V sphere = 4 3 πr3. a c = v2. F c = m v2. F s = k s. F ds. = dw dt. P W t. K linear 1 2 mv2. U s = 1 2 kx2 E = K + U. p mv

Size: px
Start display at page:

Download "V sphere = 4 3 πr3. a c = v2. F c = m v2. F s = k s. F ds. = dw dt. P W t. K linear 1 2 mv2. U s = 1 2 kx2 E = K + U. p mv"

Transcription

1 v = v i + at x = x i + v i t at2 v 2 = v 2 i + 2a x F = ma F = dp dt P = mv R = v2 sin(2θ) g v dx dt a dv dt = d2 x dt 2 x = r cos(θ) V sphere = 4 3 πr3 a c = v2 r = rω2 F f = µf n F c = m v2 r = mrω2 F f = µf n F s = k s W P W t sf s i F ds = dw dt K linear 1 2 mv2 J t2 t 1 F dt = p ( ) ( ) m1 m 2 2m2 v 1f = v 1i + v 2i m 1 + m 2 m 1 + m 2 ( ) 2m1 v 2f = v 1i + m 1 + m 2 F g = G m 1m 2 r 2 g = F g m = G m r 2 U g = G m 1m 2 r v esc = 2GM r d 2 x dt 2 = ẍ = ω2 x ( m2 m 1 m 1 + m 2 ) v 2i y = r sin(θ) U g = mgh x(t) = A cos(ωt + φ) r = x 2 + y 2 tan(θ) = y x A circle = πr 2 A sphere = 4πr 2 U s = 1 2 kx2 E = K + U p mv p i = p f ω = 2πf = 2π T k ω spring = m L T = 2π g Constant Symbol Approximate Value Gravitational Constant G Nm 2 /kg 2 Acceleration of Gravity (near Earth) g 9.80 m/s 2 Speed of light in vacuum c m/s Mass of Earth M E kg Radius of Earth s Orbit R E m Mass of Moon M M kg Radius of Moon s Orbit R M m 1

2 2

3 Name: Score: / Physics 204A Exam 2 3/14/14 Albert Einstein s birthday! Short-answer problems: Do any seven problems and clearly mark the one you wish to omit by drawing a diagonal line through the answer space. Show your work for complete credit. Six points each unless otherwise indicated, and the bonus question does not count as one of the seven. 1. Two frictionless blocks are attached by a crudely-drawn spring, as shown below. The blocks M1 M2 have masses m 1 and m 2 ; the spring has spring constant k. The blocks are pulled apart so that the spring is stretched a distance x o, and are then simultaneously released. What is the speed of each block just before they hit? 2. Bonus Question: 2 points: If m 1 were much larger than m 2, what would you expect to happen in problem 1? Does your answer to problem 1 support this? Explain. 3

4 3. On planet Frenobulax, it takes seconds for a small dense object to fall 2.00 meters from rest. Bubba s pendulum clock works perfectly on Earth, but last time he (and his clock) were abducted by aliens and taken to Frenobulax he observed that the clock did not keep time correctly there. By what percentage was the clock off on Frenobulax? 4. Find the center of mass of the Earth-Moon system, relative to the center of the Earth. 4

5 5. A Nerf TM dart gun is cocked by pulling back against a spring a distance d = 15 cm. The spring has a force constant k = 28 N/m. What is the maximum speed a 2-gram Nerf TM dart could possibly reach on exiting this gun projectile launcher? 6. A Tyrannasaurus Rex had an estimated mass of about 6000 kg and estimated running speed of 8 m/s. The GAU-8 cannon mounted in an A-10 aircraft fires a bullet with mass 395 grams at a speed of 1070 m/s. Compare the momentum and the kinetic energy of the bullet and the T. Rex. 7. So... If a T. Rex charges at you, and you shoot it with an A-10, by how much will the T. Rex slow down? (See problem 6 for numbers.) Assume the T. Rex completely stops the bullet. 5

6 k 8. A mass/spring system moves with the equation x(t) = A cos(ωt), where ω = m. Show that the total mechanical energy of this system (U s + K) is constant. 9. Essay question: One of the early objections to the idea of rocket-powered space travel was that in space there was no atmosphere so there would be nothing for the rocket exhaust to push against; therefore rockets wouldn t work in space. Explain why this is not actually a problem. 6

7 Physics 204A Key Exam 2 3/14/14 Albert Einstein s birthday! Short-answer problems: Do any seven problems and clearly mark the one you wish to omit by drawing a diagonal line through the answer space. Show your work for complete credit. Six points each unless otherwise indicated, and the bonus question does not count as one of the seven. 1. Answer: There are no external or non-conservative forces in this problem, so both mechanical energy and momentum are conserved. E i = E f = 1 2 kx2 = 1 2 m 2v m 2v 2 2 From the momentum equaton, we obtain p i = p f = 0 = m 1 v 1 + m 2 v 2 v 2 = m 1 m 2 v 1 We then substitute this into the energy equation: kx 2 = m 1 v m 2 ( m 1 = v 2 1 ( m 1 + m2 1 m 2 = v 2 1m 1 ( 1 + m 1 m 2 v1 2 m 2 ) ) v 1 = m 2 kx 2 m 1 (m 1 + m 2 ) v 2 = m 1 kx 2 m 2 (m 1 + m 2 ) 2. Answer: If m 1 m 2 then we would expect that m 1 would not move and m 2 would gain all of the availble spring energy. From our previous answer, we see that for m 1 m 2, kx v 1 0 and v 2 2 m 2 as would be expected if 1 2 kx2 = 1 2 mv Answer: From kinematics equations, we can determine that the value of gravitational acceleration on Frenobulax is g = 2y t 2 = 7.89 Since the period of a pendulum is proportional to 1 g, we can know that the period of the pendulum on Frenobulax is changed by a factor of g = g = 1.11 The period is 11% larger, so the clock runs 11% slow. ) 2 1

8 4. Answer: r cm = 1 (M E r 0 E + M M r M ) M M + M E = m 5. Answer: Use conservation of energy: 1 2 kx2 = 1 2 mv2 k v = x = 17.7 m/s m 6. Answer: T. Rex: p = mv = 48, 000 kg m/s K = 1 2 mv2 = 192, 000 J bullet: p = 422 kg m/s K = 226, 000 J The T. Rex has a lot more momentum, but the bullet has more energy. 7. Answer: Conservation of momentum: if the dinosaur stops the bullet, its momentum decreases by the momentum of the bullet. So its new momentum would be (48, ) kg m/s less than 1% change and its new speed would be lower by the same percentage: v = p = 7.93 m/s m A change of about 7 cm/s. The T. Rex may be dead, but it will still be moving towards you at nearly the same speed. 8. Answer: Find the total of the spring potential energy and the kinetic energy. U s = 1 2 kx2 = A2 2 k cos2 (ωt) K = 1 2 mv2 = 1 2 m ( dx dt ) 2 = A2 2 ω2 m sin 2 (ωt) = A2 2 k sin2 (ωt) K + U s = 1 2 ka2 ( sin 2 (ωt) + cos 2 (ωt) ) = 1 2 ka2 That energy is, of course, the maximum value of U s. 2

9 9. Answer: Rockets generate thrust not by pushing against the atmosphere, but by pushing against the rocket exhaust. Newton s third law states that for every action there is an equal and opposite reaction: The action in this case is the force necessary to accelerate the exhaust particles to high velocity out the back of the rocket, and the reaction is the third-law force of the exhaust particles pushing back on the rocket. It s that reaction force that propels the rocket, and none of this explanation has anything at all to do with atmosphere! 3

dt 2 x = r cos(θ) y = r sin(θ) r = x 2 + y 2 tan(θ) = y x A circle = πr 2

dt 2 x = r cos(θ) y = r sin(θ) r = x 2 + y 2 tan(θ) = y x A circle = πr 2 v = v i + at a dv dt = d2 x dt 2 A sphere = 4πr 2 x = x i + v i t + 1 2 at2 x = r cos(θ) V sphere = 4 3 πr3 v 2 = v 2 i + 2a x F = ma R = v2 sin(2θ) g y = r sin(θ) r = x 2 + y 2 tan(θ) = y x a c = v2 r

More information

E = K + U. p mv. p i = p f. F dt = p. J t 1. a r = v2. F c = m v2. s = rθ. a t = rα. r 2 dm i. m i r 2 i. I ring = MR 2.

E = K + U. p mv. p i = p f. F dt = p. J t 1. a r = v2. F c = m v2. s = rθ. a t = rα. r 2 dm i. m i r 2 i. I ring = MR 2. v = v i + at x = x i + v i t + 1 2 at2 E = K + U p mv p i = p f L r p = Iω τ r F = rf sin θ v 2 = v 2 i + 2a x F = ma = dp dt = U v dx dt a dv dt = d2 x dt 2 A circle = πr 2 A sphere = 4πr 2 V sphere =

More information

Practice Problems for Exam 2 Solutions

Practice Problems for Exam 2 Solutions MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Fall Term 008 Practice Problems for Exam Solutions Part I Concept Questions: Circle your answer. 1) A spring-loaded toy dart gun

More information

d 2 x dt 2 = ω2 x x(t) = A cos(ωt + φ) k m ω spring = E SHO = 1 2 ka2 L g T = 2π F g = G m 1m 2 r 2 g = F g m = G m r 2

d 2 x dt 2 = ω2 x x(t) = A cos(ωt + φ) k m ω spring = E SHO = 1 2 ka2 L g T = 2π F g = G m 1m 2 r 2 g = F g m = G m r 2 F s = k s I ring = MR 2 I disk = 1 2 MR2 I sphere = 2 5 MR2 d 2 x dt 2 = ω2 x x(t) = A cos(ωt + φ) ω = 2πf = 2π T U g = G m 1m 2 r ( 4π T 2 2 = GM ) r I rod,cm = 1 12 ML2 I rod,end = 1 ML2 I = I CM + MR

More information

F s = k s. W s i. F ds. P W = dw t dt. K linear 1 2 mv2. U g = mgh. U s = 1 2 k s2. p mv

F s = k s. W s i. F ds. P W = dw t dt. K linear 1 2 mv2. U g = mgh. U s = 1 2 k s2. p mv v = v i + at F f = µf n p i = p f x = x i + v i t + 1 2 at2 v 2 = v 2 i + 2a x F = ma = dp dt = U x = r cos(θ) y = r sin(θ) r = x 2 + y 2 tan(θ) = y x F s = k s W sf s i F ds P W = dw t dt K linear 1 2

More information

dt 2 x = r cos(θ) y = r sin(θ) r = x 2 + y 2 tan(θ) = y x A circle = πr 2

dt 2 x = r cos(θ) y = r sin(θ) r = x 2 + y 2 tan(θ) = y x A circle = πr 2 v = v i + at a dv dt = d2 x dt 2 A sphere = 4πr 2 x = x i + v i t + 1 2 at2 x = r cos(θ) V sphere = 4 3 πr3 v 2 = v 2 i + 2a x F = ma R = v2 sin(2θ) g y = r sin(θ) r = x 2 + y 2 tan(θ) = y x a c = v2 r

More information

Distance travelled time taken and if the particle is a distance s(t) along the x-axis, then its instantaneous speed is:

Distance travelled time taken and if the particle is a distance s(t) along the x-axis, then its instantaneous speed is: Chapter 1 Kinematics 1.1 Basic ideas r(t) is the position of a particle; r = r is the distance to the origin. If r = x i + y j + z k = (x, y, z), then r = r = x 2 + y 2 + z 2. v(t) is the velocity; v =

More information

PSI AP Physics I Work and Energy

PSI AP Physics I Work and Energy PSI AP Physics I Work and Energy Multiple-Choice questions 1. A driver in a 2000 kg Porsche wishes to pass a slow moving school bus on a 4 lane road. What is the average power in watts required to accelerate

More information

PHY 141 Midterm 1 Oct 2, 2014 Version A

PHY 141 Midterm 1 Oct 2, 2014 Version A PHY 141 Midterm 1 Oct 2, 2014 Version A Put FULL NAME, ID#, and EXAM VERSION on the front cover of the BLUE BOOKLET! To avoid problems in grading: do all problems in order, write legibly, and show all

More information

Honor Physics Final Exam Review. What is the difference between series, parallel, and combination circuits?

Honor Physics Final Exam Review. What is the difference between series, parallel, and combination circuits? Name Period Date Honor Physics Final Exam Review Circuits You should be able to: Calculate the total (net) resistance of a circuit. Calculate current in individual resistors and the total circuit current.

More information

Static Equilibrium, Gravitation, Periodic Motion

Static Equilibrium, Gravitation, Periodic Motion This test covers static equilibrium, universal gravitation, and simple harmonic motion, with some problems requiring a knowledge of basic calculus. Part I. Multiple Choice 1. 60 A B 10 kg A mass of 10

More information

Gravitation & Kepler s Laws

Gravitation & Kepler s Laws Gravitation & Kepler s Laws What causes YOU to be pulled down to the surface of the earth? THE EARTH.or more specifically the EARTH S MASS. Anything that has MASS has a gravitational pull towards it. F

More information

Gravity and Orbits. Objectives. Clarify a number of basic concepts. Gravity

Gravity and Orbits. Objectives. Clarify a number of basic concepts. Gravity Gravity and Orbits Objectives Clarify a number of basic concepts Speed vs. velocity Acceleration, and its relation to force Momentum and angular momentum Gravity Understand its basic workings Understand

More information

2 possibilities. 2.) Work is done and... 1.) Work is done and... *** The function of work is to change energy ***

2 possibilities. 2.) Work is done and... 1.) Work is done and... *** The function of work is to change energy *** Work-Energy Theorem and Energy Conservation *** The function of work is to change energy *** 2 possibilities 1.) Work is done and... or 2.) Work is done and... 1 EX: A 100 N box is 10 m above the ground

More information

Energy in Planetary Orbits

Energy in Planetary Orbits Lecture 19: Energy in Orbits, Bohr Atom, Oscillatory Motion 1 Energy in Planetary Orbits Consequences of Kepler s First and Third Laws According to Kepler s First Law of Planetary Motion, all planets move

More information

a. What is the angular frequency ω of the block in terms of k, l, and m?

a. What is the angular frequency ω of the block in terms of k, l, and m? 1 Problem 1: (4 pts.) Two spherical planets, each of mass M and Radius R, start out at rest with a distance from center to center of 4R. What is the speed of one of the planets at the moment that their

More information

( ) ( ) A i ˆj. What is the unit vector  that points in the direction of A? 1) The vector A is given by = ( 6.0m ) ˆ ( 8.0m ) Solution A D) 6 E) 6

( ) ( ) A i ˆj. What is the unit vector  that points in the direction of A? 1) The vector A is given by = ( 6.0m ) ˆ ( 8.0m ) Solution A D) 6 E) 6 A i ˆj. What is the unit vector  that points in the direction of A? 1) The vector A is given b ( 6.m ) ˆ ( 8.m ) A ˆ i ˆ ˆ j A ˆ i ˆ ˆ j C) A ˆ ( 1 ) ( i ˆ ˆ j) D) Aˆ.6 iˆ+.8 ˆj E) Aˆ.6 iˆ.8 ˆj A) (.6m

More information

Force, Energy & Periodic Motion. Preparation for unit test

Force, Energy & Periodic Motion. Preparation for unit test Force, Energy & Periodic Motion Preparation for unit test Summary of assessment standards (Unit assessment standard only) In the unit test you can expect to be asked at least one question on each sub-skill.

More information

W = F x W = Fx cosθ W = Fx. Work

W = F x W = Fx cosθ W = Fx. Work Ch 7 Energy & Work Work Work is a quantity that is useful in describing how objects interact with other objects. Work done by an agent exerting a constant force on an object is the product of the component

More information

Exam 2. May 21, 2008, 8:00am

Exam 2. May 21, 2008, 8:00am PHYSICS 101: Fundamentals of Physics Exam 2 Exam 2 Name TA/ Section # May 21, 2008, 8:00am Recitation Time You have 1 hour to complete the exam. Please answer all questions clearly and completely, and

More information

Physics Final Exam Formulas

Physics Final Exam Formulas INSTRUCTIONS: Write your NAME on the front of the blue exam booklet. The exam is closed book, and you may have only pens/pencils and a calculator (no stored equations or programs and no graphing). Show

More information

Physics 110. Exam #1. April 15, 2013

Physics 110. Exam #1. April 15, 2013 Physics 110 Exam #1 April 15, 013 Name Please read and follow these instructions carefully: Read all problems carefully before attempting to solve them Your work must be legible, and the organization clear

More information

Review. Kinetic Energy Work Hooke s s Law Potential Energy Conservation of Energy Power 1/91

Review. Kinetic Energy Work Hooke s s Law Potential Energy Conservation of Energy Power 1/91 Review Kinetic Energy Work Hooke s s Law Potential Energy Conservation of Energy Power 1/91 The unit of work is the A. Newton B. Watt C. Joule D. Meter E. Second 2/91 The unit of work is the A. Newton

More information

LECTURE 13- PROBLEMS. Chapter 1-9,13 Professor Noronha-Hostler Professor Montalvo

LECTURE 13- PROBLEMS. Chapter 1-9,13 Professor Noronha-Hostler Professor Montalvo LECTURE 13- PROBLEMS Chapter 1-9,13 Professor Noronha-Hostler Professor Montalvo FARADAY LECTURES! Physics Lecture Hall Friday Dec. 7 Demos: 6pm Show: 7-8:30pm Saturday Dec. 8 Demos: 2pm Show: 3-4:30pm

More information

A B = AB cos θ = 100. = 6t. a(t) = d2 r(t) a(t = 2) = 12 ĵ

A B = AB cos θ = 100. = 6t. a(t) = d2 r(t) a(t = 2) = 12 ĵ 1. A ball is thrown vertically upward from the Earth s surface and falls back to Earth. Which of the graphs below best symbolizes its speed v(t) as a function of time, neglecting air resistance: The answer

More information

. d. v A v B. e. none of these.

. d. v A v B. e. none of these. General Physics I Exam 3 - Chs. 7,8,9 - Momentum, Rotation, Equilibrium Oct. 28, 2009 Name Rec. Instr. Rec. Time For full credit, make your work clear to the grader. Show the formulas you use, the essential

More information

Chapter 12. Recall that when a spring is stretched a distance x, it will pull back with a force given by: F = -kx

Chapter 12. Recall that when a spring is stretched a distance x, it will pull back with a force given by: F = -kx Chapter 1 Lecture Notes Chapter 1 Oscillatory Motion Recall that when a spring is stretched a distance x, it will pull back with a force given by: F = -kx When the mass is released, the spring will pull

More information

Apr 14, Calculus with Algebra and Trigonometry II Lecture 20More physics Aprapplications

Apr 14, Calculus with Algebra and Trigonometry II Lecture 20More physics Aprapplications Calculus with Algebra and Trigonometry II Lecture 20 More physics applications Apr 14, 2015 14, 2015 1 / 14 Motion in two dimensions A particle s motion can be described by specifying how the coordinates

More information

Department of Physics

Department of Physics Department of Physics PHYS101-051 FINAL EXAM Test Code: 100 Tuesday, 4 January 006 in Building 54 Exam Duration: 3 hrs (from 1:30pm to 3:30pm) Name: Student Number: Section Number: Page 1 1. A car starts

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. PH 105 Exam 2 VERSION A Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Is it possible for a system to have negative potential energy? A)

More information

Physics 201, Midterm Exam 2, Fall Answer Key

Physics 201, Midterm Exam 2, Fall Answer Key Physics 201, Midterm Exam 2, Fall 2006 Answer Key 1) A constant force is applied to a body that is already moving. The force is directed at an angle of 60 degrees to the direction of the body s velocity.

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. PH 105 Exam 2 VERSION B Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A boy throws a rock with an initial velocity of 2.15 m/s at 30.0 above

More information

ω = k/m x = A cos (ωt + ϕ 0 ) L = I ω a x = ω 2 x P = F v P = de sys J = F dt = p w = m g F G = Gm 1m 2 D = 1 2 CρAv2 a r = v2

ω = k/m x = A cos (ωt + ϕ 0 ) L = I ω a x = ω 2 x P = F v P = de sys J = F dt = p w = m g F G = Gm 1m 2 D = 1 2 CρAv2 a r = v2 PHYS 2211 A, B, & C Final Exam Formulæ & Constants Spring 2017 Unless otherwise directed, drag is to be neglected and all problems take place on Earth, use the gravitational definition of weight, and all

More information

Motion. Argument: (i) Forces are needed to keep things moving, because they stop when the forces are taken away (evidence horse pulling a carriage).

Motion. Argument: (i) Forces are needed to keep things moving, because they stop when the forces are taken away (evidence horse pulling a carriage). 1 Motion Aristotle s Study Aristotle s Law of Motion This law of motion was based on false assumptions. He believed that an object moved only if something was pushing it. His arguments were based on everyday

More information

Physics H7A, Fall 2011 Homework 6 Solutions

Physics H7A, Fall 2011 Homework 6 Solutions Physics H7A, Fall 2011 Homework 6 Solutions 1. (Hooke s law) (a) What are the dimensions (in terms of M, L, and T ) of the spring constant k in Hooke s law? (b) If it takes 4.00 J of work to stretch a

More information

Oscillations. Oscillations and Simple Harmonic Motion

Oscillations. Oscillations and Simple Harmonic Motion Oscillations AP Physics C Oscillations and Simple Harmonic Motion 1 Equilibrium and Oscillations A marble that is free to roll inside a spherical bowl has an equilibrium position at the bottom of the bowl

More information

Physics I (Navitas) FINAL EXAM Fall 2015

Physics I (Navitas) FINAL EXAM Fall 2015 95.141 Physics I (Navitas) FINAL EXAM Fall 2015 Name, Last Name First Name Student Identification Number: Write your name at the top of each page in the space provided. Answer all questions, beginning

More information

AP Physics C Mechanics

AP Physics C Mechanics 1 AP Physics C Mechanics Simple Harmonic Motion 2015 12 05 www.njctl.org 2 Table of Contents Click on the topic to go to that section Spring and a Block Energy of SHM SHM and UCM Simple and Physical Pendulums

More information

Physics Exam 1 Formulas

Physics Exam 1 Formulas INSTRUCTIONS: Write your NAME on the front of the blue exam booklet. The exam is closed book, and you may have only pens/pencils and a calculator (no stored equations or programs and no graphing). Show

More information

Exam Question 6/8 (HL/OL): Circular and Simple Harmonic Motion. February 1, Applied Mathematics: Lecture 7. Brendan Williamson.

Exam Question 6/8 (HL/OL): Circular and Simple Harmonic Motion. February 1, Applied Mathematics: Lecture 7. Brendan Williamson. in a : Exam Question 6/8 (HL/OL): Circular and February 1, 2017 in a This lecture pertains to material relevant to question 6 of the paper, and question 8 of the Ordinary Level paper, commonly referred

More information

Slide 1 / 70. Simple Harmonic Motion

Slide 1 / 70. Simple Harmonic Motion Slide 1 / 70 Simple Harmonic Motion Slide 2 / 70 SHM and Circular Motion There is a deep connection between Simple Harmonic Motion (SHM) and Uniform Circular Motion (UCM). Simple Harmonic Motion can be

More information

PHYSICS 221, FALL 2010 EXAM #1 Solutions WEDNESDAY, SEPTEMBER 29, 2010

PHYSICS 221, FALL 2010 EXAM #1 Solutions WEDNESDAY, SEPTEMBER 29, 2010 PHYSICS 1, FALL 010 EXAM 1 Solutions WEDNESDAY, SEPTEMBER 9, 010 Note: The unit vectors in the +x, +y, and +z directions of a right-handed Cartesian coordinate system are î, ĵ, and ˆk, respectively. In

More information

Exam 2--PHYS 101--Fall 2014

Exam 2--PHYS 101--Fall 2014 Class: Date: Exam 2--PHYS 101--Fall 2014 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Consider these vectors. What is A-B? a. a c. c b. b d. d 2. Consider

More information

Energy Problem Solving Techniques.

Energy Problem Solving Techniques. 1 Energy Problem Solving Techniques www.njctl.org 2 Table of Contents Introduction Gravitational Potential Energy Problem Solving GPE, KE and EPE Problem Solving Conservation of Energy Problem Solving

More information

PSI AP Physics B Dynamics

PSI AP Physics B Dynamics PSI AP Physics B Dynamics Multiple-Choice questions 1. After firing a cannon ball, the cannon moves in the opposite direction from the ball. This an example of: A. Newton s First Law B. Newton s Second

More information

Chapter 5 Gravitation Chapter 6 Work and Energy

Chapter 5 Gravitation Chapter 6 Work and Energy Chapter 5 Gravitation Chapter 6 Work and Energy Chapter 5 (5.6) Newton s Law of Universal Gravitation (5.7) Gravity Near the Earth s Surface Chapter 6 (today) Work Done by a Constant Force Kinetic Energy,

More information

Physics 101 Discussion Week 12 Explanation (2011)

Physics 101 Discussion Week 12 Explanation (2011) Physics 101 Discussion Week 12 Eplanation (2011) D12-1 Horizontal oscillation Q0. This is obviously about a harmonic oscillator. Can you write down Newton s second law in the (horizontal) direction? Let

More information

Oscillations. PHYS 101 Previous Exam Problems CHAPTER. Simple harmonic motion Mass-spring system Energy in SHM Pendulums

Oscillations. PHYS 101 Previous Exam Problems CHAPTER. Simple harmonic motion Mass-spring system Energy in SHM Pendulums PHYS 101 Previous Exam Problems CHAPTER 15 Oscillations Simple harmonic motion Mass-spring system Energy in SHM Pendulums 1. The displacement of a particle oscillating along the x axis is given as a function

More information

Physics 231. Topic 7: Oscillations. Alex Brown October MSU Physics 231 Fall

Physics 231. Topic 7: Oscillations. Alex Brown October MSU Physics 231 Fall Physics 231 Topic 7: Oscillations Alex Brown October 14-19 2015 MSU Physics 231 Fall 2015 1 Key Concepts: Springs and Oscillations Springs Periodic Motion Frequency & Period Simple Harmonic Motion (SHM)

More information

The graph shows how an external force applied to an object of mass 2.0 kg varies with time. The object is initially at rest.

The graph shows how an external force applied to an object of mass 2.0 kg varies with time. The object is initially at rest. T2-2 [195 marks] 1. The graph shows how an external force applied to an object of mass 2.0 kg varies with time. The object is initially at rest. What is the speed of the object after 0.60 s? A. 7.0 ms

More information

1 of 6 10/21/2009 6:33 PM

1 of 6 10/21/2009 6:33 PM 1 of 6 10/21/2009 6:33 PM Chapter 10 Homework Due: 9:00am on Thursday, October 22, 2009 Note: To understand how points are awarded, read your instructor's Grading Policy. [Return to Standard Assignment

More information

Afternoon Section. Physics 1210 Exam 2 November 8, ! v = d! r dt. a avg. = v2. ) T 2! w = m g! f s. = v at v 2 1.

Afternoon Section. Physics 1210 Exam 2 November 8, ! v = d! r dt. a avg. = v2. ) T 2! w = m g! f s. = v at v 2 1. Name Physics 1210 Exam 2 November 8, 2012 Afternoon Section Please write directly on the exam and attach other sheets of work if necessary. Calculators are allowed. No notes or books may be used. Multiple-choice

More information

Physics 2414 Group Exercise 8. Conservation of Energy

Physics 2414 Group Exercise 8. Conservation of Energy Physics 244 Group Exercise 8 Name : OUID : Name 2: OUID 2: Name 3: OUID 3: Name 4: OUID 4: Section Number: Solutions Solutions Conservation of Energy A mass m moves from point i to point f under the action

More information

1. A train moves at a constant velocity of 90 km/h. How far will it move in 0.25 h? A. 10 km B km C. 25 km D. 45 km E. 50 km

1. A train moves at a constant velocity of 90 km/h. How far will it move in 0.25 h? A. 10 km B km C. 25 km D. 45 km E. 50 km Name: Physics I Mid Term Exam Review Multiple Choice Questions Date: Mr. Tiesler 1. A train moves at a constant velocity of 90 km/h. How far will it move in 0.25 h? A. 10 km B. 22.5 km C. 25 km D. 45 km

More information

Slide 1 / 76. Work & Energy Multiple Choice Problems

Slide 1 / 76. Work & Energy Multiple Choice Problems Slide 1 / 76 Work & Energy Multiple Choice Problems Slide 2 / 76 1 A driver in a 2000 kg Porsche wishes to pass a slow moving school bus on a 4 lane road. What is the average power in watts required to

More information

Mass on a Horizontal Spring

Mass on a Horizontal Spring Course- B.Sc. Applied Physical Science (Computer Science) Year- IInd, Sem- IVth Subject Physics Paper- XIVth, Electromagnetic Theory Lecture No. 22, Simple Harmonic Motion Introduction Hello friends in

More information

AP Physics C - Mechanics

AP Physics C - Mechanics Slide 1 / 84 Slide 2 / 84 P Physics C - Mechanics Energy Problem Solving Techniques 2015-12-03 www.njctl.org Table of Contents Slide 3 / 84 Introduction Gravitational Potential Energy Problem Solving GPE,

More information

Physics 2211 M Quiz #2 Solutions Summer 2017

Physics 2211 M Quiz #2 Solutions Summer 2017 Physics 2211 M Quiz #2 Solutions Summer 2017 I. (16 points) A block with mass m = 10.0 kg is on a plane inclined θ = 30.0 to the horizontal, as shown. A balloon is attached to the block to exert a constant

More information

Physics 8, Fall 2011, Homework #12. Due in 1W12 DRL by 5pm, Friday, December 9, 2011

Physics 8, Fall 2011, Homework #12. Due in 1W12 DRL by 5pm, Friday, December 9, 2011 Physics 8, Fall 2011, Homework #12. Due in 1W12 DRL by 5pm, Friday, December 9, 2011 I encourage you to discuss physics topics with your classmates, but you should complete all of these problems on your

More information

Chapter 14. Oscillations. Oscillations Introductory Terminology Simple Harmonic Motion:

Chapter 14. Oscillations. Oscillations Introductory Terminology Simple Harmonic Motion: Chapter 14 Oscillations Oscillations Introductory Terminology Simple Harmonic Motion: Kinematics Energy Examples of Simple Harmonic Oscillators Damped and Forced Oscillations. Resonance. Periodic Motion

More information

Final Exam. June 10, 2008, 1:00pm

Final Exam. June 10, 2008, 1:00pm PHYSICS 101: Fundamentals of Physics Final Exam Final Exam Name TA/ Section # June 10, 2008, 1:00pm Recitation Time You have 2 hour to complete the exam. Please answer all questions clearly and completely,

More information

Physics 2211 ABC Quiz #3 Solutions Spring 2017

Physics 2211 ABC Quiz #3 Solutions Spring 2017 Physics 2211 ABC Quiz #3 Solutions Spring 2017 I. (16 points) A block of mass m b is suspended vertically on a ideal cord that then passes through a frictionless hole and is attached to a sphere of mass

More information

AP Physics Multiple Choice Practice Gravitation

AP Physics Multiple Choice Practice Gravitation AP Physics Multiple Choice Practice Gravitation 1. Each of five satellites makes a circular orbit about an object that is much more massive than any of the satellites. The mass and orbital radius of each

More information

AP Physics 1. April 11, Simple Harmonic Motion. Table of Contents. Period. SHM and Circular Motion

AP Physics 1. April 11, Simple Harmonic Motion. Table of Contents. Period. SHM and Circular Motion AP Physics 1 2016-07-20 www.njctl.org Table of Contents Click on the topic to go to that section Period and Frequency SHM and UCM Spring Pendulum Simple Pendulum Sinusoidal Nature of SHM Period and Frequency

More information

Exam #2, Chapters 5-7 PHYS 101-4M MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Exam #2, Chapters 5-7 PHYS 101-4M MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Exam #2, Chapters 5-7 Name PHYS 101-4M MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) The quantity 1/2 mv2 is A) the potential energy of the object.

More information

PHY2053 General Physics I

PHY2053 General Physics I PHY2053 General Physics I Section 584771 Prof. Douglas H. Laurence Final Exam May 3, 2018 Name: 1 Instructions: This final exam is a take home exam. It will be posted online sometime around noon of the

More information

Lab 10: Harmonic Motion and the Pendulum

Lab 10: Harmonic Motion and the Pendulum Lab 10 Harmonic Motion and the Pendulum 119 Name Date Partners Lab 10: Harmonic Motion and the Pendulum OVERVIEW A body is said to be in a position of stable equilibrium if, after displacement in any direction,

More information

PHYSICS 1 Simple Harmonic Motion

PHYSICS 1 Simple Harmonic Motion Advanced Placement PHYSICS 1 Simple Harmonic Motion Student 014-015 What I Absolutely Have to Know to Survive the AP* Exam Whenever the acceleration of an object is proportional to its displacement and

More information

Mechanics Oscillations Simple Harmonic Motion

Mechanics Oscillations Simple Harmonic Motion Mechanics Oscillations Simple Harmonic Motion Lana Sheridan De Anza College Dec 3, 2018 Last time gravity Newton s universal law of gravitation gravitational field gravitational potential energy Overview

More information

FOUNDATION STUDIES EXAMINATIONS June PHYSICS Semester One February Main

FOUNDATION STUDIES EXAMINATIONS June PHYSICS Semester One February Main 1 FOUNDATION STUDIES EXAMINATIONS June 2013 PHYSICS Semester One February Main Time allowed 2 hours for writing 10 minutes for reading This paper consists of 4 questions printed on 10 pages. PLEASE CHECK

More information

4.) A baseball that weighs 1.6 N leaves a bat with a speed of 40.0 m/s. Calculate the kinetic energy of the ball. 130 J

4.) A baseball that weighs 1.6 N leaves a bat with a speed of 40.0 m/s. Calculate the kinetic energy of the ball. 130 J AP Physics-B Energy And Its Conservation Introduction: Energy is a term that most of us take for granted and use quite freely. We assume we know what we are talking about when speaking of energy. In truth,

More information

Physics 2101 S c e t c i cti n o 3 n 3 March 31st Announcements: Quiz today about Ch. 14 Class Website:

Physics 2101 S c e t c i cti n o 3 n 3 March 31st Announcements: Quiz today about Ch. 14 Class Website: Physics 2101 Section 3 March 31 st Announcements: Quiz today about Ch. 14 Class Website: http://www.phys.lsu.edu/classes/spring2010/phys2101 3/ http://www.phys.lsu.edu/~jzhang/teaching.html Simple Harmonic

More information

FOUNDATION STUDIES EXAMINATIONS June PHYSICS Semester One February Main

FOUNDATION STUDIES EXAMINATIONS June PHYSICS Semester One February Main 1 FOUNDATION STUDIES EXAMINATIONS June 2015 PHYSICS Semester One February Main Time allowed 2 hours for writing 10 minutes for reading This paper consists of 6 questions printed on 10 pages. PLEASE CHECK

More information

Conservation of Momentum

Conservation of Momentum Conservation of Momentum Newton: Quantity of Motion Forces applied for a period of time change an object s quantity of motion. F = ma F = m Δ v t F t = mδv = mv f mv i p mv Ft = Δp F = dp dt Conservation?

More information

Chapter 4. Forces and Newton s Laws of Motion

Chapter 4. Forces and Newton s Laws of Motion Chapter 4 Forces and Newton s Laws of Motion Exam 1 Scores Mean score was ~ 9.5 What is that in a grade 4.0, 3.5,? < 5 : 1.5 or lower 5 : 2.0 6, 7 : 2.5 8,9,10,11: 3.0 12,13 : 3.5 >13 : 4.0 Solutions are

More information

Science Unit Test Grade: 8 Unit 6: Gravity

Science Unit Test Grade: 8 Unit 6: Gravity Science Unit Test Grade: 8 Unit 6: Gravity Name Date 1. Which of these is best used to measure weight in newtons? a. Spring scale b. Triple beam balance c. Double pan balance d. Simple lever 2. Which of

More information

Chapter 15 Oscillations

Chapter 15 Oscillations Chapter 15 Oscillations Summary Simple harmonic motion Hook s Law Energy F = kx Pendulums: Simple. Physical, Meter stick Simple Picture of an Oscillation x Frictionless surface F = -kx x SHM in vertical

More information

FINAL EXAM -- REVIEW PROBLEMS

FINAL EXAM -- REVIEW PROBLEMS Physics 10 Spring 009 George Williams FINAL EXAM -- REVIEW PROBLEMS A data sheet is provided. Table 10- from your text is assumed, and will be provided on the final exam. 1. A rock is thrown downward from

More information

3. What type of force is the woman applying to cart in the illustration below?

3. What type of force is the woman applying to cart in the illustration below? Name: Forces and Motion STUDY GUIDE Directions: Answer the following questions. 1. What is a force? a. A type of energy b. The rate at which an object performs work c. A push or a pull d. An object that

More information

Physics 121, Sections 1 and 2, Winter 2011 Instructor: Scott Bergeson Exam #3 April 16 April 21, 2011 RULES FOR THIS TEST:

Physics 121, Sections 1 and 2, Winter 2011 Instructor: Scott Bergeson Exam #3 April 16 April 21, 2011 RULES FOR THIS TEST: Physics 121, Sections 1 and 2, Winter 2011 Instructor: Scott Bergeson Exam #3 April 16 April 21, 2011 RULES FOR THIS TEST: This test is closed book. You may use a dictionary. You may use your own calculator

More information

Physics 6A Winter 2006 FINAL

Physics 6A Winter 2006 FINAL Physics 6A Winter 2006 FINAL The test has 16 multiple choice questions and 3 problems. Scoring: Question 1-16 Problem 1 Problem 2 Problem 3 55 points total 20 points 15 points 10 points Enter the solution

More information

ω = k/m x = A cos (ωt + ϕ 0 ) L = I ω a x = ω 2 x P = F v P = de sys J = F dt = p w = m g F G = Gm 1m 2 D = 1 2 CρAv2 a r = v2

ω = k/m x = A cos (ωt + ϕ 0 ) L = I ω a x = ω 2 x P = F v P = de sys J = F dt = p w = m g F G = Gm 1m 2 D = 1 2 CρAv2 a r = v2 PHYS 2211 A & B Final Exam Formulæ & Constants Fall 2016 Unless otherwise directed, use the gravitational definition of weight, all problems take place on Earth, drag is to be neglected, and all pulleys

More information

EF 151 Final Exam, Fall, 2011 Page 1 of 11

EF 151 Final Exam, Fall, 2011 Page 1 of 11 EF 5 Final Exam, Fall, 0 Page of Instructions Do not open or turn over the exam until instructed to do so. Name, and section will be written on the st page of the exam after time starts. Do not leave your

More information

Q1. A) 46 m/s B) 21 m/s C) 17 m/s D) 52 m/s E) 82 m/s. Ans: v = ( ( 9 8) ( 98)

Q1. A) 46 m/s B) 21 m/s C) 17 m/s D) 52 m/s E) 82 m/s. Ans: v = ( ( 9 8) ( 98) Coordinator: Dr. Kunwar S. Wednesday, May 24, 207 Page: Q. A hot-air balloon is ascending (going up) at the rate of 4 m/s and when the balloon is 98 m above the ground a package is dropped from it, vertically

More information

Physics. Student Materials Advanced Higher. Tutorial Problems Mechanics HIGHER STILL. Spring 2000

Physics. Student Materials Advanced Higher. Tutorial Problems Mechanics HIGHER STILL. Spring 2000 Spring 2000 HIGHER STILL Physics Student Materials Advanced Higher Tutorial Problems Mechanics TUTORIAL 1 You will find tutorials on each topic. The fully worked out answers are available. The idea is

More information

Practice Test for Midterm Exam

Practice Test for Midterm Exam A.P. Physics Practice Test for Midterm Exam Kinematics 1. Which of the following statements are about uniformly accelerated motion? Select two answers. a) If an object s acceleration is constant then it

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. PH105-007 Exam 2 VERSION A Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A 1.0-kg block and a 2.0-kg block are pressed together on a horizontal

More information

AP Physics C: Mechanics Practice (Systems of Particles and Linear Momentum)

AP Physics C: Mechanics Practice (Systems of Particles and Linear Momentum) AP Physics C: Mechanics Practice (Systems of Particles and Linear Momentum) 1980M2. A block of mass m slides at velocity v o across a horizontal frictionless surface toward a large curved movable ramp

More information

PHYSICS 221, FALL 2011 EXAM #2 SOLUTIONS WEDNESDAY, NOVEMBER 2, 2011

PHYSICS 221, FALL 2011 EXAM #2 SOLUTIONS WEDNESDAY, NOVEMBER 2, 2011 PHYSICS 1, FALL 011 EXAM SOLUTIONS WEDNESDAY, NOVEMBER, 011 Note: The unit vectors in the +x, +y, and +z directions of a right-handed Cartesian coordinate system are î, ĵ, and ˆk, respectively. In this

More information

AP Physics Momentum Practice Test. Answers: A,E,E,A,E,B,D,C,B,A,B,E,D,C 16.(a)5450,5650 (b)2.25e7 (c)3 (d)1.5e7 17.(a)9 (b)2 (c)1.5 (d) (e).

AP Physics Momentum Practice Test. Answers: A,E,E,A,E,B,D,C,B,A,B,E,D,C 16.(a)5450,5650 (b)2.25e7 (c)3 (d)1.5e7 17.(a)9 (b)2 (c)1.5 (d) (e). AP Physics Momentum Practice Test Answers: A,E,E,A,E,B,D,C,B,A,B,E,D,C 16.(a)5450,5650 (b).5e7 (c)3 (d)1.5e7 17.(a)9 (b) (c)1.5 (d)-4.75 (e).65 For multiple choice ( points) write the CAPITAL letter of

More information

Oscillatory Motion. Solutions of Selected Problems

Oscillatory Motion. Solutions of Selected Problems Chapter 15 Oscillatory Motion. Solutions of Selected Problems 15.1 Problem 15.18 (In the text book) A block-spring system oscillates with an amplitude of 3.50 cm. If the spring constant is 250 N/m and

More information

PHYS 101 Previous Exam Problems. Gravitation

PHYS 101 Previous Exam Problems. Gravitation PHYS 101 Previous Exam Problems CHAPTER 13 Gravitation Newton s law of gravitation Shell theorem Variation of g Potential energy & work Escape speed Conservation of energy Kepler s laws - planets Orbits

More information

Lab: Energy-Rubber Band Cannon C O N C E P T U A L P H Y S I C S : U N I T 4

Lab: Energy-Rubber Band Cannon C O N C E P T U A L P H Y S I C S : U N I T 4 Name Date Period Objectives: Lab: Energy-Rubber Band Cannon C O N C E P T U A L P H Y S I C S : U N I T 4 1) Find the energy stored within the rubber band cannon for various displacements. 2) Find the

More information

Chapter 14 Oscillations. Copyright 2009 Pearson Education, Inc.

Chapter 14 Oscillations. Copyright 2009 Pearson Education, Inc. Chapter 14 Oscillations 14-1 Oscillations of a Spring If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The

More information

Good Vibes: Introduction to Oscillations

Good Vibes: Introduction to Oscillations Good Vibes: Introduction to Oscillations Description: Several conceptual and qualitative questions related to main characteristics of simple harmonic motion: amplitude, displacement, period, frequency,

More information

Chapter 13. Hooke s Law: F = - kx Periodic & Simple Harmonic Motion Springs & Pendula Waves Superposition. Next Week!

Chapter 13. Hooke s Law: F = - kx Periodic & Simple Harmonic Motion Springs & Pendula Waves Superposition. Next Week! Chapter 13 Hooke s Law: F = - kx Periodic & Simple Harmonic Motion Springs & Pendula Waves Superposition Next Week! Review Physics 2A: Springs, Pendula & Circular Motion Elastic Systems F = kx Small Vibrations

More information

Final Exam April 26, 2016

Final Exam April 26, 2016 PHYS 050 Spring 016 Name: Final Exam April 6, 016 INSTRUCTIONS: a) No books or notes are permitted. b) You may use a calculator. c) You must solve all problems beginning with the equations on the Information

More information

WORK ENERGY AND POWER

WORK ENERGY AND POWER WORK ENERGY AND POWER WORK PHYSICAL DEINITION When the point of application of force moves in the direction of the applied force under its effect then work is said to be done. MATHEMATICAL DEINITION O

More information

Pleeeeeeeeeeeeeease mark your UFID, exam number, and name correctly. 20 problems 3 problems from exam 2

Pleeeeeeeeeeeeeease mark your UFID, exam number, and name correctly. 20 problems 3 problems from exam 2 Pleeeeeeeeeeeeeease mark your UFID, exam number, and name correctly. 20 problems 3 problems from exam 1 3 problems from exam 2 6 problems 13.1 14.6 (including 14.5) 8 problems 1.1---9.6 Go through the

More information

EN40: Dynamics and Vibrations. Midterm Examination Thursday April

EN40: Dynamics and Vibrations. Midterm Examination Thursday April EN40: Dynamics and Vibrations Mierm Examination Thursday April 015 School of Engineering Brown University NAME: General Instructions No collaboration of any kind is permitted on this examination. You may

More information