# No Brain Too Small PHYSICS. 2 kg

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 MECHANICS: ANGULAR MECHANICS QUESTIONS ROTATIONAL MOTION (2014;1) Universal gravitational constant = N m 2 kg 2 (a) The radius of the Sun is m. The equator of the Sun rotates at a rate of 14.7 degrees per day. (i) (ii) Show that the period of rotation of a particle located on the equator of the Sun is s. Calculate the linear speed of a particle at the Sun s equator. Gravity may cause the rotating inner core of the Sun to collapse down to a much smaller radius. Explain how this will affect the angular speed of the inner core. (c) The mass of Mercury is kg. Mercury has a period of rotation of s. Show that a satellite needs to be positioned m from the centre of Mercury so that it remains stationary from the point-of-view of an observer on that planet. A space probe spins around an axis, as shown. An instrument comes loose from the space probe. Explain why this loss of mass will have no effect on the angular speed of the space probe. TOSSING BALLS (2013;1) A hollow ball has a mass of kg and radius m. The ball is thrown vertically upwards from rest. It rises through a height of 1.40 m then drops down again. When it is released, it is moving upwards at 5.24 m s -1 and rotating at 2.70 revolutions per second. During the throwing action, a tangential force of N is applied to the surface of the ball for a period of s. (a) (c) Show that the angular speed of the ball when it is released is 17.0 rad s 1. Show that the average angular acceleration of the ball before it is released is 67.9 rad s 2. Calculate the rotational inertia of the ball. For the following two situations, explain whether the height to which the ball rises will be less than, greater than, or the same as 1.40 m. Ignore the effects of air resistance. (i) (ii) The ball is not rotating, but is given the same linear speed when it is released. The ball is solid instead of hollow, but has the same mass and radius. The same amount of total work is done to give the ball its linear and rotational motion, and it has the same angular speed.

3 ROTATIONAL MOTION (2010;1) The bicycle wheel shown in the diagram consists of a set of lightweight spokes that radiate out from the hub to the rim. The wheel has a rotational inertia of kgm 2. The rim diameter of the wheel is m and the tyre diameter is m. (a) (i) The wheel rotates at a steady speed. It completes one revolution in s. Calculate its angular velocity. (ii) Calculate the rotational kinetic energy of the wheel. The rotational inertia of a hollow cylinder of mass m, and radius r, can be calculated from I = mr 2. Discuss how you could use this formula to calculate the rotational inertia of the wheel and what assumptions you would have to make. (c) A cyclist is riding a bike at a speed of 5.50 ms 1. Both wheels on the bicycle are the same as the one in the diagram. The bicycle and its rider have a total mass 68.4 kg. Calculate the work that was done to accelerate to this speed. You may ignore any frictional effects. Two common types of bicycle are road bikes and mountain bikes. Mountain bike wheels generally have a lower rotational inertia than road bike wheels. A mountain bike wheel and a road bike wheel are both accelerated at the same rate. Explain why it is easier to accelerate the mountain bike wheel than the road bike wheel. QUESTION TWO (2009;2) To start the plane, Sam has to turn the propeller by hand. When the propeller reaches a high enough angular velocity, the engine will be able to start. The propeller has a rotational inertia of 16.5 kgm 2. The engine will start when the propeller is turning at 100 revolutions per minute (rpm). (a) Show that 100 rpm is 10.5 rads -1 Sam is able to apply a constant torque to the propeller for 1/3rd of a revolution. The propeller is at rest when Sam starts to turn it. Calculate the minimum constant torque he must apply to start the engine. Sam wants to fit a new propeller, of the same length, which will be easier to accelerate to 100 rpm. Explain how the new propeller might be different to the existing propeller. When the engine is shut off, the propeller takes 20.0 s to come to a complete stop from an angular velocity of 37.7 rads -1. Calculate the number of turns the propeller completes while it slows to a stop. State any assumption(s) you have made.

4 ROTATIONAL MOTION (2008;1) Revolving doors are used in many big buildings. You may assume that the effects of friction can be ignored in this question. Jenny enters a revolving door, which is initially stationary (above diagram). She pushes on the door at point A: it accelerates at 0.48 rads -2. She stops pushing when it reaches an angular velocity of 0.58 rads -1. (a) Jenny pushes, at right angles to the door, with a force of 132 N at a point 83 cm from the central axis. Show that she exerts a torque of 110 Nm. Show that the rotational inertia of the door is 230 kgm 2. (c) Calculate the rotational kinetic energy gained by the door from Jenny. Explain how this gain in energy is related to the force Jenny exerted on the door. (e) Dorothy tells Jenny that by pushing at B she can get the door rotating to the same speed in the same time with less force. Discuss whether this idea is correct. (f) (g) The door has to rotate through a total angular displacement of 2.0 rad to allow Jenny to walk through the door (above diagram). This total includes the angular displacement during acceleration and the angular displacement at constant angular velocity. Calculate the angular displacement of the door, from the instant it reaches a constant angular velocity, until it has rotated through a total of 2.0 rad. Show that the total time that Jenny is inside the revolving door (from the moment she starts pushing until she exits), can be expressed as an equation: where ω is the maximum angular velocity of the door, α is the angular acceleration of the door and θ the angle through which the door rotates from when she stops pushing until when she exits.

5 SIMPLE HARMONIC MOTION (2008;1) Chairlifts carry skiers to the top of the mountain by way of a continuouslymoving steel cable to which the chairs are attached. As soon as the skiers sit down, the chair is lifted from the ground by the cable. The chair swings back and forth for a while. The diagram shows a side view of a chair as it oscillates (amplitude not to scale). The swinging motion of the chair and skier approximates to a simple pendulum 2.1 m long with a mass of 2.0 x 10 2 kg. Acceleration due to gravity = 9.81 ms -2 (c) The moving cable carries the chair up the hill, and so it has translational motion as well as swinging motion. The swinging motion of the chair is parallel to its translational motion, as shown in the diagram. The pendulum swing of the chair has amplitude 0.69 m. The average translational speed of the chair is 1.2 ms -1. Calculate the maximum speed at which the chair can travel past a stationary observer on the snow. Mike is walking slowly down the hill at 0.20 ms -1. At one instant the chair is moving at exactly the same velocity as Mike. Determine a position of the chair where this occurs. Describe this position by calculating its angle relative to the phasor shown, which represents an equilibrium position. This swinging is uncomfortable, so the chairs are designed to stop swinging within about four oscillations. Sketch a graph to show how the displacement of the chair (relative to the pendulum motion equilibrium position) varies with time. Show FOUR complete oscillations from the moment the chair starts to swing.

6 GOLF IN SPACE (2008;4) In November 2006, flight engineer Mikhail Tyurin hit a golf ball while he was in space, orbiting Earth on a mission on the International Space Station. When Tyurin took the shot from outside of the space craft, his feet were held by his colleague. Describe what sort of motion would have occurred if he had taken the golf shot while he was floating freely in orbit. QUESTION TWO (2007;2) Acceleration due to gravity = 9.81 ms -2. A slowly moving bowl will travel in a curved path, not a straight path. The curved path of the bowl is due to its slightly non-spherical shape, which is created by shaving a small amount off one side of the bowl. The diagrams below show the shape of the bowl. The diagram below shows the bowl, viewed from the front, held stationary on a flat surface. The reaction force, F R, on the bowl acts from the point of contact, P, through the centre of curvature of the spherical part. The gravity force, F, acts through the centre of mass of the bowl. (a) State why the centre of mass is not in the same position as the centre of curvature.

7 If the bowl is to stay in the position shown, it must be held there. If it is released it will roll over sideways, as shown in the diagram below, to position B. Explain why, when it is released, the bowl will not stay balanced at position A. When the bowl reaches position B, it has both rotational and linear kinetic energy. At position B, the bowl has a rotational speed of 2.8 rads -1. (c) The rotational inertia of the bowl is 2.16 x 10-3 kgm 2. Show that the rotational kinetic energy of the bowl at position B is 8.5 mj. The mass of the bowl is 1.50 kg and the radius, r, of its spherical surface is m. Show that the linear kinetic energy of the bowl when it reaches position B is 21 mj (You may assume that the centre of mass travels in an approximately horizontal line). In fact, the centre of mass of the bowl drops slightly as shown in the diagram. (e) (f) At position B, where has the linear and rotational energy come from? Calculate the distance the centre of mass of the bowl drops as it rolls from position A to position B (Ignore any energy losses). While the bowl is rolling over sideways, friction between the bowl and the flat surface is acting in the direction shown below. (g) (h) Explain why friction acts in this direction. When the bowl is rolling forwards (after it has been bowled), this frictional force will still be acting sideways (at right angles to the forward direction). Explain why, after it has been bowled, the path of the bowl curves.

8 DIVING OFF THE HIGH BOARD (2006;3) Hopi performs a dive from the high board. After B leaving the board at A, he travels up in the air to B, tucking his body into a ball. At the end of his dive, he straightens his body and enters the water head first at C. When Hopi s body is in the tucked position during the rotations, his rotational inertia is 3.73 kgm 2. Hopi s mass is 76 kg. (a) When Hopi s body is in the tucked position, his shape can be modelled by a solid sphere of rotational inertia I = 2 5 mr2 Calculate the radius of the sphere that models Hopi s shape. Explain why Hopi must tuck his body if the rotations are to be completed before he enters the water. While his body is in the tucked position, Hopi s angular speed is a constant 9.82 rads -1. He does two complete rotations in this tucked position. Show that his angular momentum, while he is rotating in the tucked position, is 36.6 kgm 2 s -1. (c) Calculate the time it takes him to complete the two rotations in the tucked position. At the end of the tucked rotations, Hopi straightens his body for the entry into the water. What physics principle applies while Hopi is straightening his body? It takes Hopi 0.32 s to straighten his body, and during this time his rotational inertia increases by factor of 5. (e) Calculate his angular deceleration during this time.

9 LINEAR AND ROTATIONAL MOTION (2005;1) The London Eye is a giant rotating wheel that has 32 capsules attached at evenly spaced intervals to its outer rim. Passengers riding in the capsules get spectacular views over London, especially at the top. The capsules each have mass 1.0 x 10 4 kg and are at a distance of 68 m from the centre of the wheel. They travel at a constant speed of 0.26 ms -1. (a) Show that the angular speed of the wheel is 3.8 x 10-3 rads Calculate the time it takes the wheel to travel a complete revolution. When the London Eye is started up each day there are no passengers in the capsules and it takes2.3 s for an average net torque of 4.6 x 10 7 Nm to accelerate the wheel from rest to its operational speed of 0.26 ms -1. (c) (e) (f) (g) (h) Calculate the average angular acceleration of the wheel. Calculate the angle, in degrees, the wheel turns through during start-up. Calculate the rotational inertia of the wheel. In practice, the angular acceleration will gradually reduce to zero during the 2.3 s. It will continue to be zero after this time even though a torque continues to be applied. Explain why the angular acceleration behaves in this way. At what point on the wheel could a force be applied to give maximum torque? By considering what happens to kinetic energy, gravitational potential energy and any other forms of energy, describe and explain the energy transformations that occur while the wheel rotates. The passengers enter and leave the capsules from a deck at the bottom of the wheel. Because the wheel does not stop, each capsule is travelling in the arc of a circle as it moves past the horizontal deck. It takes 29 s for a capsule to pass in front of the deck. The first part of the deck, which is passed during the first half of this time, is for passengers leaving the capsule. The second part of the deck is used by passengers entering the capsule.

### Unit 4 Practice Test: Rotational Motion

Unit 4 Practice Test: Rotational Motion Multiple Guess Identify the letter of the choice that best completes the statement or answers the question. 1. How would an angle in radians be converted to an angle

### Physics 2A, Sec B00: Mechanics -- Winter 2011 Instructor: B. Grinstein Final Exam

Physics 2A, Sec B00: Mechanics -- Winter 2011 Instructor: B. Grinstein Final Exam INSTRUCTIONS: Use a pencil #2 to fill your scantron. Write your code number and bubble it in under "EXAM NUMBER;" an entry

### PHYS 211 FINAL FALL 2004 Form A

1. Two boys with masses of 40 kg and 60 kg are holding onto either end of a 10 m long massless pole which is initially at rest and floating in still water. They pull themselves along the pole toward each

### Chapter 10 Rotational Motion. Copyright 2009 Pearson Education, Inc.

Chapter 10 Rotational Motion Angular Quantities Units of Chapter 10 Vector Nature of Angular Quantities Constant Angular Acceleration Torque Rotational Dynamics; Torque and Rotational Inertia Solving Problems

### Chapter 8: Rotational Motion of Solid Objects

Chapter 8: Rotational Motion of Solid Objects 1. An isolated object is initially spinning at a constant speed. Then, although no external forces act upon it, its rotational speed increases. This must be

### Practice Exam Three Solutions

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01T Fall Term 2004 Practice Exam Three Solutions Problem 1a) (5 points) Collisions and Center of Mass Reference Frame In the lab frame,

### 3600 s 1 h. 24 h 1 day. 1 day

Week 7 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution

### AP Physics Circular Motion Practice Test B,B,B,A,D,D,C,B,D,B,E,E,E, 14. 6.6m/s, 0.4 N, 1.5 m, 6.3m/s, 15. 12.9 m/s, 22.9 m/s

AP Physics Circular Motion Practice Test B,B,B,A,D,D,C,B,D,B,E,E,E, 14. 6.6m/s, 0.4 N, 1.5 m, 6.3m/s, 15. 12.9 m/s, 22.9 m/s Answer the multiple choice questions (2 Points Each) on this sheet with capital

### Center of Gravity. We touched on this briefly in chapter 7! x 2

Center of Gravity We touched on this briefly in chapter 7! x 1 x 2 cm m 1 m 2 This was for what is known as discrete objects. Discrete refers to the fact that the two objects separated and individual.

### Lecture 17. Last time we saw that the rotational analog of Newton s 2nd Law is

Lecture 17 Rotational Dynamics Rotational Kinetic Energy Stress and Strain and Springs Cutnell+Johnson: 9.4-9.6, 10.1-10.2 Rotational Dynamics (some more) Last time we saw that the rotational analog of

### Tennessee State University

Tennessee State University Dept. of Physics & Mathematics PHYS 2010 CF SU 2009 Name 30% Time is 2 hours. Cheating will give you an F-grade. Other instructions will be given in the Hall. MULTIPLE CHOICE.

### PHYS 101-4M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

PHYS 101-4M, Fall 2005 Exam #3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A bicycle wheel rotates uniformly through 2.0 revolutions in

### Chapter 5 Using Newton s Laws: Friction, Circular Motion, Drag Forces. Copyright 2009 Pearson Education, Inc.

Chapter 5 Using Newton s Laws: Friction, Circular Motion, Drag Forces Units of Chapter 5 Applications of Newton s Laws Involving Friction Uniform Circular Motion Kinematics Dynamics of Uniform Circular

### PHYSICS 111 HOMEWORK SOLUTION #10. April 8, 2013

PHYSICS HOMEWORK SOLUTION #0 April 8, 203 0. Find the net torque on the wheel in the figure below about the axle through O, taking a = 6.0 cm and b = 30.0 cm. A torque that s produced by a force can be

### Physics 201 Homework 8

Physics 201 Homework 8 Feb 27, 2013 1. A ceiling fan is turned on and a net torque of 1.8 N-m is applied to the blades. 8.2 rad/s 2 The blades have a total moment of inertia of 0.22 kg-m 2. What is the

### CHAPTER 6 WORK AND ENERGY

CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS. REASONING AND SOLUTION The work done by F in moving the box through a displacement s is W = ( F cos 0 ) s= Fs. The work done by F is W = ( F cos θ). s From

### C B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N

Three boxes are connected by massless strings and are resting on a frictionless table. Each box has a mass of 15 kg, and the tension T 1 in the right string is accelerating the boxes to the right at a

### Lecture 16. Newton s Second Law for Rotation. Moment of Inertia. Angular momentum. Cutnell+Johnson: 9.4, 9.6

Lecture 16 Newton s Second Law for Rotation Moment of Inertia Angular momentum Cutnell+Johnson: 9.4, 9.6 Newton s Second Law for Rotation Newton s second law says how a net force causes an acceleration.

### State Newton's second law of motion for a particle, defining carefully each term used.

5 Question 1. [Marks 20] An unmarked police car P is, travelling at the legal speed limit, v P, on a straight section of highway. At time t = 0, the police car is overtaken by a car C, which is speeding

### Practice TEST 2. Explain your reasoning

Practice TEST 2 1. Imagine taking an elevator ride from the1 st floor to the 10 th floor of a building. While moving between the 1 st and 2 nd floors the elevator speeds up, but then moves at a constant

### Lab 7: Rotational Motion

Lab 7: Rotational Motion Equipment: DataStudio, rotary motion sensor mounted on 80 cm rod and heavy duty bench clamp (PASCO ME-9472), string with loop at one end and small white bead at the other end (125

### AP Physics - Chapter 8 Practice Test

AP Physics - Chapter 8 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A single conservative force F x = (6.0x 12) N (x is in m) acts on

### Rotation: Moment of Inertia and Torque

Rotation: Moment of Inertia and Torque Every time we push a door open or tighten a bolt using a wrench, we apply a force that results in a rotational motion about a fixed axis. Through experience we learn

### Midterm Solutions. mvr = ω f (I wheel + I bullet ) = ω f 2 MR2 + mr 2 ) ω f = v R. 1 + M 2m

Midterm Solutions I) A bullet of mass m moving at horizontal velocity v strikes and sticks to the rim of a wheel a solid disc) of mass M, radius R, anchored at its center but free to rotate i) Which of

### Chapter 3.8 & 6 Solutions

Chapter 3.8 & 6 Solutions P3.37. Prepare: We are asked to find period, speed and acceleration. Period and frequency are inverses according to Equation 3.26. To find speed we need to know the distance traveled

### Supplemental Questions

Supplemental Questions The fastest of all fishes is the sailfish. If a sailfish accelerates at a rate of 14 (km/hr)/sec [fwd] for 4.7 s from its initial velocity of 42 km/h [fwd], what is its final velocity?

### 9. The kinetic energy of the moving object is (1) 5 J (3) 15 J (2) 10 J (4) 50 J

1. If the kinetic energy of an object is 16 joules when its speed is 4.0 meters per second, then the mass of the objects is (1) 0.5 kg (3) 8.0 kg (2) 2.0 kg (4) 19.6 kg Base your answers to questions 9

### Problem Set 1. Ans: a = 1.74 m/s 2, t = 4.80 s

Problem Set 1 1.1 A bicyclist starts from rest and after traveling along a straight path a distance of 20 m reaches a speed of 30 km/h. Determine her constant acceleration. How long does it take her to

### PHYSICS 111 HOMEWORK SOLUTION #9. April 5, 2013

PHYSICS 111 HOMEWORK SOLUTION #9 April 5, 2013 0.1 A potter s wheel moves uniformly from rest to an angular speed of 0.16 rev/s in 33 s. Find its angular acceleration in radians per second per second.

### EDUH 1017 - SPORTS MECHANICS

4277(a) Semester 2, 2011 Page 1 of 9 THE UNIVERSITY OF SYDNEY EDUH 1017 - SPORTS MECHANICS NOVEMBER 2011 Time allowed: TWO Hours Total marks: 90 MARKS INSTRUCTIONS All questions are to be answered. Use

### AP Physics C Fall Final Web Review

Name: Class: _ Date: _ AP Physics C Fall Final Web Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. On a position versus time graph, the slope of

### 226 Chapter 15: OSCILLATIONS

Chapter 15: OSCILLATIONS 1. In simple harmonic motion, the restoring force must be proportional to the: A. amplitude B. frequency C. velocity D. displacement E. displacement squared 2. An oscillatory motion

### Chapter 11. h = 5m. = mgh + 1 2 mv 2 + 1 2 Iω 2. E f. = E i. v = 4 3 g(h h) = 4 3 9.8m / s2 (8m 5m) = 6.26m / s. ω = v r = 6.

Chapter 11 11.7 A solid cylinder of radius 10cm and mass 1kg starts from rest and rolls without slipping a distance of 6m down a house roof that is inclined at 30 degrees (a) What is the angular speed

### Angular acceleration α

Angular Acceleration Angular acceleration α measures how rapidly the angular velocity is changing: Slide 7-0 Linear and Circular Motion Compared Slide 7- Linear and Circular Kinematics Compared Slide 7-

### F N A) 330 N 0.31 B) 310 N 0.33 C) 250 N 0.27 D) 290 N 0.30 E) 370 N 0.26

Physics 23 Exam 2 Spring 2010 Dr. Alward Page 1 1. A 250-N force is directed horizontally as shown to push a 29-kg box up an inclined plane at a constant speed. Determine the magnitude of the normal force,

### AP1 Oscillations. 1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false?

1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The

### Review Assessment: Lec 02 Quiz

COURSES > PHYSICS GUEST SITE > CONTROL PANEL > 1ST SEM. QUIZZES > REVIEW ASSESSMENT: LEC 02 QUIZ Review Assessment: Lec 02 Quiz Name: Status : Score: Instructions: Lec 02 Quiz Completed 20 out of 100 points

### PHYS 117- Exam I. Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.

PHYS 117- Exam I Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Car A travels from milepost 343 to milepost 349 in 5 minutes. Car B travels

### III. Applications of Force and Motion Concepts. Concept Review. Conflicting Contentions. 1. Airplane Drop 2. Moving Ball Toss 3. Galileo s Argument

III. Applications of Force and Motion Concepts Concept Review Conflicting Contentions 1. Airplane Drop 2. Moving Ball Toss 3. Galileo s Argument Qualitative Reasoning 1. Dropping Balls 2. Spinning Bug

### PHY121 #8 Midterm I 3.06.2013

PHY11 #8 Midterm I 3.06.013 AP Physics- Newton s Laws AP Exam Multiple Choice Questions #1 #4 1. When the frictionless system shown above is accelerated by an applied force of magnitude F, the tension

### Lecture Presentation Chapter 7 Rotational Motion

Lecture Presentation Chapter 7 Rotational Motion Suggested Videos for Chapter 7 Prelecture Videos Describing Rotational Motion Moment of Inertia and Center of Gravity Newton s Second Law for Rotation Class

### Friction and Gravity. Friction. Section 2. The Causes of Friction

Section 2 Friction and Gravity What happens when you jump on a sled on the side of a snow-covered hill? Without actually doing this, you can predict that the sled will slide down the hill. Now think about

### 10.1 Quantitative. Answer: A Var: 50+

Chapter 10 Energy and Work 10.1 Quantitative 1) A child does 350 J of work while pulling a box from the ground up to his tree house with a rope. The tree house is 4.8 m above the ground. What is the mass

### Physics 1A Lecture 10C

Physics 1A Lecture 10C "If you neglect to recharge a battery, it dies. And if you run full speed ahead without stopping for water, you lose momentum to finish the race. --Oprah Winfrey Static Equilibrium

### PHY231 Section 2, Form A March 22, 2012. 1. Which one of the following statements concerning kinetic energy is true?

1. Which one of the following statements concerning kinetic energy is true? A) Kinetic energy can be measured in watts. B) Kinetic energy is always equal to the potential energy. C) Kinetic energy is always

### Work, Energy & Momentum Homework Packet Worksheet 1: This is a lot of work!

Work, Energy & Momentum Homework Packet Worksheet 1: This is a lot of work! 1. A student holds her 1.5-kg psychology textbook out of a second floor classroom window until her arm is tired; then she releases

### Work, Energy and Power Practice Test 1

Name: ate: 1. How much work is required to lift a 2-kilogram mass to a height of 10 meters?. 5 joules. 20 joules. 100 joules. 200 joules 5. ar and car of equal mass travel up a hill. ar moves up the hill

### TIME OF COMPLETION NAME SOLUTION DEPARTMENT OF NATURAL SCIENCES. PHYS 1111, Exam 3 Section 1 Version 1 December 6, 2005 Total Weight: 100 points

TIME OF COMPLETION NAME SOLUTION DEPARTMENT OF NATURAL SCIENCES PHYS 1111, Exam 3 Section 1 Version 1 December 6, 2005 Total Weight: 100 points 1. Check your examination for completeness prior to starting.

### State Newton's second law of motion for a particle, defining carefully each term used.

5 Question 1. [Marks 28] An unmarked police car P is, travelling at the legal speed limit, v P, on a straight section of highway. At time t = 0, the police car is overtaken by a car C, which is speeding

### Lab 8: Ballistic Pendulum

Lab 8: Ballistic Pendulum Equipment: Ballistic pendulum apparatus, 2 meter ruler, 30 cm ruler, blank paper, carbon paper, masking tape, scale. Caution In this experiment a steel ball is projected horizontally

### Curso2012-2013 Física Básica Experimental I Cuestiones Tema IV. Trabajo y energía.

1. A body of mass m slides a distance d along a horizontal surface. How much work is done by gravity? A) mgd B) zero C) mgd D) One cannot tell from the given information. E) None of these is correct. 2.

### Practice Test SHM with Answers

Practice Test SHM with Answers MPC 1) If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one

### SOLID MECHANICS DYNAMICS TUTORIAL MOMENT OF INERTIA. This work covers elements of the following syllabi.

SOLID MECHANICS DYNAMICS TUTOIAL MOMENT OF INETIA This work covers elements of the following syllabi. Parts of the Engineering Council Graduate Diploma Exam D5 Dynamics of Mechanical Systems Parts of the

### BHS Freshman Physics Review. Chapter 2 Linear Motion Physics is the oldest science (astronomy) and the foundation for every other science.

BHS Freshman Physics Review Chapter 2 Linear Motion Physics is the oldest science (astronomy) and the foundation for every other science. Galileo (1564-1642): 1 st true scientist and 1 st person to use

### Acceleration due to Gravity

Acceleration due to Gravity 1 Object To determine the acceleration due to gravity by different methods. 2 Apparatus Balance, ball bearing, clamps, electric timers, meter stick, paper strips, precision

### PHY231 Section 1, Form B March 22, 2012

1. A car enters a horizontal, curved roadbed of radius 50 m. The coefficient of static friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate

### Lecture 07: Work and Kinetic Energy. Physics 2210 Fall Semester 2014

Lecture 07: Work and Kinetic Energy Physics 2210 Fall Semester 2014 Announcements Schedule next few weeks: 9/08 Unit 3 9/10 Unit 4 9/15 Unit 5 (guest lecturer) 9/17 Unit 6 (guest lecturer) 9/22 Unit 7,

### Physics 41 HW Set 1 Chapter 15

Physics 4 HW Set Chapter 5 Serway 8 th OC:, 4, 7 CQ: 4, 8 P: 4, 5, 8, 8, 0, 9,, 4, 9, 4, 5, 5 Discussion Problems:, 57, 59, 67, 74 OC CQ P: 4, 5, 8, 8, 0, 9,, 4, 9, 4, 5, 5 Discussion Problems:, 57, 59,

### AP Physics C. Oscillations/SHM Review Packet

AP Physics C Oscillations/SHM Review Packet 1. A 0.5 kg mass on a spring has a displacement as a function of time given by the equation x(t) = 0.8Cos(πt). Find the following: a. The time for one complete

### Ph\sics 2210 Fall 2012 - Novcmbcr 21 David Ailion

Ph\sics 2210 Fall 2012 - Novcmbcr 21 David Ailion Unid: Discussion T A: Bryant Justin Will Yuan 1 Place answers in box provided for each question. Specify units for each answer. Circle correct answer(s)

### Chapter 3 Falling Objects and Projectile Motion

Chapter 3 Falling Objects and Projectile Motion Gravity influences motion in a particular way. How does a dropped object behave?!does the object accelerate, or is the speed constant?!do two objects behave

### Exam 1 Review Questions PHY 2425 - Exam 1

Exam 1 Review Questions PHY 2425 - Exam 1 Exam 1H Rev Ques.doc - 1 - Section: 1 7 Topic: General Properties of Vectors Type: Conceptual 1 Given vector A, the vector 3 A A) has a magnitude 3 times that

### AS COMPETITION PAPER 2008

AS COMPETITION PAPER 28 Name School Town & County Total Mark/5 Time Allowed: One hour Attempt as many questions as you can. Write your answers on this question paper. Marks allocated for each question

### 11. Rotation Translational Motion: Rotational Motion:

11. Rotation Translational Motion: Motion of the center of mass of an object from one position to another. All the motion discussed so far belongs to this category, except uniform circular motion. Rotational

### Chapter 7: Momentum and Impulse

Chapter 7: Momentum and Impulse 1. When a baseball bat hits the ball, the impulse delivered to the ball is increased by A. follow through on the swing. B. rapidly stopping the bat after impact. C. letting

### LAB 6: GRAVITATIONAL AND PASSIVE FORCES

55 Name Date Partners LAB 6: GRAVITATIONAL AND PASSIVE FORCES And thus Nature will be very conformable to herself and very simple, performing all the great Motions of the heavenly Bodies by the attraction

### Physics 11 Assignment KEY Dynamics Chapters 4 & 5

Physics Assignment KEY Dynamics Chapters 4 & 5 ote: for all dynamics problem-solving questions, draw appropriate free body diagrams and use the aforementioned problem-solving method.. Define the following

### Work, Power, Energy Multiple Choice. PSI Physics. Multiple Choice Questions

Work, Power, Energy Multiple Choice PSI Physics Name Multiple Choice Questions 1. A block of mass m is pulled over a distance d by an applied force F which is directed in parallel to the displacement.

### Speed A B C. Time. Chapter 3: Falling Objects and Projectile Motion

Chapter 3: Falling Objects and Projectile Motion 1. Neglecting friction, if a Cadillac and Volkswagen start rolling down a hill together, the heavier Cadillac will get to the bottom A. before the Volkswagen.

### Solution Derivations for Capa #11

Solution Derivations for Capa #11 1) A horizontal circular platform (M = 128.1 kg, r = 3.11 m) rotates about a frictionless vertical axle. A student (m = 68.3 kg) walks slowly from the rim of the platform

### Candidate Number. General Certificate of Education Advanced Level Examination June 2014

entre Number andidate Number Surname Other Names andidate Signature General ertificate of Education dvanced Level Examination June 214 Physics PHY4/1 Unit 4 Fields and Further Mechanics Section Wednesday

### LAB 6 - GRAVITATIONAL AND PASSIVE FORCES

L06-1 Name Date Partners LAB 6 - GRAVITATIONAL AND PASSIVE FORCES OBJECTIVES And thus Nature will be very conformable to herself and very simple, performing all the great Motions of the heavenly Bodies

### Chapter 4: Newton s Laws: Explaining Motion

Chapter 4: Newton s Laws: Explaining Motion 1. All except one of the following require the application of a net force. Which one is the exception? A. to change an object from a state of rest to a state

### 8. As a cart travels around a horizontal circular track, the cart must undergo a change in (1) velocity (3) speed (2) inertia (4) weight

1. What is the average speed of an object that travels 6.00 meters north in 2.00 seconds and then travels 3.00 meters east in 1.00 second? 9.00 m/s 3.00 m/s 0.333 m/s 4.24 m/s 2. What is the distance traveled

### Potential / Kinetic Energy Remedial Exercise

Potential / Kinetic Energy Remedial Exercise This Conceptual Physics exercise will help you in understanding the Law of Conservation of Energy, and its application to mechanical collisions. Exercise Roles:

### Chapter 6 Work and Energy

Chapter 6 WORK AND ENERGY PREVIEW Work is the scalar product of the force acting on an object and the displacement through which it acts. When work is done on or by a system, the energy of that system

### Use the following information to deduce that the gravitational field strength at the surface of the Earth is approximately 10 N kg 1.

IB PHYSICS: Gravitational Forces Review 1. This question is about gravitation and ocean tides. (b) State Newton s law of universal gravitation. Use the following information to deduce that the gravitational

### PS-6.2 Explain the factors that determine potential and kinetic energy and the transformation of one to the other.

PS-6.1 Explain how the law of conservation of energy applies to the transformation of various forms of energy (including mechanical energy, electrical energy, chemical energy, light energy, sound energy,

### So if ω 0 increases 3-fold, the stopping angle increases 3 2 = 9-fold.

Name: MULTIPLE CHOICE: Questions 1-11 are 5 points each. 1. A safety device brings the blade of a power mower from an angular speed of ω 1 to rest in 1.00 revolution. At the same constant angular acceleration,

### Linear Motion vs. Rotational Motion

Linear Motion vs. Rotational Motion Linear motion involves an object moving from one point to another in a straight line. Rotational motion involves an object rotating about an axis. Examples include a

### Physics 125 Practice Exam #3 Chapters 6-7 Professor Siegel

Physics 125 Practice Exam #3 Chapters 6-7 Professor Siegel Name: Lab Day: 1. A concrete block is pulled 7.0 m across a frictionless surface by means of a rope. The tension in the rope is 40 N; and the

### Torque and Rotary Motion

Torque and Rotary Motion Name Partner Introduction Motion in a circle is a straight-forward extension of linear motion. According to the textbook, all you have to do is replace displacement, velocity,

### 3 Work, Power and Energy

3 Work, Power and Energy At the end of this section you should be able to: a. describe potential energy as energy due to position and derive potential energy as mgh b. describe kinetic energy as energy

### Speed, velocity and acceleration

Chapter Speed, velocity and acceleration Figure.1 What determines the maximum height that a pole-vaulter can reach? 1 In this chapter we look at moving bodies, how their speeds can be measured and how

### Review Chapters 2, 3, 4, 5

Review Chapters 2, 3, 4, 5 4) The gain in speed each second for a freely-falling object is about A) 0. B) 5 m/s. C) 10 m/s. D) 20 m/s. E) depends on the initial speed 9) Whirl a rock at the end of a string

### Name: Partners: Period: Coaster Option: 1. In the space below, make a sketch of your roller coaster.

1. In the space below, make a sketch of your roller coaster. 2. On your sketch, label different areas of acceleration. Put a next to an area of negative acceleration, a + next to an area of positive acceleration,

### Newton s Law of Universal Gravitation

Newton s Law of Universal Gravitation The greatest moments in science are when two phenomena that were considered completely separate suddenly are seen as just two different versions of the same thing.

### Conceptual Questions: Forces and Newton s Laws

Conceptual Questions: Forces and Newton s Laws 1. An object can have motion only if a net force acts on it. his statement is a. true b. false 2. And the reason for this (refer to previous question) is

### Freely Falling Objects

Freely Falling Objects Physics 1425 Lecture 3 Michael Fowler, UVa. Today s Topics In the previous lecture, we analyzed onedimensional motion, defining displacement, velocity, and acceleration and finding

### Balanced & Unbalanced Forces

3 rd Grade Force in Motion An object's motion changes because of force. Pushing and Pulling are Kinds of Forces Motion is movement that changes an object's position. Pushing or pulling forces can be used

### 1. Large ships are often helped into port by using two tug boats one either side of the ship. April 5, 1989 (Anchorage Daily News / Erik Hill)

1. Velocity and displacement vectors and scalars Vector and scalar quantities: force, speed, velocity, distance, displacement, acceleration, mass, time and energy. Calculation of the resultant of two vector

### SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) A person on a sled coasts down a hill and then goes over a slight rise with speed 2.7 m/s.

### Physics: Principles and Applications, 6e Giancoli Chapter 2 Describing Motion: Kinematics in One Dimension

Physics: Principles and Applications, 6e Giancoli Chapter 2 Describing Motion: Kinematics in One Dimension Conceptual Questions 1) Suppose that an object travels from one point in space to another. Make

### Physics 1401 - Exam 2 Chapter 5N-New

Physics 1401 - Exam 2 Chapter 5N-New 2. The second hand on a watch has a length of 4.50 mm and makes one revolution in 60.00 s. What is the speed of the end of the second hand as it moves in uniform circular

### Physics 121 Homework Problems, Spring 2014

Physics 121 Homework Problems, Spring 2014 1-1. Write out your solution to all parts of this problem neatly on a piece of 8.5 11-inch paper and turn it in at the slotted boxes across the hallway from N373

### Sample Questions for the AP Physics 1 Exam

Sample Questions for the AP Physics 1 Exam Sample Questions for the AP Physics 1 Exam Multiple-choice Questions Note: To simplify calculations, you may use g 5 10 m/s 2 in all problems. Directions: Each

### 1. Mass, Force and Gravity

STE Physics Intro Name 1. Mass, Force and Gravity Before attempting to understand force, we need to look at mass and acceleration. a) What does mass measure? The quantity of matter(atoms) b) What is the