## Economics topic Assignment 2 Value: 40% Due date: 01-Sep-2014 Return date: 22-Sep-2014 Length: about 1500-2000 words each Submission method options Alternative submission method Task Analytical essays…Corporations law Individual Research Assignment 1 1. There are two questions in this assignment. Answer both questions. 2. You must include at least one page of references. QUESTION 1 (10 Marks) …STATS1900 Business Statistics Minor Assignment â€“ 2nd Semester, 2014 Due: week 4 Total Marks: 30, Worth: 10% of final assessment This assignment requires a considerable amount of computer work and…CASE BSB, INC.: THE PIZZA WARS COME TO CAMPUS Renee Kershaw, manager of food services at a medium-sized private university in the Southeast, has just had the wind taken out of her sails. 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It is acceptable to discuss Course Content section w…The purpose of this assignment is to provide an opportunity to utilise your skills and knowledge to research the cultural differences culture within the two countries which have been selected. Descri…PRBE001 â€“ ECONOMICS FOR MANAGERS ASSIGNMENT 1 2014 TITLE: â€œMACROECONOMIC POLICIES AND THEIR IMPACTSâ€ OBJECTIVE: To critically evaluate the effects of a macroeconomic policy decision upon busi…Assignment 1 SPECIFICATIONS CIS8011_Digital Innovation Assignment 1 (30%) (1500 words maximum) This assignment continues on from the journals you produced earlier. You are expected to write a thoro…Research Paper 1: Assessment criteria ASSESSMENT Weighting: Length/Limit: 25% Maximum of 1,000 words 1 This is an individual assignment. Each week, based on the hour of e-learning activity that has …Question 1. (10marks) Using your knowledge of statutory interpretation consider whether any of the following â€˜sells or hires or offers for sale or hire or gives to any other person â€“ any knife w…Case Study 1 (20%) Due Week 5 BEO 6501 Quantitative Analysis Semester 2, 2014 Part A (5) Drink-At-Home, Inc. Drink-At-Home, Inc. (DAH, Inc.), develops, processes, and markets mixes to be used in no…this is a basic assignment regarding decision making and regression analysis. I need this assignment to be done latest by Friday i.e. 22/8/2014 my email address for future correspondence is , xxxxxxx…BCO6615 Strategic Use of ERP Systems Semester 2, 2014 Assignment 2: Short paper-essay. Date due week 6: 26/8/2014 (midnight) Available marks: 35 (Individual assignment) Your essay should be appro…1. Group Assignment 1 â€“ Porter 5 Forces. Read the article â€˜Competitive Advantage or Flexibilityâ€™ also called â€˜The End of Competitive Advantageâ€™. 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Their shop lot occup…Critically analyses the following case and say whether or not you think that the plaintiff will succeed under the tort of negligence: John was the batsman in a cricket match. He hit the ball so hard …Critically analyses the following case and say whether or not you think that the plaintiff will succeed under the tort of negligence: John was the batsman in a cricket match. He hit the ball so hard …CRICOS Provider No. 00103D Page 1 of 4 Ethics Assignment Term 2, 2014 Topic Freedom of Speech Due Date Week 6 â€“ Friday, 29 August 2014, 5:00 pm Worth 20% (40 marks â€“ ITECH 3203) 20% (50 marks â€“ …HI5018 BUSINESS LAW TRIMESTER 2, 2014 Assignment 1 â€“ Case Studies Assessment Value: 20% Word Length 1500- 2000 words Date Due: Week 5 Friday by 5pm submitted via Level 6 Question 1. 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Here is the question of the assessmentAssessment Assignment 1 Description: Assignment 1 Marks out of: 40 Wgt (%): 40 Due Date: 20 August 2014 Task: Choose a consumer good (not a service or an industrial product) that you have purchased r…Assessment item 2 Assignment 1 Value: 15% Due date: 29-Aug-2014 Return date: 19-Sep-2014 Submission method options Alternative submission method Task This assessment task consists of two (2) questions…Assignment 2 SPECIFICATIONS CIS8011_Digital Innovation Assignment 2 (30%) (1500 words maximum) This assignment continues from the first assignment and your task is to write a report on the following…Assignment 1 SPECIFICATIONS CIS8011_Digital Innovation Assignment 1 (30%) (1500 words maximum) This assignment continues on from the journals you produced earlier. You are expected to write a thoro… Write a report of 700words to demonstrate your understanding of the implementation aspects of digital innovation in the selected organization. (15%) Your journal should cover following aspects: D…HI5018 BUSINESS LAW TRIMESTER 2, 2014 Assignment 1 â€“ Case Studies Assessment Value: 20% Word Length 1500- 2000 words Date Due: Week 5 Friday by 5pm submitted via Level 6 Question 1. (10marks) Using…Please check the attached assignmentPRBE001 â€“ ECONOMICS FOR MANAGERS ASSIGNMENT 1 2014 TITLE: â€œMACROECONOMIC POLICIES AND THEIR IMPACTSâ€ OBJECTIVE: To critically evaluate the effects of a macroeconomic policy decision upon busines… HI5004 Marketing Management Tri1 2014 Individual Essay Guidelines Worth 20% Due Week 5 Marks 20 Words 1500 â€¢ Choice of Topic from the subject outline more marks if they choose a s…4.1 Individual Assignment Word length: 1000 words Format: Research Plan 1. Select an overall topic area that you wish to explore. Give a description of the topic and the particular area in which you …

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## MAT3323 Assignment 3 Semester 3, 4236 Weight: 42% Total marks: 52 Due date: Friday 6 April, 4236 45:77 AEST Submission • The assignment will be electronically submitted via StudyDesk. • You are to submit your assignment as a Portable Document Format (PDF/A) file. Word files will not be accepted by the system. Instructions on how to save a Word 4232 document in PDF/A format are included on page 7. • Hand-written and scanned assignments are perfectly acceptable, as long as they are submitted as a PDF file. You just need to ensure that the resulting scanned assignment is clearly legible. • If you choose to typeset your assignment you must ensure that all mathematical notation etc. follow standard mathematical conventions. The Learning Centre has some quick tip guides to typing Mathematics in Word (if you really need to typeset your assignment!). • If you have trouble submitting your assignment etc., please contact the examiner (mat3323@www.sci.usq.edu.au.) or via phone ASAP. Assignment instructions • Show full working for each question. Give the marker every opportunity to see how you obtained your answers. Your mathematical reasoning is just as important as the final answer. Australian Eastern Standard Time MAT3323 S3 4236 Question 3 [38 marks] Everything stored on a computer is expressed as a string of bits. However, different types of data (for example, characters and numbers) may be represented by the same string of bits. For this question, we assume that text characters (or symbols) are stored in :-bits. Table 3 maps the 34: ASCII characters to a hexadecimal value representing the state of these : bits. For example, from Table 3 the character ‘A’ has the hexadecimal value 41. Converting this hexadecimal value to binary gives the state of the :-bits (01000001) storing the character ‘A’. In this computer, numbers are stored in 34-bits. We will also assume that for a floating point (real) number, 8 of these bits are reserved for the mantissa (or significand) with 2k−1 − 1 as the exponent bias (where k is the number of bits for the characteristic). For example, the string of 46-bits 001101100011100100110101 in our computer might represent the three characters ‘8;7’ (i.e. 3×:-bits) or two numbers (2×34-bits), which will be different depending on whether the numbers are stored as integers (i.e. 867 and −1739 if integers) or as floating point numbers (0.13671875 and −0.00040435791015625 if floating point). More precisely, any floating point number between 0.13671875 and 0.140625 will have the same 34-bit pattern, in this not very accurate scheme. Similarly, any floating point number between −0.00040435791015625 and −0.0004119873046875 will also have the same 34-bit pattern. i) Find the computer representation for the negative integer −1215. ii) Find the computer representation for the negative floating point number −1215. iii) Is the number stored in Question 3(ii) exact? If not what is the actual number stored? iv) Find the bit pattern required to store the five characters ‘-3437’. The remaining parts of Question 3(v–ix) refer to the following 46-bits: 010100100110010101110010 v) Represent this string as a hexadecimal number. vi) What characters are represented by these 46-bits? vii) What pair of integers is represented by these 46-bits? viii) What pair of floating point numbers could be represented by these 46-bits? ix) What is the range of the floating point numbers could be represented by each of the two 34-bit patterns. 4 Due date: Friday 6 April, 4236 S3 4236 MAT3323 Question 4 [8 marks] In computers, colours are created by blending different combinations of red, green and blue. These colours are normally specified as three twodigit hexadecimal numbers in html, photoshop, gimp etc. For example, Brown is specified as A62929 to indicate the proportions of red, green and blue required. For grey shades the three proportions will always be equal. Moreover FF indicates that the colour is fully saturated. Hence, white corresponds to FFFFFF and Black 000000; while red is FF0000, green is 00FF00, and blue is 0000FF. This colour system is called RGB. Other applications, such as Sci/Matlab require the RGB colours to be specified in terms of the fraction of each colour required. In this case, the colour is specified by three numbers between 0 and 1, with 1 representing full colour saturation. White in this system is (1, 1, 1), and Black is (0, 0, 0). Brown in this system is given as (0.65, 0.16, 0.16); while red is (1, 0, 0); green is (0, 1, 0) and blue is (0, 0, 1). This representation is referred as the RGB colour fraction. Given that different systems are used in different applications, it is important to be able to convert between the two representations. The largest number that can be represented by a two-digit hexadecimal number is FF so we know that there are 478 possible shades of RGB that can be represented, each with a maximum value of 477. Hence, to convert the hexadecimal colour representation to a colour fraction, the following has to be done: 3. Convert each hexadecimal colour number to its decimal equivalent. 4. Divide each decimal by 255. 5. Record each fraction as the colour fraction required for that colour. Converting from a colour fraction to the hexadecimal version is the reverse of the above. To illustrate, let us consider Brown. Its shade of red is A616 . As its hexadecimal value corresponds to 166. Hence, the fraction amount of red required is: 166 255 0.65. Similarly for green the decimal equivalent of 2916 is 41. Therefore, the green colour fraction is: 41 255 0.16. The blue colour fraction for Brown is also 0.16. i) Convert the RGB values for the colours below to their equivalent RGB colour fractions. Round your answers to two decimal places. Colour name Colour Hexadecimal Rosy Brown BC8F8F Dark Khaki BDB76B Firebrick B22222 Due date: Friday 6 April, 4236 5 MAT3323 S3 4236 ii) Convert the colour fractions for the colours below to their equivalent hexadecimal values. Colour name Colour Colour fraction Deep Pink (1.000, 0.0784, 0.576) Royal Blue (0.255, 0.411, 0.882) Lime (2.4,2.:,2.4) Question 5 [: marks] i) a) Write pseudocode for an iterative algorithm which takes as its input a list of numbers and returns a list of numbers. The algorithm leaves the first number alone, but multiples each of the remaining numbers in the list by the number immediately proceeding it in the list. For example: if the input list is [5, 4,−1, 2] than the algorithm would return [5, 20,−4,−2]. b) Trace your pseudocode for Question 5(a) using [5, 4,−1, 2] as the input list. ii) Consider the following algorithm. 3. Input y be a non-fractional number in base 8. 4. s 0. 5. for i = 1 to n the number of digits in y. 5.3. s s + 8i−1 × i’th digit of y from the right 6. end for 7. output s a) Trace the algorithm starting with the input y = 1703. b) What changes would need to be made to the algorthm to convert hexadecimal to decimal? Document these changes using pseudocode. Table 3: Hexadecimal map giving the value of the : bits used to store any of the 34: standard ASCII (American Standard Code for Information Interchange) characters in our computer. 2 3 4 5 6 7 8 9 : ; A B C D E F 234 ! ” # $ % & ’ ( ) ? + , – . / 5 2 3 4 5 6 7 8 9 : ; : ; < = > ? 6 @ A B C D E F G H I J K L M N O 7 P Q R S T U V W X Y Z [ \ ] ^ _ 8 ‘ a b c d e f g h i j k l m n o 9 p q r s t u v w x y z { | } END OF ASSIGNMENT QUESTIONS 6 Due date: Friday 6 April, 4236 S3 4236 MAT3323 Steps required to produce a PDF/A file from Microsoft Word 4232. 3. Save the document as a .docx file. 4. Go to the File menu and select Save As. 5. You should now see the dialog box in Figure 3. In this dialog make sure the Save as type is PDF, as shown in Figure 3. Figure 3: Word 4232 Save As dialog with the Save as type: PDF circled. 6. Select Options from the Save As dialog box shown in Figure 3. A new window outlining extended options will appear as shown in Figure 4. Make sure that ISO 3;227-3 compliant (PDF/A) is selected as shown in Figure 4. Once completed click OK. Figure 4: Word 4232 extend PDF options with the ISO 3;227-3 compliant (PDF/A) check box highlighted. 7. Save the file with an appropriate filename. If it is your final assignment submission make sure you include your student number and course code in the file name. Due date: Friday 6 April, 4236 7

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## Project 1: Particle Trajectory in Pleated Filters Due: 12:30 pm, Dec. 1, 2015, submission through blackboard Course: Numerical Methods Instructor: Dr. Hooman V. Tafreshi Most aerosol filters are made of pleated fibrous media. This is to accommodate as much filtration media as possible in a limited space available to an air filtration unit (e.g., the engine of a car). A variety of parameters contribute to the performance of a pleated filter. These parameters include, but are not limited to, geometry of the pleat (e.g., pleat height, width, and count), microscale properties of the fibrous media (e.g., fiber diameters, fiber orientation, and solid volume fraction), aerodynamic and thermal conditions of the flow (e.g., flow velocity, temperature, and operating pressure), and particle properties (e.g., diameter, density, and shape). Figure 1: Examples of pleated air filters [1‐2]. In this project you are asked to calculate the trajectory of aerosol particles as they travel inside a rectangular pleat channel. Due to the symmetry of the pleat geometry, you only need to simulate one half of the channel (see Figure 2). Figure 2: The simulation domain and boundary conditions (the figure’s aspect ratio is altered for illustration purposes). Trajectory of the aerosol particles can be calculated in a 2‐D domain by solving the Newton’s 2nd law written for the particles in the x‐ and y‐directions, v(h) inlet velocity fibrous media v(y) y tm l h x Ui u(l) u(x) 2 2 p 1 p 1 ( , ) d x dx u x y dt dt 2 2 p 1 p 1 ( , ) d y dy v x y dt dt where 2 1/18 p p d is the particle relaxation time, 10 μm p d is the particle diameter, 1000 kg/m3 p is the particle density, and 1.85105 Pa.s is the air viscosity. Also, u(x, y) and v(x, y) represent the components of the air velocity in the x and y directions inside the pleat channel, respectively. The x and y positions of the particles are denoted by xp and yp, respectively. You may use the following expressions for u(x, y) and v(x, y) . 2 3 1 2 u x, y u x y h sin 2 v x,y v h π y h where i 1 u x U x l h is the average air velocity inside the pleat channel in the x‐direction and Ui is the velocity at the pleat entrance (assume 1 m/s for this project). l = 0.0275 m and h =0.0011 m are the pleat length and height, respectively. Writing the conservation of mass for the air flowing into the channel, you can also obtain that i v h U h l h . These 2nd order ODEs can easily be solved using a 4th order Rung‐Kutta method. In order to obtain realistic particle trajectories, you also need to consider proper initial conditions for the velocity of the particles: x(t 0) 0 , ( 0) i p p y t y , p ( 0) cos i i dx t U dt , p ( 0) sin i i dy t U dt . where i is the angle with respect to the axial direction by which a particle enters the pleat channel (see Figure 3). The inlet angle can be obtained from the following equation: 2 75 0.78 +0.16 1.61St i i p p i y y e h h where 2 St 18 2 ρPdPUi μ h is the particles Stokes number. Figure 3: An illustration of the required particle trajectory calculation inside a rectangular pleated filter. You are asked to calculate and plot the trajectories of particles released from the vertical positions of ?? ? ? 0.05?, ?? ? ? 0.25?, ?? ? ? 0.5?, ?? ? ? 0.75? , and ?? ? ? 0.95? in one single figure. To do so, you need to track the trajectories until they reach one of the channel walls (i.e., stop when xp l or p y h ). Use a time step of 0.00001 sec. For more information see Ref. [3]. For additional background information see Ref. [4] and references there. In submitting your project please stick to following guidelines: 1‐ In blackboard, submit all the Matlab files and report in one single zip file. For naming your zip file, adhere to the format as: Lastname_firstname_project1.zip For instance: Einstein_albert_project1.zip 2‐ The report should be in pdf format only with the name as Project1.pdf (NO word documents .docx or .doc will be graded). 3‐ Your zip file can contain as many Matlab files as you want to submit. Also please submit the main code which TA’s should run with the name as: Project1.m (You can name the function files as you desire). Summary of what you should submit: 1‐ Runge–Kutta 4th order implementation in MATLAB. 2‐ Plot 5 particle trajectories in one graph. 3‐ Report your output (the x‐y positions of the five particles at each time step) in the form of a table with 11 columns (one for time and two for the x and y of each particle). Make sure the units are second for time and meter for the x and y. 4‐ Write a short, but yet clean and professional report describing your work. Up to 25% of your grade will be based solely on the style and formatting of your report. Use proper heading for each section of your report. Be consistent in your font size. Use Times New Roman only. Make sure that figures have proper self‐explanatory captions and are cited in the body of the report. Make sure that your figures have legends as well as x and y labels with proper and consistent fonts. Don’t forget that any number presented in the report or on the figures has to have a proper unit. Equations and pages in your report should be numbered. Embed your figures in the text. Make sure they do not have unnecessary frames around them or are not plotted on a grey background (default setting of some software programs!). inlet angle Particle trajectory i p y i 0 p x Important Note: It is possible to solve the above ODEs using built‐in solvers such as ode45 in MATLAB, and you are encouraged to consider that for validating your MATLAB program. However, the results that you submit for this project MUST be obtained from your own implementation of the 4th order Runge‐Kutta method. You will not receive full credit if your MATALB program does not work, even if your results are absolutely correct! References: 1. http://www.airexco.net/custom‐manufacturedbr12‐inch‐pleated‐filter‐c‐108_113_114/custommadebr12‐ inch‐pleated‐filter‐p‐786.html 2. http://www.ebay.com/itm/Air‐Compressor‐Air‐Filter‐Element‐CFE‐275‐Round‐Pleated‐Filter‐ /251081172328 3. A.M. Saleh and H.V. Tafreshi, A Simple Semi‐Analytical Model for Designing Pleated Air Filters under Loading, Separation and Purification Technology 137, 94 (2014) 4. A.M. Saleh, S. Fotovati, H.V. Tafreshi, and B. Pourdeyhimi, Modeling Service Life of Pleated Filters Exposed to Poly‐Dispersed Aerosols, Powder Technology 266, 79 (2014)

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## Perception checking – 1000 words Apply the perception checking process to at least 3 different individuals Write a paper including each of the following in some way: (They need not be in this order) A brief description or outline of the basic steps in the perception checking process A detailed description of your experience in at least 1 of the applications of the process A brief mention of the other applications A summary of how it worked for you–what you learned and how you think it might apply in your life As with all writing assignments in this class, Write using the active voice wherever possible Develop a good structure with opening and closing statements and supporting material Pay attention to spelling, grammar, sentence and paragraph structure Write in the most interesting way you can

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## ield ENGL 2110-01 Midterm You must write an essay for each of the following prompts. Part I: Write a 1500 word essay (you may go over this word count, but you should not fall short of this word count) on the following prompt: Many of the readings that we have covered up to this point in the class have considered the native population that explorers encountered when they came to the “New World.” For this essay, you should examine the readings from any two of the explorers that we have encountered to this point to compare and contrast the similarities and differences between the ways that these two explorers interacted with the indigenous peoples. The thesis for this essay should make an argumentative claim as to which approach was/is more effective, and the writer should use quotations in each body paragraph (formatted correctly according to MLA style guidelines, with attributive tags to introduce the quotations and in-text citations following each quotation) to support the argument the writer is making. Please note that you should avoid summarizing the texts. Instead, your focus should be on making an argument about the ways that these explorers deal with the indigenous populations. Part II: Write a 1000 word essay (you may go over this word count, but you should not fall short of this word count) on the following prompt: Now that you have considered how the explorers interacted with the indigenous populations that they encountered, it then becomes necessary to examine how the native population viewed the explorers. Choose one of the readings that we covered in the creation/emergence accounts from Native American authors. You will then make an argumentative claim for your thesis statement about the way that this writer presents the relationship between the indigenous peoples and the European explorers. Is this a positive relationship, according to this writer? Does the writer think this is a negative relationship? You should also use quotations in each body paragraph (formatted correctly according to MLA style guidelines, with attributive tags to introduce the quotations and in-text citations following each quotation) to support the argument you are making. Please note that you should only discuss one text, and that you should avoid summarizing the text and instead focus on building and supporting an argument about the way that the author views the effect that the explorers have had or will have on the native population. Due: A typed Midterm Exam is due at the beginning of class on Wednesday, September 30th. Format: The exam should be formatted according to MLA guidelines, and it should be stapled in the upper left hand corner. It has to be from the book: The Concise Health Anthology of American Literature!!!!!!

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## Assignment 7 Due: 11:59pm on Friday, March 21, 2014 You will receive no credit for items you complete after the assignment is due. Grading Policy Conceptual Question 8.5 The figure shows two balls of equal mass moving in vertical circles. Part A Is the tension in string A greater than, less than, or equal to the tension in string B if the balls travel over the top of the circle with equal speed? ANSWER: Correct The tension in string A is less than the tension in string B. The tension in string A is equal to the tension in string B. The tension in string A is greater than the tension in string B. Part B Is the tension in string A greater than, less than, or equal to the tension in string B if the balls travel over the top of the circle with equal angular velocity? ANSWER: Correct A Mass on a Turntable: Conceptual A small metal cylinder rests on a circular turntable that is rotating at a constant rate, as illustrated in the diagram. Part A Which of the following sets of vectors best describes the velocity, acceleration, and net force acting on the cylinder at the point indicated in the diagram? The tension in string A is less than the tension in string B. The tension in string A is equal to the tension in string B. The tension in string A is greater than the tension in string B. Typesetting math: 100% Hint 1. The direction of acceleration can be determined from Newton’s second law According to Newton’s second law, the acceleration of an object has the same direction as the net force acting on that object. ANSWER: Correct Part B Let be the distance between the cylinder and the center of the turntable. Now assume that the cylinder is moved to a new location from the center of the turntable. Which of the following statements accurately describe the motion of the cylinder at the new location? Check all that apply. a b c d e R R/2 Typesetting math: 100% Hint 1. Find the speed of the cylinder Find the speed of the cylinder at the new location. Assume that the cylinder makes one complete turn in a period of time . Express your answer in terms of and . ANSWER: Hint 2. Find the acceleration of the cylinder Find the magnitude of the acceleration of the cylinder at the new location. Assume that the cylinder makes one complete turn in a period of time . Express your answer in terms of and . Hint 1. Centripetal acceleration Recall that the acceleration of an object that moves in a circular path of radius with constant speed has magnitude given by . Note that both the velocity and radius of the trajectory change when the cylinder is moved. ANSWER: ANSWER: v T R T v = R T a T R T r v a = v2 r a = 22R T 2 Typesetting math: 100% Correct Accelerating along a Racetrack A road race is taking place along the track shown in the figure . All of the cars are moving at constant speeds. The car at point F is traveling along a straight section of the track, whereas all the other cars are moving along curved segments of the track. Part A Let be the velocity of the car at point A. What can you say about the acceleration of the car at that point? Hint 1. Acceleration along a curved path The speed of the cylinder has decreased. The speed of the cylinder has increased. The magnitude of the acceleration of the cylinder has decreased. The magnitude of the acceleration of the cylinder has increased. The speed and the acceleration of the cylinder have not changed. v A Typesetting math: 100% Since acceleration is a vector quantity, an object moving at constant speed along a curved path has nonzero acceleration because the direction of its velocity is changing, even though the magnitude of its velocity (the speed) is constant. Moreover, if the speed is constant, the object’s acceleration is always perpendicular to the velocity vector at each point along the curved path and is directed toward the center of curvature of the path. ANSWER: Correct Part B Let be the velocity of the car at point C. What can you say about the acceleration of the car at that point? Hint 1. Acceleration along a curved path Since acceleration is a vector quantity, an object moving at constant speed along a curved path has nonzero acceleration because the direction of its velocity is changing, even though the magnitude of its velocity (the speed) is constant. Moreover, if the speed is constant, the object’s acceleration is always perpendicular to the velocity vector at each point along the curved path and is directed toward the center of curvature of the path. ANSWER: v v The acceleration is parallel to . The acceleration is perpendicular to and directed toward the inside of the track. The acceleration is perpendicular to and directed toward the outside of the track. The acceleration is neither parallel nor perpendicular to . The acceleration is zero. v A v A v A v A v C v v Typesetting math: 100% Correct Part C Let be the velocity of the car at point D. What can you say about the acceleration of the car at that point? Hint 1. Acceleration along a curved path Since acceleration is a vector quantity, an object moving at constant speed along a curved path has nonzero acceleration because the direction of its velocity is changing, even though the magnitude of its velocity (the speed) is constant. Moreover, if the speed is constant, the object’s acceleration is always perpendicular to the velocity vector at each point along the curved path and is directed toward the center of curvature of the path. ANSWER: Correct The acceleration is parallel to . The acceleration is perpendicular to and pointed toward the inside of the track. The acceleration is perpendicular to and pointed toward the outside of the track. The acceleration is neither parallel nor perpendicular to . The acceleration is zero. v C v C v C v C v D v v The acceleration is parallel to . The acceleration is perpendicular to and pointed toward the inside of the track. The acceleration is perpendicular to and pointed toward the outside of the track. The acceleration is neither parallel nor perpendicular to . The acceleration is zero. v D v D v D v D Typesetting math: 100% Part D Let be the velocity of the car at point F. What can you say about the acceleration of the car at that point? Hint 1. Acceleration along a straight path The velocity of an object that moves along a straight path is always parallel to the direction of the path, and the object has a nonzero acceleration only if the magnitude of its velocity changes in time. ANSWER: Correct Part E Assuming that all cars have equal speeds, which car has the acceleration of the greatest magnitude, and which one has the acceleration of the least magnitude? Use A for the car at point A, B for the car at point B, and so on. Express your answer as the name the car that has the greatest magnitude of acceleration followed by the car with the least magnitude of accelation, and separate your answers with a comma. Hint 1. How to approach the problem Recall that the magnitude of the acceleration of an object that moves at constant speed along a curved path is inversely proportional to the radius of curvature of the path. ANSWER: v F The acceleration is parallel to . The acceleration is perpendicular to and pointed toward the inside of the track. The acceleration is perpendicular to and pointed toward the outside of the track. The acceleration is neither parallel nor perpendicular to . The acceleration is zero. v F v F v F v F Typesetting math: 100% Correct Part F Assume that the car at point A and the one at point E are traveling along circular paths that have the same radius. If the car at point A now moves twice as fast as the car at point E, how is the magnitude of its acceleration related to that of car E. Hint 1. Find the acceleration of the car at point E Let be the radius of the two curves along which the cars at points A and E are traveling. What is the magnitude of the acceleration of the car at point E? Express your answer in terms of the radius of curvature and the speed of car E. Hint 1. Uniform circular motion The magnitude of the acceleration of an object that moves with constant speed along a circular path of radius is given by . ANSWER: Hint 2. Find the acceleration of the car at point A If , what is the acceleration of the car at point A? Let be the radius of the two curves along which the cars at points A and E are traveling. Express your answer in terms of the speed of the car at E and the radius . r aE r vE a v r a = v2 r aE = vE 2 r vA = 2vE aA r vE r Typesetting math: 100% Hint 1. Uniform circular motion The magnitude of the acceleration of an object that moves with constant speed along a circular path of radius is given by . ANSWER: ANSWER: Correct Problem 8.5 A 1300 car takes a 50- -radius unbanked curve at 13 . Part A What is the size of the friction force on the car? Express your answer to two significant figures and include the appropriate units. ANSWER: v r a = v2 r aA = 4vE 2 r The magnitude of the acceleration of the car at point A is twice that of the car at point E. The magnitude of the acceleration of the car at point A is the same as that of the car at point E. The magnitude of the acceleration of the car at point A is half that of the car at point E. The magnitude of the acceleration of the car at point A is four times that of the car at point E. kg m m/s Typesetting math: 100% Correct Problem 8.10 It is proposed that future space stations create an artificial gravity by rotating. Suppose a space station is constructed as a 1600- -diameter cylinder that rotates about its axis. The inside surface is the deck of the space station. Part A What rotation period will provide “normal” gravity? Express your answer with the appropriate units. ANSWER: Correct Problem 8.7 In the Bohr model of the hydrogen atom, an electron orbits a proton at a distance of . The proton pulls on the electron with an electric force of . Part A How many revolutions per second does the electron make? Express your answer with the appropriate units. ANSWER: fs = 4400 N m T = 56.8 s (mass m = 9.1 × 10−31 kg) 5.3 × 10−11 m 8.2 × 10−8 N Typesetting math: 100% Correct Problem 8.14 The weight of passengers on a roller coaster increases by 56 as the car goes through a dip with a 38 radius of curvature. Part A What is the car’s speed at the bottom of the dip? Express your answer to two significant figures and include the appropriate units. ANSWER: Correct Problem 8.18 While at the county fair, you decide to ride the Ferris wheel. Having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. To take your mind off your stomach, you wonder about the motion of the ride. You estimate the radius of the big wheel to be 14 , and you use your watch to find that each loop around takes 24 . Part A What is your speed? Express your answer to two significant figures and include the appropriate units. ANSWER: 6.56×1015 rev s % m v = 14 ms m s v = 3.7 ms Typesetting math: 100% Correct Part B What is the magnitude of your acceleration? Express your answer to two significant figures and include the appropriate units. ANSWER: Correct Part C What is the ratio of your weight at the top of the ride to your weight while standing on the ground? Express your answer using two significant figures. ANSWER: Correct Part D What is the ratio of your weight at the bottom of the ride to your weight while standing on the ground? Express your answer using two significant figures. ANSWER: a = 0.96 m s2 = 0.90 wtop FG Typesetting math: 100% Correct Enhanced EOC: Problem 8.46 A heavy ball with a weight of 120 is hung from the ceiling of a lecture hall on a 4.4- -long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.6 as it passes through the lowest point. You may want to review ( pages 201 – 204) . For help with math skills, you may want to review: Solutions of Systems of Equations Part A What is the tension in the rope at that point? Express your answer to two significant figures and include the appropriate units. Hint 1. How to approach the problem Start by drawing a free-body diagram indicating the forces acting on the ball when it is at its lowest point. Choose a coordinate system. What is the direction of the acceleration in your chosen coordinate system? What is the magnitude of the acceleration for the mass, which is moving in a circular path? What is Newton’s second law applied to the mass at the bottom of its swing? Make sure to use your coordinate system when determining the signs of all the forces and the acceleration. What is the tension in the rope at this point? ANSWER: = 1.1 wbottom FG N m m/s T = 210 N Typesetting math: 100% Correct Problem 8.43 In an amusement park ride called The Roundup, passengers stand inside a 16.0 -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure . Part A Suppose the ring rotates once every 4.80 . If a rider’s mass is 54.0 , with how much force does the ring push on her at the top of the ride? Express your answer with the appropriate units. ANSWER: Correct Part B m s kg 211 N Typesetting math: 100% Suppose the ring rotates once every 4.80 . If a rider’s mass is 54.0 , with how much force does the ring push on her at the bottom of the ride? Express your answer with the appropriate units. ANSWER: Correct Part C What is the longest rotation period of the wheel that will prevent the riders from falling off at the top? Express your answer with the appropriate units. ANSWER: Correct Conceptual Question 9.9 A 2 object is moving to the right with a speed of 1 when it experiences an impulse of 6 . Part A What is the object’s speed after the impulse? Express your answer as an integer and include the appropriate units. ANSWER: s kg 1270 N 5.68 s kg m/s i ^ Ns i ^ v = 4 ms Typesetting math: 100% Correct Part B What is the object’s direction after the impulse? ANSWER: Correct Conceptual Question 9.10 A 2 object is moving to the right with a speed of 2 when it experiences an impulse of -6 . Part A What is the object’s speed after the impulse? Express your answer as an integer and include the appropriate units. ANSWER: Correct Part B What is the object’s direction after the impulse? to the right to the left kg m/s i ^ Ns i ^ v = 1 ms Typesetting math: 100% ANSWER: Correct Problem 9.5 Part A In the figure , what value of gives an impulse of 6.4 ? Express your answer to two significant figures and include the appropriate units. ANSWER: Correct to the right to the left Fmax Ns Fmax = 1.6×103 N Typesetting math: 100% Impulse on a Baseball Learning Goal: To understand the relationship between force, impulse, and momentum. The effect of a net force acting on an object is related both to the force and to the total time the force acts on the object. The physical quantity impulse is a measure of both these effects. For a constant net force, the impulse is given by . The impulse is a vector pointing in the same direction as the force vector. The units of are or . Recall that when a net force acts on an object, the object will accelerate, causing a change in its velocity. Hence the object’s momentum ( ) will also change. The impulse-momentum theorem describes the effect that an impulse has on an object’s motion: . So the change in momentum of an object equals the net impulse, that is, the net force multiplied by the time over which the force acts. A given change in momentum can result from a large force over a short time or a smaller force over a longer time. In Parts A, B, C consider the following situation. In a baseball game the batter swings and gets a good solid hit. His swing applies a force of 12,000 to the ball for a time of . Part A Assuming that this force is constant, what is the magnitude of the impulse on the ball? Enter your answer numerically in newton seconds using two significant figures. ANSWER: Correct We often visualize the impulse by drawing a graph of force versus time. For a constant net force such as that used in the previous part, the graph will look like the one shown in the figure. (F J J = F) t J N * s kg * m/s p = mv )p = J = F) t N 0.70 × 10−3 s J J = 8.4 N * s Typesetting math: 100% Part B The net force versus time graph has a rectangular shape. Often in physics geometric properties of graphs have physical meaning. ANSWER: Correct The assumption of a constant net force is idealized to make the problem easier to solve. A real force, especially in a case like the one presented in Parts A and B, where a large force is applied for a short time, is not likely to be constant. A more realistic graph of the force that the swinging bat applies to the baseball will show the force building up to a maximum value as the bat comes into full contact with the ball. Then as the ball loses contact with the bat, the graph will show the force decaying to zero. It will look like the graph in the figure. For this graph, the length height area slope of the rectangle corresponds to the impulse. Typesetting math: 100% Part C If both the graph representing the constant net force and the graph representing the variable net force represent the same impulse acting on the baseball, which geometric properties must the two graphs have in common? ANSWER: maximum force area slope Typesetting math: 100% Correct When the net force varies over time, as in the case of the real net force acting on the baseball, you can simplify the problem by finding the average net force acting on the baseball during time . This average net force is treated as a constant force that acts on the ball for time . The impulse on the ball can then be found as . Graphically, this method states that the impulse of the baseball can be represented by either the area under the net force versus time curve or the area under the average net force versus time curve. These areas are represented in the figure as the areas shaded in red and blue respectively. The impulse of an object is also related to its change in momentum. Once the impulse is known, it can be used to find the change in momentum, or if either the initial or final momentum is known, the other momentum can be found. Keep in mind that . Because both impulse and momentum are vectors, it is essential to account for the direction of each vector, even in a one-dimensional problem. Part D Assume that a pitcher throws a baseball so that it travels in a straight line parallel to the ground. The batter then hits the ball so it goes directly back to the pitcher along the same straight line. Define the direction the pitcher originally throws the ball as the +x direction. ANSWER: F avg )t )t J = F )t avg J = )p = m(vf − vi ) Typesetting math: 100% Correct Part E Now assume that the pitcher in Part D throws a 0.145- baseball parallel to the ground with a speed of 32 in the +x direction. The batter then hits the ball so it goes directly back to the pitcher along the same straight line. What is the ball’s velocity just after leaving the bat if the bat applies an impulse of to the baseball? Enter your answer numerically in meters per second using two significant figures. ANSWER: Correct The negative sign in the answer indicates that after the bat hits the ball, the ball travels in the opposite direction to that defined to be positive. Problem 9.9 A 2.6 object is moving to the right with a speed of 1.0 when it experiences the force shown in the figure. The impulse on the ball caused by the bat will be in the positive negative x direction. kg m/s −8.4 N * s v = -26 m/s kg m/s Typesetting math: 100% Part A What is the object’s speed after the force ends? Express your answer to two significant figures and include the appropriate units. ANSWER: Correct Part B What is the object’s direction after the force ends? ANSWER: Correct Enhanced EOC: Problem 9.27 A tennis player swings her 1000 g racket with a speed of 11.0 . She hits a 60 g tennis ball that was approaching her at a speed of 19.0 . The ball rebounds at 41.0 . You may want to review ( pages 226 – 232) . For help with math skills, you may want to review: v = 0.62 ms to the right to the left m/s m/s m/s Typesetting math: 100% Solving Algebraic Equations Part A How fast is her racket moving immediately after the impact? You can ignore the interaction of the racket with her hand for the brief duration of the collision. Express your answer with the appropriate units. Hint 1. How to approach the problem Given that you can ignore the interaction of the racket with her hand during the collision, what is conserved during the collision? Draw a picture indicating the direction of the racket and ball before the collision and a separate picture for after the collision. Place a coordinate system on your pictures, indicating the positive x direction. Keeping in mind that velocity can be either positive or negative in your coordinate system, what is the initial momentum of the ball–racket system? What is the final momentum of the ball–racket system in terms of the velocity of the racket after the collision? Using conservation of momentum, what are the velocity and speed of the racket after the collision? ANSWER: Correct Part B If the tennis ball and racket are in contact for 8.00 , what is the average force that the racket exerts on the ball? Express your answer with the appropriate units. Hint 1. How to approach the problem How is the impulse on the ball related to the change in momentum of the ball? What is the change in momentum of the ball? How are the impulse on the ball and the collision time related to the average force on the ball? 7.40 ms ms Typesetting math: 100% ANSWER: Correct Problem 9.14 A 2.00×104 railroad car is rolling at 6.00 when a 6000 load of gravel is suddenly dropped in. Part A What is the car’s speed just after the gravel is loaded? Express your answer with the appropriate units. ANSWER: Correct Problem 9.17 A 330 bird flying along at 5.0 sees a 9.0 insect heading straight toward it with a speed of 34 (as measured by an observer on the ground, not by the bird). The bird opens its mouth wide and enjoys a nice lunch. Part A What is the bird’s speed immediately after swallowing? Express your answer to two significant figures and include the appropriate units. ANSWER: 450 N kg m/s kg 4.62 ms g m/s g m/s Typesetting math: 100% Correct Problem 9.20 A 50.0 archer, standing on frictionless ice, shoots a 200 arrow at a speed of 200 . Part A What is the recoil speed of the archer? Express your answer with the appropriate units. ANSWER: Correct Problem 9.25 A 40.0 ball of clay traveling east at 4.50 collides and sticks together with a 50.0 ball of clay traveling north at 4.50 . Part A What is the speed of the resulting ball of clay? Express your answer with the appropriate units. ANSWER: v = 4.0 ms kg g m/s 0.800 ms g m/s g m/s 3.20 ms Typesetting math: 100% Correct Problem 9.32 A particle of mass is at rest at . Its momentum for is given by , where is in . Part A Find an expression for , the force exerted on the particle as a function of time. Express your answer in terms of the given quantities. ANSWER: Correct Problem 9.37 Most geologists believe that the dinosaurs became extinct 65 million years ago when a large comet or asteroid struck the earth, throwing up so much dust that the sun was blocked out for a period of many months. Suppose an asteroid with a diameter of 2.0 and a mass of 1.2×1013 hits the earth with an impact speed of 4.5×104 . Part A What is the earth’s recoil speed after such a collision? (Use a reference frame in which the earth was initially at rest.) Assume that . Express your answer to two significant figures and include the appropriate units. ANSWER: m t = 0 t > 0 px = 6t2 kgm/s t s Fx(t) Fx = 12t N km kg m/s MEarth= 5.98 × 1024 kg = 9.0×10−8 v ms Typesetting math: 100% Correct Part B What percentage is this of the earth’s speed around the sun? (Use the astronomical data in the textbook.) Express your answer using two significant figures. ANSWER: Correct Problem 9.42 One billiard ball is shot east at 1.8 . A second, identical billiard ball is shot west at 1.2 . The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90 and sending it north at 1.50 . Part A What is the speed of the first ball after the collision? Express your answer to two significant figures and include the appropriate units. ANSWER: Correct Part B What is the direction of the first ball after the collision? Give the direction as an angle south of east. = 3.0×10−10 of v % the earth’s speed m/s m/s 1 m/s v = 1.6 ms Typesetting math: 100% Express your answer to two significant figures and include the appropriate units. ANSWER: Correct Problem 9.49 Two 490 blocks of wood are 2.0 apart on a frictionless table. A 12 bullet is fired at 420 toward the blocks. It passes all the way through the first block, then embeds itself in the second block. The speed of the first block immediately afterward is 5.6 . Part A What is the speed of the second block after the bullet stops? Express your answer to two significant figures and include the appropriate units. ANSWER: Correct Score Summary: Your score on this assignment is 99.5%. You received 156.21 out of a possible total of 157 points. = 68 1 g m g m/s m/s v = 4.6 ms Typesetting math: 100%

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## Mary works in a factory that produces 1,000 telephones each day. When 30 telephones were sampled, it was found that 9 were defective. Estimate how many telephones are defective each day.

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## ELEC153 Circuit Theory II M2A4 Lab: AC Parallel Circuits Introduction In this experiment we work with AC parallel circuits. As we did in the AC series circuits lab, the results obtained through Transient Analysis in MultiSim will be verified by manual calculations. Procedure 1. Figure 1 is the circuit we want to analyze.The voltage source is 24 volts peak at 1000 Hz. Figure 1: AC parallel circuit used for analysis using MultiSim Unlike the series circuit, there is no resistor in series with the voltage source that allows us to plot the current by taking advantage of its in-phase relationship. So, in order to measure the current produced by the source (total current) add a 1 Ohm resistor in series with the source. This small resistor will not affect the calculations. Figure 2: Arrangement for analyzing the current waveforms 2. Run the simulations and with the oscilloscope measure both the source voltage and the voltage across the resistor. You should get a plot similar to the following graph: Figure 3: Source voltage (red) and source current (blue) waveforms 3. From the resulting analysis plot, determine the peak current. Record it here. Measured Peak Current 4. Determine the peak current by calculation. Record it here. Does it match the measured peak current? Explain. Calculated Peak Current 5. Calculate the phase-shift. Using the method presented in the last lab, measure the time difference at the zero-crossing of the two signals. Record it here. Time difference 6. From the resulting calculation, determine the phase shift by using the following formula Record it here. Measured Phase Shift 7. Determine the phase shift by calculation. Record it here. Does it match the measured phase shift? Explain. Calculated Phase Shift 8. Change the frequency of the voltage source to 5000 Hz. Re-simulate and perform a Transient Analysis to find the new circuit current and phase angle. Measure them and record them here: Measured Current Measured Phase Shift 9. Perform the manual calculations needed to find the circuit current and phase shift. Record the calculated values here. Do they match the measured values within reason? What has happened to the circuit with an increase in frequency? Calculated Current Calculated Phase Shift 10. Replace the capacitor with a 0.8 H inductor. Set the source frequency back to 1000 Hz. Perform Transient Analysis and measure the current amplitude and phase shift. Record them here: Measured Current Measured Phase Shift 11. Perform the manual calculations needed to find the circuit current and phase shift. Record the calculated values here. Do they match the measured values within reason? Calculated Current Calculated Phase Shift 12. Change the frequency of the voltage source to 5000 Hz. Re-simulate and perform a Transient Analysis to find the new circuit current and phase angle. Measure them and record them here: Measured Current Measured Phase Shift 13. Perform the manual calculations needed to find the circuit current and phase shift. Record the calculated values here. Do they match the measured values within reason? What has happened to the circuit with an increase in frequency? Calculated Current Calculated Phase Shift Write-up and Submission In general, for each lab you do, you will be asked to setup certain circuits, simulate them, record the results, verify the results are correct by hand, and then discuss the solution. Your lab write-up should contain a one page, single spaced discussion of the lab experiment, what went right for you, what you had difficulty with, what you learned from the experiment, how it applies to our coursework, and any other comment you can think of. In addition, you should include screen shots from the MultiSim software and any other figure, table, or diagram as necessary.

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