7 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 13 of 16 3/23/2015 11:12 AM Find the instantaneous velocity at . Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Part D Find the instantaneous velocity at . Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Exercise 3.5 A jet plane is flying at a constant altitude. At time it has components of velocity 89 , 108 . At time 32.5 the components are 165 , 37 . Part A For this time interval calculate the average acceleration. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. Express your answer using two significant figures. ANSWER: Correct Part B Find the magnitude of the average acceleration. Express your answer using two significant figures. ANSWER: = 4.2,4.7 = 8.4,4.7 = 2.3,-2.2 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 14 of 16 3/23/2015 11:12 AM Correct Part C Find the direction of the average acceleration (let the direction be the angle that the vector makes with the +x-axis, measured counterclockwise). ANSWER: Correct Exercise 3.4 The position of a squirrel running in a park is given by . Part A What is , the -component of the velocity of the squirrel, as function of time? ANSWER: Correct Part B What is , the y-component of the velocity of the squirrel, as function of time? ANSWER: = 3.2 = -43.1 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 15 of 16 3/23/2015 11:12 AM Correct Part C At 4.51 , how far is the squirrel from its initial position? Express your answer to three significant figures and include the appropriate units. ANSWER: All attempts used; correct answer displayed Part D At 4.51 , what is the magnitude of the squirrel’s velocity? Express your answer to three significant figures and include the appropriate units. ANSWER: Correct Part E At 4.51 , what is the direction (in degrees counterclockwise from +x-axis) of the squirrel’s velocity? Express your answer to three significant figures and include the appropriate units. ANSWER: Correct Score Summary: Your score on this assignment is 90.1%. You received 14.42 out of a possible total of 16 points. = 2.65 = 1.31 = 62.5 Week 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignme… 16 of 16 3/23/2015 11:12 AM

Question 3 (1 point) In Rotter’s model, the behavior that is most likely to be performed in a given situation is Question 3 options: the one that has been reinforced. the one with the strongest behavior potential. the one for which a model has been reinforced. the one most consistent with the person’s self concept. Question 4 (1 point) Marlene’s desk becomes so messy that on occasion she cannot find an important paper she is looking for. After several incidents in which she suffered the consequences of not finding a paper she needed (such as a homework assignment), she learned to organize and straighten her desk. Marlene learned this new behavior through which operant conditioning procedure? Question 4 options: positive reinforcement negative reinforcement punishment extinction Question 5 (1 point) Colleen is trying to decide which of two events to enter in the school track meet. She thinks she would have a better chance of winning in the 100 meter race, but decides to enter the 10,000 meter race instead. According to Rotter’s theory, Question 5 options: her generalized expectancies determined this decision. the reinforcement value of winning the 10,000 meter race is greater than the reinforcement value of winning the 100 meter race. the decision illustrates that the behavior potential does not always determine behavior. she must have been reinforced for winning the 10,000 meter race in the past. Page 1 of 3 ________________________________________ . Question 6 (1 point) A woman complains to her therapist that lately she hasn’t “felt like herself.” The therapist plans to use a behavior modification treatment by altering the rewards and punishments in the woman’s environment. What is likely to be the first step the therapist takes in setting up this treatment? Question 6 options: Define the woman’s problem in terms of observable behaviors. Interview people the woman knows to determine the extent of the problem. Obtain baseline data for how often and when the problem occurs. Determine what in the woman’s past has been responsible for causing this problem. Question 7 (1 point) According to Bandura, we learn many behaviors by observing models. Whether or not we perform these behaviors depends on Question 7 options: our expectations for rewards and punishments. the reinforcement value of the rewards. generalized expectancies. whether we are children or adults. Question 8 (1 point) According to Bandura, people are most likely to change their behavior when they believe Question 8 options: the therapist has the ability to change them. following the treatment program can lead to the desired outcome. they are capable of engaging in the behaviors needed to bring about the desired outcome. they have chosen the type of treatment themselves. Question 9 (1 point) From his observations of cats escaping from a “puzzle box” to obtain a piece of fish, Thorndike developed a theory that is known as Question 9 options: the law of operant conditioning. the law of effect. the law of consequences. the law of association. Question 10 (1 point) Edward Thorndike observed cats learning to escape from boxes to obtain a piece of fish. He derived from these observations the “law of effect.” This was an early statement of Question 10 options: classical conditioning. operant conditioning. shaping. stimulus generalization. ________________________________________ . Question 11 (1 point) According to the behaviorist position, why don’t classically conditioned phobias extinguish after the pairing is removed? Question 11 options: People expect that the feared object will continue to hurt them. The fear and associated behaviors, such as running away from the feared object, often are reinforced. The fear of the original object generalizes to additional objects. The feared object has lost all of its reinforcement value. Question 12 (1 point) John’s mother wants her son to stop crying every time something goes wrong. Following a psychologist’s advice, she stops running to comfort John whenever the boy starts crying over some minor incident. After a few weeks, she notices that John cries much less often than he used to. This is an example of Question 12 options: positive reinforcement. negative reinforcement. punishment. extinction. Question 13 (1 point) According to Bandura, behavior modification procedures Question 13 options: are most effective when used in conjunction with other types of treatments. provide people with a method to change themselves once they have decided to do so. are not as effective as behavior therapists claim. are no more effective than providing clients with no treatment. Question 14 (1 point) The behavioral approach to personality postulates that personality is Question 14 options: the combination of environmental circumstances and unconscious impulses. a function of how we feel about conditions in the environment. the consistent patterns of behavior we engage in. the result of inherited predispositions to behave in certain ways. Question 15 (1 point) A woman shows no interest in socializing with other people. How might a behaviorist explain this behavior? Question 15 options: The woman does not believe that she can interact effectively with other people. The woman has not been reinforced enough for engaging in social behavior. The woman experiences anxiety in social situations and uses her asocial style as a defense against this anxiety. The woman is either high in social anxiety or low in sociability.

Question 3 (1 point) In Rotter’s model, the behavior that is most likely to be performed in a given situation is Question 3 options: the one that has been reinforced. the one with the strongest behavior potential. the one for which a model has been reinforced. the one most consistent with the person’s self concept. Question 4 (1 point) Marlene’s desk becomes so messy that on occasion she cannot find an important paper she is looking for. After several incidents in which she suffered the consequences of not finding a paper she needed (such as a homework assignment), she learned to organize and straighten her desk. Marlene learned this new behavior through which operant conditioning procedure? Question 4 options: positive reinforcement negative reinforcement punishment extinction Question 5 (1 point) Colleen is trying to decide which of two events to enter in the school track meet. She thinks she would have a better chance of winning in the 100 meter race, but decides to enter the 10,000 meter race instead. According to Rotter’s theory, Question 5 options: her generalized expectancies determined this decision. the reinforcement value of winning the 10,000 meter race is greater than the reinforcement value of winning the 100 meter race. the decision illustrates that the behavior potential does not always determine behavior. she must have been reinforced for winning the 10,000 meter race in the past. Page 1 of 3 ________________________________________ . Question 6 (1 point) A woman complains to her therapist that lately she hasn’t “felt like herself.” The therapist plans to use a behavior modification treatment by altering the rewards and punishments in the woman’s environment. What is likely to be the first step the therapist takes in setting up this treatment? Question 6 options: Define the woman’s problem in terms of observable behaviors. Interview people the woman knows to determine the extent of the problem. Obtain baseline data for how often and when the problem occurs. Determine what in the woman’s past has been responsible for causing this problem. Question 7 (1 point) According to Bandura, we learn many behaviors by observing models. Whether or not we perform these behaviors depends on Question 7 options: our expectations for rewards and punishments. the reinforcement value of the rewards. generalized expectancies. whether we are children or adults. Question 8 (1 point) According to Bandura, people are most likely to change their behavior when they believe Question 8 options: the therapist has the ability to change them. following the treatment program can lead to the desired outcome. they are capable of engaging in the behaviors needed to bring about the desired outcome. they have chosen the type of treatment themselves. Question 9 (1 point) From his observations of cats escaping from a “puzzle box” to obtain a piece of fish, Thorndike developed a theory that is known as Question 9 options: the law of operant conditioning. the law of effect. the law of consequences. the law of association. Question 10 (1 point) Edward Thorndike observed cats learning to escape from boxes to obtain a piece of fish. He derived from these observations the “law of effect.” This was an early statement of Question 10 options: classical conditioning. operant conditioning. shaping. stimulus generalization. ________________________________________ . Question 11 (1 point) According to the behaviorist position, why don’t classically conditioned phobias extinguish after the pairing is removed? Question 11 options: People expect that the feared object will continue to hurt them. The fear and associated behaviors, such as running away from the feared object, often are reinforced. The fear of the original object generalizes to additional objects. The feared object has lost all of its reinforcement value. Question 12 (1 point) John’s mother wants her son to stop crying every time something goes wrong. Following a psychologist’s advice, she stops running to comfort John whenever the boy starts crying over some minor incident. After a few weeks, she notices that John cries much less often than he used to. This is an example of Question 12 options: positive reinforcement. negative reinforcement. punishment. extinction. Question 13 (1 point) According to Bandura, behavior modification procedures Question 13 options: are most effective when used in conjunction with other types of treatments. provide people with a method to change themselves once they have decided to do so. are not as effective as behavior therapists claim. are no more effective than providing clients with no treatment. Question 14 (1 point) The behavioral approach to personality postulates that personality is Question 14 options: the combination of environmental circumstances and unconscious impulses. a function of how we feel about conditions in the environment. the consistent patterns of behavior we engage in. the result of inherited predispositions to behave in certain ways. Question 15 (1 point) A woman shows no interest in socializing with other people. How might a behaviorist explain this behavior? Question 15 options: The woman does not believe that she can interact effectively with other people. The woman has not been reinforced enough for engaging in social behavior. The woman experiences anxiety in social situations and uses her asocial style as a defense against this anxiety. The woman is either high in social anxiety or low in sociability.

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PHSX 220 Homework 13 Paper – Due Online April 28 – 5:00 pm SHM and Wave the Equation Problem 1: A hanging mass system with a mass of 85 kg, spring constant of k= 490 N/m is realeased from rest from a distance of 10 meters below the systems equilibrium position (similar values to the bottom of a bungee jump). Calculate the following quantities in regards to this system after being released at t=0: a) The angular frequency of the system (radians/sec) b) The frequency of oscillations for the system (Hz) c) The period of oscillations for the system (seconds) d) The time it takes to get back to the equilibrium position of the system for the rst time Problem 2: A horizontal spring-mass system (mass of 2:21×10􀀀25 kg) with no friction has an ocsillation frequency of 9,192,631,770 cycles per second. (a second is de ned by 9,192,631,770 cycles of a Cs-133 atom)). Calculate the e ective spring constant of the system Problem 3: A swinging person, such as Tarzan, can be modeled after a simple pendulum with a mass of 85 kg and a length of 10 m. Consider the mass being released from rest at t=0 at an angle of +15 degrees from the vertical. Calculate the following quantities in regards to this system. You need to be in radians mode for this problem a) The angular frequency of the system (radians/sec) b) The frequency of oscillations for the system in (Hz) c) The period of oscillations of the system (seconds) d) Sketch plots of the angular position, angular velocity and angular acceleration of the system as a function of time. Hint: These will always help you with these time to it takes to a certain point in it’s cycle questions. e) The time it takes for the mass to get half way through its rst cycle (or to the other side of the swing if you were interested in timing say a rescue e ort or something along those lines) . f) The maximum angular velocity of the mass g) The maximum angular accleration of the mass h) The magnitude of the angular momentum of the mass at 3 seconds i) The magnitude of the torque acting on the mass at 3 seconds Problem 4: A wave has a wavenumber of 1 m-1, and an angular frequency of 2 radians per second, travels in the +x direction and has a maximum transverse amplitude of 0.1 m. At t=0, and x =0 the y position is equal to 0.0 m (y(0,0) = 0.0 m). a) Calculate the wavelength of the wave b) Calculate the period of oscillations for the wave c) Calculate the wave speed along the x axis d) Calculate the magnitude and direction of the transverse position of the wave at x=0.5 m and t = 8s e) Calculate the magnitude and direction of the transverse velocity of the wave at x=0.5 m and t = 8s f) Calculate the magnitude and direction of the transverse acceleration of the wave at x=0.5 m and t = 8s Problem 5-6: Chapter 16 Problem 10, 22 Additional Suggested Problems with Solutions Provided: Chapter 16 Problems 5, 9, 15, 45

PHSX 220 Homework 13 Paper – Due Online April 28 – 5:00 pm SHM and Wave the Equation Problem 1: A hanging mass system with a mass of 85 kg, spring constant of k= 490 N/m is realeased from rest from a distance of 10 meters below the systems equilibrium position (similar values to the bottom of a bungee jump). Calculate the following quantities in regards to this system after being released at t=0: a) The angular frequency of the system (radians/sec) b) The frequency of oscillations for the system (Hz) c) The period of oscillations for the system (seconds) d) The time it takes to get back to the equilibrium position of the system for the rst time Problem 2: A horizontal spring-mass system (mass of 2:21×10􀀀25 kg) with no friction has an ocsillation frequency of 9,192,631,770 cycles per second. (a second is de ned by 9,192,631,770 cycles of a Cs-133 atom)). Calculate the e ective spring constant of the system Problem 3: A swinging person, such as Tarzan, can be modeled after a simple pendulum with a mass of 85 kg and a length of 10 m. Consider the mass being released from rest at t=0 at an angle of +15 degrees from the vertical. Calculate the following quantities in regards to this system. You need to be in radians mode for this problem a) The angular frequency of the system (radians/sec) b) The frequency of oscillations for the system in (Hz) c) The period of oscillations of the system (seconds) d) Sketch plots of the angular position, angular velocity and angular acceleration of the system as a function of time. Hint: These will always help you with these time to it takes to a certain point in it’s cycle questions. e) The time it takes for the mass to get half way through its rst cycle (or to the other side of the swing if you were interested in timing say a rescue e ort or something along those lines) . f) The maximum angular velocity of the mass g) The maximum angular accleration of the mass h) The magnitude of the angular momentum of the mass at 3 seconds i) The magnitude of the torque acting on the mass at 3 seconds Problem 4: A wave has a wavenumber of 1 m-1, and an angular frequency of 2 radians per second, travels in the +x direction and has a maximum transverse amplitude of 0.1 m. At t=0, and x =0 the y position is equal to 0.0 m (y(0,0) = 0.0 m). a) Calculate the wavelength of the wave b) Calculate the period of oscillations for the wave c) Calculate the wave speed along the x axis d) Calculate the magnitude and direction of the transverse position of the wave at x=0.5 m and t = 8s e) Calculate the magnitude and direction of the transverse velocity of the wave at x=0.5 m and t = 8s f) Calculate the magnitude and direction of the transverse acceleration of the wave at x=0.5 m and t = 8s Problem 5-6: Chapter 16 Problem 10, 22 Additional Suggested Problems with Solutions Provided: Chapter 16 Problems 5, 9, 15, 45

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