Which of the following IS NOT a limitation of groups? a) Group think mentality b) Group members can come to realize that they are not alone, unique, or abnormal in their problems or concerns c) The problems of individuals may not be dealt with in enough depth d) Individuals may use the group to escape or for selfish purposes and disrupt the group process.

Which of the following IS NOT a limitation of groups? a) Group think mentality b) Group members can come to realize that they are not alone, unique, or abnormal in their problems or concerns c) The problems of individuals may not be dealt with in enough depth d) Individuals may use the group to escape or for selfish purposes and disrupt the group process.

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EENG 1920: Project II – Introduction to Electrical Engineering Assignment-10 (Optional) Due date: 11/27/2015 Problem-1 Create a VI called YourName_Problem2. On the front panel create an array of clusters called Classroom. Each cluster should have five elements in it: a string control called Name, two digital controls called Age and Final Grade, and two Booleans: one called Student? and the second called Male/Female?. The program should compute the mean age, the total number of students in the Classroom, the number of males or females, the number of students that are passing the course and display the results in an indicator cluster called Results. This cluster should have five elements in it: Mean Age, Number of Students, Number of Males, Number of Females, and Number of Students Passing or simply Passing. To determine the number of students passing the course, your program should compare the value of the final grade to a constant 75. A student is considered as passing when his/her final grade is higher than the value of the constant. Improve the VI so that the standard deviation and variance of the ages in the Classroom array are also computed. You will have to add two new indicators to your Results cluster to show these new values. Add a control to the Classroom cluster so that the user can vary the value of the constant used to determine the grade of the students. Test your program by creating a classroom of at least 10 students. Problem-2 Read the document named “In-Class Activity” posted in Lesson-12 and create a VI to replicate the block diagram shown in Figure-2. The arrows at the edge of the loop are called “Shift Registers” and can be obtained by right clicking on the edge of the loop and selecting “Add Shift Register”. The trigonometric functions can be found in “Express Math” under Arithmetic and Comparison though the block diagram. Provide a simple explanation of how you solve these problems (Problem-1 & 2). Discuss any difficulties encountered. Make sure to include all the VIs and subVIs that you created in your submission packet.

EENG 1920: Project II – Introduction to Electrical Engineering Assignment-10 (Optional) Due date: 11/27/2015 Problem-1 Create a VI called YourName_Problem2. On the front panel create an array of clusters called Classroom. Each cluster should have five elements in it: a string control called Name, two digital controls called Age and Final Grade, and two Booleans: one called Student? and the second called Male/Female?. The program should compute the mean age, the total number of students in the Classroom, the number of males or females, the number of students that are passing the course and display the results in an indicator cluster called Results. This cluster should have five elements in it: Mean Age, Number of Students, Number of Males, Number of Females, and Number of Students Passing or simply Passing. To determine the number of students passing the course, your program should compare the value of the final grade to a constant 75. A student is considered as passing when his/her final grade is higher than the value of the constant. Improve the VI so that the standard deviation and variance of the ages in the Classroom array are also computed. You will have to add two new indicators to your Results cluster to show these new values. Add a control to the Classroom cluster so that the user can vary the value of the constant used to determine the grade of the students. Test your program by creating a classroom of at least 10 students. Problem-2 Read the document named “In-Class Activity” posted in Lesson-12 and create a VI to replicate the block diagram shown in Figure-2. The arrows at the edge of the loop are called “Shift Registers” and can be obtained by right clicking on the edge of the loop and selecting “Add Shift Register”. The trigonometric functions can be found in “Express Math” under Arithmetic and Comparison though the block diagram. Provide a simple explanation of how you solve these problems (Problem-1 & 2). Discuss any difficulties encountered. Make sure to include all the VIs and subVIs that you created in your submission packet.

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NAME: _____________________________________________ (print) INTRODUCTORY SURVEYING – MINING ENGINEERING 2400 Second Midterm Exam October 24, 2014 Work all four problems in the space provided. Solutions must be neat and logically presented for full credit. 1. (25 pts) Put an “X” over the letter corresponding to correct answers for the following multiple choice questions. A theodolite is used to estimate a distance using stadia. The stadia factor is 100, the stadia constant is zero, the zenith angle is 90°, the upper reading is 10.20, the rod reading is 7.75 and the lower reading is 5.30. The best estimate for horizontal distance is: (a) 1020 ft; (b) 490 ft; (c) 245 ft; (d) if none of the preceding – provide your answer . From B the azimuth to A is 233° 15′ 30″. The angle right to C is 215° 05′ 15″. The azimuth of C to B is: (a)88°20’45”; (b) 268°20’45”; (c) 250°10’30”; (d) if none of the preceding – provide your answer. A five-level station is described as C3.5/34.1 C4.8/25.0 C6.7/0.0 C9.2/25.0 C10.8/33.6. How wide is the road? (a) 50.0 ft, (b) 67.7 ft, (c) 25.0 ft, (e) if none of the preceding – provide your answer . An engineer used a total station to complete a closed traverse at a construction site. The sum of LAT and sum of DEP were determined to be 0.04 and 0.07 respectively. The total horizontal distance measured 2510.00 ft. What is the corresponding precision? (a) 1/63000; (b) 1/36000; (c) 1/31000; (d) if none of the preceding-provide your answer. The interior angles of a closed six sided traverse measure: 34° 28′ 20″ 185° 37′ 00″ 110° 59′ 20″ 195° 10′ 40″ 81° 40′ 20″ 112° 05′ 20″ In adjusting this traverse, the adjusted value for the first angle is: (a) 34° 28′ 20″; (b) 34° 28′ 10″; ( c) 34° 28′ 30″; (d) if none of the preceding – provide your answer . 2. (15 pts) Given the position of points A and B, determine the azimuth of A to B to the nearest second. Point A 5470.00N 4710.00E Point B 5130.00N 5350.00E 3. (25 pts) The volume of a fill between station 24+00 and 26+00 on a 50-foot wide road is to be determined by the prismoidal method. The three level sections are given by: Stn. 24+00 F10.0 F12.0 F8.0 52.0 0.0 65.0 Stn. 25+00 F8.0 F10.0 F10.0 55.0 0.0 52.0 Stn. 26+00 F12.0 F8.0 F15.0 61.0 0.0 55.0 Determine the volume to the nearest 100 cubic feet. (All fill dimensions are in feet.) (Hint: The area at Stn. 25 is 760 sq ft and the area at Stn. 26 is 801.5 sq ft.) 4. (35 points) The following information was obtained from an angle-right traverse conducted on the surface with a total station (conventional practice for HI and HS, i.e. HS is above the target of interest and, therefore, indicated as negative in the notes): BS IS FS Angle Rt. Zenith Angle SD HI HS A B C 261°12’20” 97° 25’20” 355.33 4.99 -0.33 261°11’40” 262° 34’20” The position of B is N5000.00, E5000.00, El 5000.00. The azimuth of A to B is 49°18’30”. Determine the coordinates and elevation of C. Show and identify all intermediate calculations.

NAME: _____________________________________________ (print) INTRODUCTORY SURVEYING – MINING ENGINEERING 2400 Second Midterm Exam October 24, 2014 Work all four problems in the space provided. Solutions must be neat and logically presented for full credit. 1. (25 pts) Put an “X” over the letter corresponding to correct answers for the following multiple choice questions. A theodolite is used to estimate a distance using stadia. The stadia factor is 100, the stadia constant is zero, the zenith angle is 90°, the upper reading is 10.20, the rod reading is 7.75 and the lower reading is 5.30. The best estimate for horizontal distance is: (a) 1020 ft; (b) 490 ft; (c) 245 ft; (d) if none of the preceding – provide your answer . From B the azimuth to A is 233° 15′ 30″. The angle right to C is 215° 05′ 15″. The azimuth of C to B is: (a)88°20’45”; (b) 268°20’45”; (c) 250°10’30”; (d) if none of the preceding – provide your answer. A five-level station is described as C3.5/34.1 C4.8/25.0 C6.7/0.0 C9.2/25.0 C10.8/33.6. How wide is the road? (a) 50.0 ft, (b) 67.7 ft, (c) 25.0 ft, (e) if none of the preceding – provide your answer . An engineer used a total station to complete a closed traverse at a construction site. The sum of LAT and sum of DEP were determined to be 0.04 and 0.07 respectively. The total horizontal distance measured 2510.00 ft. What is the corresponding precision? (a) 1/63000; (b) 1/36000; (c) 1/31000; (d) if none of the preceding-provide your answer. The interior angles of a closed six sided traverse measure: 34° 28′ 20″ 185° 37′ 00″ 110° 59′ 20″ 195° 10′ 40″ 81° 40′ 20″ 112° 05′ 20″ In adjusting this traverse, the adjusted value for the first angle is: (a) 34° 28′ 20″; (b) 34° 28′ 10″; ( c) 34° 28′ 30″; (d) if none of the preceding – provide your answer . 2. (15 pts) Given the position of points A and B, determine the azimuth of A to B to the nearest second. Point A 5470.00N 4710.00E Point B 5130.00N 5350.00E 3. (25 pts) The volume of a fill between station 24+00 and 26+00 on a 50-foot wide road is to be determined by the prismoidal method. The three level sections are given by: Stn. 24+00 F10.0 F12.0 F8.0 52.0 0.0 65.0 Stn. 25+00 F8.0 F10.0 F10.0 55.0 0.0 52.0 Stn. 26+00 F12.0 F8.0 F15.0 61.0 0.0 55.0 Determine the volume to the nearest 100 cubic feet. (All fill dimensions are in feet.) (Hint: The area at Stn. 25 is 760 sq ft and the area at Stn. 26 is 801.5 sq ft.) 4. (35 points) The following information was obtained from an angle-right traverse conducted on the surface with a total station (conventional practice for HI and HS, i.e. HS is above the target of interest and, therefore, indicated as negative in the notes): BS IS FS Angle Rt. Zenith Angle SD HI HS A B C 261°12’20” 97° 25’20” 355.33 4.99 -0.33 261°11’40” 262° 34’20” The position of B is N5000.00, E5000.00, El 5000.00. The azimuth of A to B is 49°18’30”. Determine the coordinates and elevation of C. Show and identify all intermediate calculations.

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In the article, “The Moral Person” it talks about Lawrence Kohlberg’s stages of moral development. Briefly explain the 3 Conventional levels (pre-conventional, conventional, and post-conventional). How may these stages impact one’s ethics? Think about how culture or the social environment affects our framework for coming up with any moral or ethical answer. (Hei Lam Kwan) In the article, they talked about a push for a “global ethic” or “one world”. Do you think this is possible? Besides the Golden Rule are there any other examples of shared ethics around the world? (Nicole Thompson) The article explained that often people know the distinction between right and wrong, but still do the wrong thing. If people know what is morally right, why do they act in ways that are morally wrong? (Nicole Thompson) In McLaren’s reading, he gives us a description on an idea of personhood to help us understand a moral person. He mentions a quote from the philosopher, Sarvepalli Rhadakrishnan that caught my interest. He says, “The self is not an object which we can find in knowledge, for it is the very condition of knowledge. It is different from all objects, the body, the senses, the empirical self itself (36)”. In your opinion, what exactly does he mean by stating that? Does thinking of yourself this way help you morally? (Maggy Ergun) Video: In the video, Damon Horowitz talks about the different approaches to figuring out what is right and what is wrong. Some of them included Plato, who believed that he could uncover the “truths about Justice”, Aristotle, who thought that people should use their current knowledge to make the right decision of here and now to their best ability, and Utilitarianism, who thought it was about measuring out the options to see which one had the most benefit for the greatest amount of people. Which approach do you think is best? Would you suggest another approach? (Nicole Thompson) Damon Horowitz explains the huge power we have and that is knowledge and data we receive from technology. With all this power in our hands, you can have any information you would like to obtain whether it’s on an object or human being. And as technology keeps rising, the more advanced it keeps getting. When it comes to privacy and dignity, do you think it is fair for one another to have this huge power on us? Will this be better for our future or worse? (Maggy Ergun) Horowitz describes how we rely more on our smart devices then actual moral thinking. (Mobile operating system then moral operating system) If we were to create a moral operating system, do you think that will help provoke people from making bad/evil decisions and guide us to better? Or do those bad decisions just come instantly without much thought? (Maggy Ergun) In the video it states, “what we need is a moral operating system.” What are the possible flaws in relying on a machine/software for answering ethical problems? Discuss and list at least one problem we may encounter from relying on such a system for an ethical solution. (Hei Lam Kwan) Reviewing the answers to the previous questions given, do you think there is only one right answer to any ethical question and why? (Hei Lam Kwan) http://www.ted.com/talks/damon_horowitz?language=en this is the video

In the article, “The Moral Person” it talks about Lawrence Kohlberg’s stages of moral development. Briefly explain the 3 Conventional levels (pre-conventional, conventional, and post-conventional). How may these stages impact one’s ethics? Think about how culture or the social environment affects our framework for coming up with any moral or ethical answer. (Hei Lam Kwan) In the article, they talked about a push for a “global ethic” or “one world”. Do you think this is possible? Besides the Golden Rule are there any other examples of shared ethics around the world? (Nicole Thompson) The article explained that often people know the distinction between right and wrong, but still do the wrong thing. If people know what is morally right, why do they act in ways that are morally wrong? (Nicole Thompson) In McLaren’s reading, he gives us a description on an idea of personhood to help us understand a moral person. He mentions a quote from the philosopher, Sarvepalli Rhadakrishnan that caught my interest. He says, “The self is not an object which we can find in knowledge, for it is the very condition of knowledge. It is different from all objects, the body, the senses, the empirical self itself (36)”. In your opinion, what exactly does he mean by stating that? Does thinking of yourself this way help you morally? (Maggy Ergun) Video: In the video, Damon Horowitz talks about the different approaches to figuring out what is right and what is wrong. Some of them included Plato, who believed that he could uncover the “truths about Justice”, Aristotle, who thought that people should use their current knowledge to make the right decision of here and now to their best ability, and Utilitarianism, who thought it was about measuring out the options to see which one had the most benefit for the greatest amount of people. Which approach do you think is best? Would you suggest another approach? (Nicole Thompson) Damon Horowitz explains the huge power we have and that is knowledge and data we receive from technology. With all this power in our hands, you can have any information you would like to obtain whether it’s on an object or human being. And as technology keeps rising, the more advanced it keeps getting. When it comes to privacy and dignity, do you think it is fair for one another to have this huge power on us? Will this be better for our future or worse? (Maggy Ergun) Horowitz describes how we rely more on our smart devices then actual moral thinking. (Mobile operating system then moral operating system) If we were to create a moral operating system, do you think that will help provoke people from making bad/evil decisions and guide us to better? Or do those bad decisions just come instantly without much thought? (Maggy Ergun) In the video it states, “what we need is a moral operating system.” What are the possible flaws in relying on a machine/software for answering ethical problems? Discuss and list at least one problem we may encounter from relying on such a system for an ethical solution. (Hei Lam Kwan) Reviewing the answers to the previous questions given, do you think there is only one right answer to any ethical question and why? (Hei Lam Kwan) http://www.ted.com/talks/damon_horowitz?language=en this is the video

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Do you tend to agree or disagree with the following statement by Gage? Please explain your response. Gage(1964) argued “that theories of learning have had very little applicability to and influence on educational practice, Whether in educational psychology textbooks, methods courses, or everyday classroom teaching. He argues that theories of learning are inherently irrelevant to problems of instruction

Do you tend to agree or disagree with the following statement by Gage? Please explain your response. Gage(1964) argued “that theories of learning have had very little applicability to and influence on educational practice, Whether in educational psychology textbooks, methods courses, or everyday classroom teaching. He argues that theories of learning are inherently irrelevant to problems of instruction

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Chapter 11 Practice Problems (Practice – no credit) Due: 11:59pm on Friday, April 18, 2014 You will receive no credit for items you complete after the assignment is due. Grading Policy Understanding Work and Kinetic Energy Learning Goal: To learn about the Work-Energy Theorem and its basic applications. In this problem, you will learn about the relationship between the work done on an object and the kinetic energy of that object. The kinetic energy of an object of mass moving at a speed is defined as . It seems reasonable to say that the speed of an object–and, therefore, its kinetic energy–can be changed by performing work on the object. In this problem, we will explore the mathematical relationship between the work done on an object and the change in the kinetic energy of that object. First, let us consider a sled of mass being pulled by a constant, horizontal force of magnitude along a rough, horizontal surface. The sled is speeding up. Part A How many forces are acting on the sled? ANSWER: Part B This question will be shown after you complete previous question(s). Part C K m v K = (1/2)mv2 m F one two three four This question will be shown after you complete previous question(s). Part D This question will be shown after you complete previous question(s). Part E This question will be shown after you complete previous question(s). Part F This question will be shown after you complete previous question(s). Part G This question will be shown after you complete previous question(s). Part H This question will be shown after you complete previous question(s). Part I Typesetting math: 91% This question will be shown after you complete previous question(s). Part J This question will be shown after you complete previous question(s). Part K This question will be shown after you complete previous question(s). Work-Energy Theorem Reviewed Learning Goal: Review the work-energy theorem and apply it to a simple problem. If you push a particle of mass in the direction in which it is already moving, you expect the particle’s speed to increase. If you push with a constant force , then the particle will accelerate with acceleration (from Newton’s 2nd law). Part A Enter a one- or two-word answer that correctly completes the following statement. If the constant force is applied for a fixed interval of time , then the _____ of the particle will increase by an amount . You did not open hints for this part. ANSWER: M F a = F/M t at Typesetting math: 91% Part B Enter a one- or two-word answer that correctly completes the following statement. If the constant force is applied over a given distance , along the path of the particle, then the _____ of the particle will increase by . ANSWER: Part C If the initial kinetic energy of the particle is , and its final kinetic energy is , express in terms of and the work done on the particle. ANSWER: Part D In general, the work done by a force is written as . Now, consider whether the following statements are true or false: The dot product assures that the integrand is always nonnegative. The dot product indicates that only the component of the force perpendicular to the path contributes to the integral. The dot product indicates that only the component of the force parallel to the path contributes to the integral. Enter t for true or f for false for each statement. Separate your responses with commas (e.g., t,f,t). ANSWER: D FD Ki Kf Kf Ki W Kf = F W =  ( ) d f i F r r Typesetting math: 91% Part E Assume that the particle has initial speed . Find its final kinetic energy in terms of , , , and . You did not open hints for this part. ANSWER: Part F What is the final speed of the particle? Express your answer in terms of and . ANSWER: ± The Work Done in Pulling a Supertanker Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 2.20×106 , one at an angle 10.0 west of north, and the other at an angle 10.0 east of north, as they pull the tanker a distance 0.660 toward the north. Part A What is the total work done by the two tugboats on the supertanker? Express your answer in joules, to three significant figures. vi Kf vi M F D Kf = Kf M vf = N km Typesetting math: 91% You did not open hints for this part. ANSWER: Energy Required to Lift a Heavy Box As you are trying to move a heavy box of mass , you realize that it is too heavy for you to lift by yourself. There is no one around to help, so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. You pull up on the rope to lift the box. Use for the magnitude of the acceleration due to gravity and neglect friction forces. Part A Once you have pulled hard enough to start the box moving upward, what is the magnitude of the upward force you must apply to the rope to start raising the box with constant velocity? Express the magnitude of the force in terms of , the mass of the box. J m g F m Typesetting math: 91% You did not open hints for this part. ANSWER: Part B This question will be shown after you complete previous question(s). Pulling a Block on an Incline with Friction A block of weight sits on an inclined plane as shown. A force of magnitude is applied to pull the block up the incline at constant speed. The coefficient of kinetic friction between the plane and the block is . Part A F = mg F μ Typesetting math: 91% What is the total work done on the block by the force of friction as the block moves a distance up the incline? Express the work done by friction in terms of any or all of the variables , , , , , and . You did not open hints for this part. ANSWER: Part B What is the total work done on the block by the applied force as the block moves a distance up the incline? Express your answer in terms of any or all of the variables , , , , , and . ANSWER: Now the applied force is changed so that instead of pulling the block up the incline, the force pulls the block down the incline at a constant speed. Wfric L μ m g  L F Wfric = WF F L μ m g  L F WF = Typesetting math: 91% Part C What is the total work done on the block by the force of friction as the block moves a distance down the incline? Express your answer in terms of any or all of the variables , , , , , and . ANSWER: Part D What is the total work done on the box by the appled force in this case? Express your answer in terms of any or all of the variables , , , , , and . ANSWER: When Push Comes to Shove Two forces, of magnitudes = 75.0 and = 25.0 , act in opposite directions on a block, which sits atop a frictionless surface, as shown in the figure. Initially, the center of the block is at position = -1.00 . At some later time, the block has moved to the right, and its center is at a new position, = 1.00 . Wfric L μ m g  L F Wfric = WF μ m g  L F WF = F1 N F2 N xi cm xf cm Typesetting math: 91% Part A Find the work done on the block by the force of magnitude = 75.0 as the block moves from = -1.00 to = 1.00 . Express your answer numerically, in joules. You did not open hints for this part. ANSWER: Part B Find the work done by the force of magnitude = 25.0 as the block moves from = -1.00 to = 1.00 . Express your answer numerically, in joules. You did not open hints for this part. ANSWER: W1 F1 N xi cm xf cm W1 = J W2 F2 N xi cm xf cm Typesetting math: 91% Part C What is the net work done on the block by the two forces? Express your answer numerically, in joules. ANSWER: Part D Determine the change in the kinetic energy of the block as it moves from = -1.00 to = 1.00 . Express your answer numerically, in joules. You did not open hints for this part. ANSWER: Work from a Constant Force Learning Goal: W2 = J Wnet Wnet = J Kf − Ki xi cm xf cm Kf − Ki = J Typesetting math: 91% To understand how to compute the work done by a constant force acting on a particle that moves in a straight line. In this problem, you will calculate the work done by a constant force. A force is considered constant if is independent of . This is the most frequently encountered situation in elementary Newtonian mechanics. Part A Consider a particle moving in a straight line from initial point B to final point A, acted upon by a constant force . The force (think of it as a field, having a magnitude and direction at every position ) is indicated by a series of identical vectors pointing to the left, parallel to the horizontal axis. The vectors are all identical only because the force is constant along the path. The magnitude of the force is , and the displacement vector from point B to point A is (of magnitude , making and angle (radians) with the positive x axis). Find , the work that the force performs on the particle as it moves from point B to point A. Express the work in terms of , , and . Remember to use radians, not degrees, for any angles that appear in your answer. You did not open hints for this part. ANSWER: Part B Now consider the same force acting on a particle that travels from point A to point B. The displacement vector now points in the opposite direction as it did in Part A. Find the work done by in this case. Express your answer in terms of , , and . F( r) r F r F L L  WBA F L F  WBA = F L WAB F Typesetting math: 91% L F  You did not open hints for this part. ANSWER: ± Vector Dot Product Let vectors , , and . Calculate the following: Part A You did not open hints for this part. ANSWER: WAB = A = (2, 1,−4) B = (−3, 0, 1) C = (−1,−1, 2) Typesetting math: 91% Part B What is the angle between and ? Express your answer using one significant figure. You did not open hints for this part. ANSWER: Part C ANSWER: Part D ANSWER: A B = AB A B AB = radians 2B 3C = Typesetting math: 91% Part E Which of the following can be computed? You did not open hints for this part. ANSWER: and are different vectors with lengths and respectively. Find the following: Part F Express your answer in terms of You did not open hints for this part. ANSWER: 2(B 3C) = A B C A (B C) A (B + C) 3 A V 1 V 2 V1 V2 V1 Typesetting math: 91% Part G If and are perpendicular, You did not open hints for this part. ANSWER: Part H If and are parallel, Express your answer in terms of and . You did not open hints for this part. ANSWER: ± Tactics Box 11.1 Calculating the Work Done by a Constant Force V = 1 V 1 V 1 V 2 V = 1 V 2 V 1 V 2 V1 V2 V = 1 V 2 Typesetting math: 91% Learning Goal: To practice Tactics Box 11.1 Calculating the Work Done by a Constant Force. Recall that the work done by a constant force at an angle to the displacement is . The vector magnitudes and are always positive, so the sign of is determined entirely by the angle between the force and the displacement. W F  d W = Fd cos  F d W  Typesetting math: 91% TACTICS BOX 11.1 Calculating the work done by a constant force Force and displacement Work Sign of Energy transfer Energy is transferred into the system. The particle speeds up. increases. No energy is transferred. Speed and are constant. Energy is transferred out of the system. The particle slows down. decreases. A box has weight of magnitude = 2.00 accelerates down a rough plane that is inclined at an angle = 30.0 above the horizontal, as shown at left. The normal force acting on the box has a magnitude = 1.732 , the coefficient of kinetic friction between the box and the plane is = 0.300, and the displacement of the box is 1.80 down the inclined plane.  W W 0 F(“r) + K < 90 F("r) cos  + 90 0 0 K > 90 F(“r) cos  − K 180 −F(“r) − FG N  n N μk d m Typesetting math: 91% Part A What is the work done on the box by gravity? Express your answers in joules to two significant figures. You did not open hints for this part. ANSWER: Part B This question will be shown after you complete previous question(s). Part C This question will be shown after you complete previous question(s). Wgrav Wgrav = J Typesetting math: 91% Work and Potential Energy on a Sliding Block with Friction A block of weight sits on a plane inclined at an angle as shown. The coefficient of kinetic friction between the plane and the block is . A force is applied to push the block up the incline at constant speed. Part A What is the work done on the block by the force of friction as the block moves a distance up the incline? Express your answer in terms of some or all of the following: , , , . You did not open hints for this part. ANSWER: w  μ F Wf L μ w  L Wf = Typesetting math: 91% Part B What is the work done by the applied force of magnitude ? Express your answer in terms of some or all of the following: , , , . ANSWER: Part C What is the change in the potential energy of the block, , after it has been pushed a distance up the incline? Express your answer in terms of some or all of the following: , , , . ANSWER: Part D This question will be shown after you complete previous question(s). Part E This question will be shown after you complete previous question(s). W F μ w  L W = “U L μ w  L “U = Typesetting math: 91% Part F This question will be shown after you complete previous question(s). Where’s the Energy? Learning Goal: To understand how to apply the law of conservation of energy to situations with and without nonconservative forces acting. The law of conservation of energy states the following: In an isolated system the total energy remains constant. If the objects within the system interact through gravitational and elastic forces only, then the total mechanical energy is conserved. The mechanical energy of a system is defined as the sum of kinetic energy and potential energy . For such systems where no forces other than the gravitational and elastic forces do work, the law of conservation of energy can be written as , where the quantities with subscript “i” refer to the “initial” moment and those with subscript “f” refer to the final moment. A wise choice of initial and final moments, which is not always obvious, may significantly simplify the solution. The kinetic energy of an object that has mass \texttip{m}{m} and velocity \texttip{v}{v} is given by \large{K=\frac{1}{2}mv^2}. Potential energy, instead, has many forms. The two forms that you will be dealing with most often in this chapter are the gravitational and elastic potential energy. Gravitational potential energy is the energy possessed by elevated objects. For small heights, it can be found as U_{\rm g}=mgh, where \texttip{m}{m} is the mass of the object, \texttip{g}{g} is the acceleration due to gravity, and \texttip{h}{h} is the elevation of the object above the zero level. The zero level is the elevation at which the gravitational potential energy is assumed to be (you guessed it) zero. The choice of the zero level is dictated by convenience; typically (but not necessarily), it is selected to coincide with the lowest position of the object during the motion explored in the problem. Elastic potential energy is associated with stretched or compressed elastic objects such as springs. For a spring with a force constant \texttip{k}{k}, stretched or compressed a distance \texttip{x}{x}, the associated elastic potential energy is \large{U_{\rm e}=\frac{1}{2}kx^2}. When all three types of energy change, the law of conservation of energy for an object of mass \texttip{m}{m} can be written as K U Ki + Ui = Kf + Uf Typesetting math: 91% \large{\frac{1}{2}mv_{\rm i}^2+mgh_{\rm i}+\frac{1}{2}kx_{\rm i}^2=\frac{1}{2}mv_{\rm f \hspace{1 pt}}^2+mgh_{\rm f \hspace{1 pt}}+\frac{1}{2}kx_{\rm f \hspace{1 pt}}^2}. The gravitational force and the elastic force are two examples of conservative forces. What if nonconservative forces, such as friction, also act within the system? In that case, the total mechanical energy would change. The law of conservation of energy is then written as \large{\frac{1}{2}mv_{\rm i}^2+mgh_{\rm i}+\frac{1}{2}kx_{\rm i}^2+W_{\rm nc}=\frac{1}{2}mv_{\rm f \hspace{1 pt}}^2+mgh_{\rm f \hspace{1 pt}}+\frac{1}{2}kx_{\rm f \hspace{1 pt}}^2}, where \texttip{W_{\rm nc}}{W_nc} represents the work done by the nonconservative forces acting on the object between the initial and the final moments. The work \texttip{W_{\rm nc}}{W_nc} is usually negative; that is, the nonconservative forces tend to decrease, or dissipate, the mechanical energy of the system. In this problem, we will consider the following situation as depicted in the diagram : A block of mass \texttip{m}{m} slides at a speed \texttip{v}{v} along a horizontal, smooth table. It next slides down a smooth ramp, descending a height \texttip{h}{h}, and then slides along a horizontal rough floor, stopping eventually. Assume that the block slides slowly enough so that it does not lose contact with the supporting surfaces (table, ramp, or floor). You will analyze the motion of the block at different moments using the law of conservation of energy. Part A Which word in the statement of this problem allows you to assume that the table is frictionless? ANSWER: Part B straight smooth horizontal Typesetting math: 91% This question will be shown after you complete previous question(s). Part C This question will be shown after you complete previous question(s). Part D This question will be shown after you complete previous question(s). Part E This question will be shown after you complete previous question(s). Part F This question will be shown after you complete previous question(s). Part G This question will be shown after you complete previous question(s). Part H Typesetting math: 91% This question will be shown after you complete previous question(s). Part I This question will be shown after you complete previous question(s). Part J This question will be shown after you complete previous question(s). Part K This question will be shown after you complete previous question(s). Sliding In Socks Suppose that the coefficient of kinetic friction between Zak’s feet and the floor, while wearing socks, is 0.250. Knowing this, Zak decides to get a running start and then slide across the floor. Part A If Zak’s speed is 3.00 \rm m/s when he starts to slide, what distance \texttip{d}{d} will he slide before stopping? Express your answer in meters. ANSWER: Typesetting math: 91% Part B This question will be shown after you complete previous question(s). Score Summary: Your score on this assignment is 0%. You received 0 out of a possible total of 0 points. \rm m Typesetting math: 91%

Chapter 11 Practice Problems (Practice – no credit) Due: 11:59pm on Friday, April 18, 2014 You will receive no credit for items you complete after the assignment is due. Grading Policy Understanding Work and Kinetic Energy Learning Goal: To learn about the Work-Energy Theorem and its basic applications. In this problem, you will learn about the relationship between the work done on an object and the kinetic energy of that object. The kinetic energy of an object of mass moving at a speed is defined as . It seems reasonable to say that the speed of an object–and, therefore, its kinetic energy–can be changed by performing work on the object. In this problem, we will explore the mathematical relationship between the work done on an object and the change in the kinetic energy of that object. First, let us consider a sled of mass being pulled by a constant, horizontal force of magnitude along a rough, horizontal surface. The sled is speeding up. Part A How many forces are acting on the sled? ANSWER: Part B This question will be shown after you complete previous question(s). Part C K m v K = (1/2)mv2 m F one two three four This question will be shown after you complete previous question(s). Part D This question will be shown after you complete previous question(s). Part E This question will be shown after you complete previous question(s). Part F This question will be shown after you complete previous question(s). Part G This question will be shown after you complete previous question(s). Part H This question will be shown after you complete previous question(s). Part I Typesetting math: 91% This question will be shown after you complete previous question(s). Part J This question will be shown after you complete previous question(s). Part K This question will be shown after you complete previous question(s). Work-Energy Theorem Reviewed Learning Goal: Review the work-energy theorem and apply it to a simple problem. If you push a particle of mass in the direction in which it is already moving, you expect the particle’s speed to increase. If you push with a constant force , then the particle will accelerate with acceleration (from Newton’s 2nd law). Part A Enter a one- or two-word answer that correctly completes the following statement. If the constant force is applied for a fixed interval of time , then the _____ of the particle will increase by an amount . You did not open hints for this part. ANSWER: M F a = F/M t at Typesetting math: 91% Part B Enter a one- or two-word answer that correctly completes the following statement. If the constant force is applied over a given distance , along the path of the particle, then the _____ of the particle will increase by . ANSWER: Part C If the initial kinetic energy of the particle is , and its final kinetic energy is , express in terms of and the work done on the particle. ANSWER: Part D In general, the work done by a force is written as . Now, consider whether the following statements are true or false: The dot product assures that the integrand is always nonnegative. The dot product indicates that only the component of the force perpendicular to the path contributes to the integral. The dot product indicates that only the component of the force parallel to the path contributes to the integral. Enter t for true or f for false for each statement. Separate your responses with commas (e.g., t,f,t). ANSWER: D FD Ki Kf Kf Ki W Kf = F W =  ( ) d f i F r r Typesetting math: 91% Part E Assume that the particle has initial speed . Find its final kinetic energy in terms of , , , and . You did not open hints for this part. ANSWER: Part F What is the final speed of the particle? Express your answer in terms of and . ANSWER: ± The Work Done in Pulling a Supertanker Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 2.20×106 , one at an angle 10.0 west of north, and the other at an angle 10.0 east of north, as they pull the tanker a distance 0.660 toward the north. Part A What is the total work done by the two tugboats on the supertanker? Express your answer in joules, to three significant figures. vi Kf vi M F D Kf = Kf M vf = N km Typesetting math: 91% You did not open hints for this part. ANSWER: Energy Required to Lift a Heavy Box As you are trying to move a heavy box of mass , you realize that it is too heavy for you to lift by yourself. There is no one around to help, so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. You pull up on the rope to lift the box. Use for the magnitude of the acceleration due to gravity and neglect friction forces. Part A Once you have pulled hard enough to start the box moving upward, what is the magnitude of the upward force you must apply to the rope to start raising the box with constant velocity? Express the magnitude of the force in terms of , the mass of the box. J m g F m Typesetting math: 91% You did not open hints for this part. ANSWER: Part B This question will be shown after you complete previous question(s). Pulling a Block on an Incline with Friction A block of weight sits on an inclined plane as shown. A force of magnitude is applied to pull the block up the incline at constant speed. The coefficient of kinetic friction between the plane and the block is . Part A F = mg F μ Typesetting math: 91% What is the total work done on the block by the force of friction as the block moves a distance up the incline? Express the work done by friction in terms of any or all of the variables , , , , , and . You did not open hints for this part. ANSWER: Part B What is the total work done on the block by the applied force as the block moves a distance up the incline? Express your answer in terms of any or all of the variables , , , , , and . ANSWER: Now the applied force is changed so that instead of pulling the block up the incline, the force pulls the block down the incline at a constant speed. Wfric L μ m g  L F Wfric = WF F L μ m g  L F WF = Typesetting math: 91% Part C What is the total work done on the block by the force of friction as the block moves a distance down the incline? Express your answer in terms of any or all of the variables , , , , , and . ANSWER: Part D What is the total work done on the box by the appled force in this case? Express your answer in terms of any or all of the variables , , , , , and . ANSWER: When Push Comes to Shove Two forces, of magnitudes = 75.0 and = 25.0 , act in opposite directions on a block, which sits atop a frictionless surface, as shown in the figure. Initially, the center of the block is at position = -1.00 . At some later time, the block has moved to the right, and its center is at a new position, = 1.00 . Wfric L μ m g  L F Wfric = WF μ m g  L F WF = F1 N F2 N xi cm xf cm Typesetting math: 91% Part A Find the work done on the block by the force of magnitude = 75.0 as the block moves from = -1.00 to = 1.00 . Express your answer numerically, in joules. You did not open hints for this part. ANSWER: Part B Find the work done by the force of magnitude = 25.0 as the block moves from = -1.00 to = 1.00 . Express your answer numerically, in joules. You did not open hints for this part. ANSWER: W1 F1 N xi cm xf cm W1 = J W2 F2 N xi cm xf cm Typesetting math: 91% Part C What is the net work done on the block by the two forces? Express your answer numerically, in joules. ANSWER: Part D Determine the change in the kinetic energy of the block as it moves from = -1.00 to = 1.00 . Express your answer numerically, in joules. You did not open hints for this part. ANSWER: Work from a Constant Force Learning Goal: W2 = J Wnet Wnet = J Kf − Ki xi cm xf cm Kf − Ki = J Typesetting math: 91% To understand how to compute the work done by a constant force acting on a particle that moves in a straight line. In this problem, you will calculate the work done by a constant force. A force is considered constant if is independent of . This is the most frequently encountered situation in elementary Newtonian mechanics. Part A Consider a particle moving in a straight line from initial point B to final point A, acted upon by a constant force . The force (think of it as a field, having a magnitude and direction at every position ) is indicated by a series of identical vectors pointing to the left, parallel to the horizontal axis. The vectors are all identical only because the force is constant along the path. The magnitude of the force is , and the displacement vector from point B to point A is (of magnitude , making and angle (radians) with the positive x axis). Find , the work that the force performs on the particle as it moves from point B to point A. Express the work in terms of , , and . Remember to use radians, not degrees, for any angles that appear in your answer. You did not open hints for this part. ANSWER: Part B Now consider the same force acting on a particle that travels from point A to point B. The displacement vector now points in the opposite direction as it did in Part A. Find the work done by in this case. Express your answer in terms of , , and . F( r) r F r F L L  WBA F L F  WBA = F L WAB F Typesetting math: 91% L F  You did not open hints for this part. ANSWER: ± Vector Dot Product Let vectors , , and . Calculate the following: Part A You did not open hints for this part. ANSWER: WAB = A = (2, 1,−4) B = (−3, 0, 1) C = (−1,−1, 2) Typesetting math: 91% Part B What is the angle between and ? Express your answer using one significant figure. You did not open hints for this part. ANSWER: Part C ANSWER: Part D ANSWER: A B = AB A B AB = radians 2B 3C = Typesetting math: 91% Part E Which of the following can be computed? You did not open hints for this part. ANSWER: and are different vectors with lengths and respectively. Find the following: Part F Express your answer in terms of You did not open hints for this part. ANSWER: 2(B 3C) = A B C A (B C) A (B + C) 3 A V 1 V 2 V1 V2 V1 Typesetting math: 91% Part G If and are perpendicular, You did not open hints for this part. ANSWER: Part H If and are parallel, Express your answer in terms of and . You did not open hints for this part. ANSWER: ± Tactics Box 11.1 Calculating the Work Done by a Constant Force V = 1 V 1 V 1 V 2 V = 1 V 2 V 1 V 2 V1 V2 V = 1 V 2 Typesetting math: 91% Learning Goal: To practice Tactics Box 11.1 Calculating the Work Done by a Constant Force. Recall that the work done by a constant force at an angle to the displacement is . The vector magnitudes and are always positive, so the sign of is determined entirely by the angle between the force and the displacement. W F  d W = Fd cos  F d W  Typesetting math: 91% TACTICS BOX 11.1 Calculating the work done by a constant force Force and displacement Work Sign of Energy transfer Energy is transferred into the system. The particle speeds up. increases. No energy is transferred. Speed and are constant. Energy is transferred out of the system. The particle slows down. decreases. A box has weight of magnitude = 2.00 accelerates down a rough plane that is inclined at an angle = 30.0 above the horizontal, as shown at left. The normal force acting on the box has a magnitude = 1.732 , the coefficient of kinetic friction between the box and the plane is = 0.300, and the displacement of the box is 1.80 down the inclined plane.  W W 0 F(“r) + K < 90 F("r) cos  + 90 0 0 K > 90 F(“r) cos  − K 180 −F(“r) − FG N  n N μk d m Typesetting math: 91% Part A What is the work done on the box by gravity? Express your answers in joules to two significant figures. You did not open hints for this part. ANSWER: Part B This question will be shown after you complete previous question(s). Part C This question will be shown after you complete previous question(s). Wgrav Wgrav = J Typesetting math: 91% Work and Potential Energy on a Sliding Block with Friction A block of weight sits on a plane inclined at an angle as shown. The coefficient of kinetic friction between the plane and the block is . A force is applied to push the block up the incline at constant speed. Part A What is the work done on the block by the force of friction as the block moves a distance up the incline? Express your answer in terms of some or all of the following: , , , . You did not open hints for this part. ANSWER: w  μ F Wf L μ w  L Wf = Typesetting math: 91% Part B What is the work done by the applied force of magnitude ? Express your answer in terms of some or all of the following: , , , . ANSWER: Part C What is the change in the potential energy of the block, , after it has been pushed a distance up the incline? Express your answer in terms of some or all of the following: , , , . ANSWER: Part D This question will be shown after you complete previous question(s). Part E This question will be shown after you complete previous question(s). W F μ w  L W = “U L μ w  L “U = Typesetting math: 91% Part F This question will be shown after you complete previous question(s). Where’s the Energy? Learning Goal: To understand how to apply the law of conservation of energy to situations with and without nonconservative forces acting. The law of conservation of energy states the following: In an isolated system the total energy remains constant. If the objects within the system interact through gravitational and elastic forces only, then the total mechanical energy is conserved. The mechanical energy of a system is defined as the sum of kinetic energy and potential energy . For such systems where no forces other than the gravitational and elastic forces do work, the law of conservation of energy can be written as , where the quantities with subscript “i” refer to the “initial” moment and those with subscript “f” refer to the final moment. A wise choice of initial and final moments, which is not always obvious, may significantly simplify the solution. The kinetic energy of an object that has mass \texttip{m}{m} and velocity \texttip{v}{v} is given by \large{K=\frac{1}{2}mv^2}. Potential energy, instead, has many forms. The two forms that you will be dealing with most often in this chapter are the gravitational and elastic potential energy. Gravitational potential energy is the energy possessed by elevated objects. For small heights, it can be found as U_{\rm g}=mgh, where \texttip{m}{m} is the mass of the object, \texttip{g}{g} is the acceleration due to gravity, and \texttip{h}{h} is the elevation of the object above the zero level. The zero level is the elevation at which the gravitational potential energy is assumed to be (you guessed it) zero. The choice of the zero level is dictated by convenience; typically (but not necessarily), it is selected to coincide with the lowest position of the object during the motion explored in the problem. Elastic potential energy is associated with stretched or compressed elastic objects such as springs. For a spring with a force constant \texttip{k}{k}, stretched or compressed a distance \texttip{x}{x}, the associated elastic potential energy is \large{U_{\rm e}=\frac{1}{2}kx^2}. When all three types of energy change, the law of conservation of energy for an object of mass \texttip{m}{m} can be written as K U Ki + Ui = Kf + Uf Typesetting math: 91% \large{\frac{1}{2}mv_{\rm i}^2+mgh_{\rm i}+\frac{1}{2}kx_{\rm i}^2=\frac{1}{2}mv_{\rm f \hspace{1 pt}}^2+mgh_{\rm f \hspace{1 pt}}+\frac{1}{2}kx_{\rm f \hspace{1 pt}}^2}. The gravitational force and the elastic force are two examples of conservative forces. What if nonconservative forces, such as friction, also act within the system? In that case, the total mechanical energy would change. The law of conservation of energy is then written as \large{\frac{1}{2}mv_{\rm i}^2+mgh_{\rm i}+\frac{1}{2}kx_{\rm i}^2+W_{\rm nc}=\frac{1}{2}mv_{\rm f \hspace{1 pt}}^2+mgh_{\rm f \hspace{1 pt}}+\frac{1}{2}kx_{\rm f \hspace{1 pt}}^2}, where \texttip{W_{\rm nc}}{W_nc} represents the work done by the nonconservative forces acting on the object between the initial and the final moments. The work \texttip{W_{\rm nc}}{W_nc} is usually negative; that is, the nonconservative forces tend to decrease, or dissipate, the mechanical energy of the system. In this problem, we will consider the following situation as depicted in the diagram : A block of mass \texttip{m}{m} slides at a speed \texttip{v}{v} along a horizontal, smooth table. It next slides down a smooth ramp, descending a height \texttip{h}{h}, and then slides along a horizontal rough floor, stopping eventually. Assume that the block slides slowly enough so that it does not lose contact with the supporting surfaces (table, ramp, or floor). You will analyze the motion of the block at different moments using the law of conservation of energy. Part A Which word in the statement of this problem allows you to assume that the table is frictionless? ANSWER: Part B straight smooth horizontal Typesetting math: 91% This question will be shown after you complete previous question(s). Part C This question will be shown after you complete previous question(s). Part D This question will be shown after you complete previous question(s). Part E This question will be shown after you complete previous question(s). Part F This question will be shown after you complete previous question(s). Part G This question will be shown after you complete previous question(s). Part H Typesetting math: 91% This question will be shown after you complete previous question(s). Part I This question will be shown after you complete previous question(s). Part J This question will be shown after you complete previous question(s). Part K This question will be shown after you complete previous question(s). Sliding In Socks Suppose that the coefficient of kinetic friction between Zak’s feet and the floor, while wearing socks, is 0.250. Knowing this, Zak decides to get a running start and then slide across the floor. Part A If Zak’s speed is 3.00 \rm m/s when he starts to slide, what distance \texttip{d}{d} will he slide before stopping? Express your answer in meters. ANSWER: Typesetting math: 91% Part B This question will be shown after you complete previous question(s). Score Summary: Your score on this assignment is 0%. You received 0 out of a possible total of 0 points. \rm m Typesetting math: 91%

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Chapter 15 Practice Problems (Practice – no credit) Due: 11:59pm on Friday, May 16, 2014 You will receive no credit for items you complete after the assignment is due. Grading Policy Fluid Pressure in a U-Tube A U-tube is filled with water, and the two arms are capped. The tube is cylindrical, and the right arm has twice the radius of the left arm. The caps have negligible mass, are watertight, and can freely slide up and down the tube. Part A A one-inch depth of sand is poured onto the cap on each arm. After the caps have moved (if necessary) to reestablish equilibrium, is the right cap higher, lower, or the same height as the left cap?

Chapter 15 Practice Problems (Practice – no credit) Due: 11:59pm on Friday, May 16, 2014 You will receive no credit for items you complete after the assignment is due. Grading Policy Fluid Pressure in a U-Tube A U-tube is filled with water, and the two arms are capped. The tube is cylindrical, and the right arm has twice the radius of the left arm. The caps have negligible mass, are watertight, and can freely slide up and down the tube. Part A A one-inch depth of sand is poured onto the cap on each arm. After the caps have moved (if necessary) to reestablish equilibrium, is the right cap higher, lower, or the same height as the left cap?

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Perhaps the most important type of self-disclosure is that which a) Focuses on the relationship between you and your client b) Involves telling the client detailed stories about your personal past and present problems c) Concerns issues that you have effectively processed d) Relate to the client’s issues.

Perhaps the most important type of self-disclosure is that which a) Focuses on the relationship between you and your client b) Involves telling the client detailed stories about your personal past and present problems c) Concerns issues that you have effectively processed d) Relate to the client’s issues.

answer b
Please answer the questions related to Case Study 6.2 Slow Motion on pages 249-250 Case Study 6.2 Slow Motion 1. What is causing the problems in the shop? Will hiring more mechanics help? 2. What motivational theories seem to apply to this case? 3. What would you do to improve the situation? 4. Are age differences relevant to the problems? 5. What else could be causing the problems? What motivates Fernando, Morrie, George, and Isaac? To add an attachment: 1. Click on “add attachments.” 2. In the pop up screen, click on the computer icon. 3. Locate your document – double click on it. 4. If your assignment has been attached correctly, you will see the name of the file above the “Add Attachments” button.

Please answer the questions related to Case Study 6.2 Slow Motion on pages 249-250 Case Study 6.2 Slow Motion 1. What is causing the problems in the shop? Will hiring more mechanics help? 2. What motivational theories seem to apply to this case? 3. What would you do to improve the situation? 4. Are age differences relevant to the problems? 5. What else could be causing the problems? What motivates Fernando, Morrie, George, and Isaac? To add an attachment: 1. Click on “add attachments.” 2. In the pop up screen, click on the computer icon. 3. Locate your document – double click on it. 4. If your assignment has been attached correctly, you will see the name of the file above the “Add Attachments” button.

Please answer the questions related to Case Study 6.2 Slow … Read More...