PH 101 Tutorial- 4 Date: 28/08/2017
|
|
- Edmund Snow
- 5 years ago
- Views:
Transcription
1 PH 101 Tutorial 4 Date: 28/08/ A simple way to measure the speed of a bullet is with a ballistic pendulum. As illustrated in Fig. 1 this consists of a wooden block of mass M into which the bullet is shot. The block is suspended from cables of length l and the impact of the bullet causes it to swing through a maximum angle φ as shown. The initial speed of the bullet is v and its mass is m. (a) How fast is the block moving immediately after the bullet comes to rest? (Assume that this happens quickly.) (b) Show how to find the velocity of the bullet by measuring m M l and φ. Fig A block of mass M on a horizontal frictionless table is connected to a spring (spring constant k). The block is set in motion so that it oscillates about its equilibrium point with a certain amplitude A!. The period of motion is T! = 2π M/k (a) A lump of sticky putty of mass m is dropped onto the block. The putty sticks without bouncing. The putty hits M at the instant when the velocity of M is zero. Find (1) The new period. (2) The new amplitude. (3) The change in the mechanical energy of the system. (b) Repeat part (a) but this time assume that the sticky putty hits M at the instant when M has its maximum velocity. 3. A particle of mass m and velocity v! collides elastically with a particle of mass M initially at rest and is scattered through angle Θ in the center of mass C system. (a) Find the final velocity of m in the laboratory L system. (b) Find the fractional loss of kinetic energy of m. 4. A superball of mass m bounces back and forth with speed v between two parallel walls as shown in Fig. 2. The walls are initially separated by distance l. Gravity is neglected and the collisions are perfectly elastic. (a) Find the time average force F on each wall. (b) f one surface is slowly moved toward the other with speed V v the bounce rate will increase due to the shorter distance between collisions and because the ball s speed increases when it bounces from the moving surface. Show that!" =!"!" =! and find v(x).!"!!"! (c) Find the average force at distance x. Fig Two balls of mass m and mass 2m approach from perpendicular directions with identical speeds v and collide. After the collision the more massive ball moves with the same speed v but downward perpendicular to its original direction (Refer to Fig. 3). The less massive ball moves with speed U at an angle θ with respect to the horizontal. Assume that no external forces act during the collision. 1
2 PH 101 Tutorial 4 Date: 28/08/2017 Fig. 3 (a) Calculate the final speed U of the less massive ball and the angle θ. (b) Determine how much kinetic energy is lost or gained by the two balls during the collision. s this collision elastic inelastic or superelastic? 6. (a) A particle executes Simple Harmonic motion and is located at x = a b and c at time t! 2t!!!!!!! and 3t! respectively. Show that the frequency of oscillation is cos. [Hint: take the SHM!!!!!! to be of the form x = A sin(ωt)] (b) A cylinder of mass m is allowed to roll on a smooth horizontal table with a spring of spring constant k attached to it so that it executes SHM about the equilibrium position. Find the time period of oscillations. 7. A U tube with cross section A is filled with a liquid (having density ρ and total mass M) the total length of the liquid column being h. f the liquid on one side is slightly depressed by blowing gently down the levels of the liquid will oscillate about the equilibrium position before finally coming to rest. (a) Show that the oscillations are SHM. (b) Find the period of oscillations. 2
3 .1... 'Do t//l ca)1v "(YvO::O c.of'.svwecf2 {L..e_ :_f) ' :?f = rm)vl'::::; l'f.::::=v" \/= m v V' fl J 1 b/:p6< < 0 :::::0 \ 6(. x: 0+ M )V:..:1.. m 0'+ M) (} h.. \ _ ;+ 1\11
4 !t (0...) (j) ht cxl. '<l o 2n j n:_ As t/...r. (_mt M) :J o:». "':M "T"f'\l..W = un: rm r: 0 () h..t {)"". s'uc<:. od: n:»..?(.. tke 'fyw /.so tlvz_ Li t s be.. 1$1.0 t::il:i 1ha..:b (..'3) to M. T {)1..L.c_h.. c.c...i 13(l.. tl.l c..c..r. Cv1'Vf'L(_ f\;o 7 :ZUY1..;t:c..Q f'v1...orrtl4t. "'0 E:=K.A c... <...voch.w1'l....) tt...e.. cq.e) le ) L) (..0 T (h.cvn +1\11).so T :::::r;: J 1fV c (V (?") c.. / (h.o t;...bu_c ')'l.ot: tk.e.. c..j._ w 1'lJ_.sS So <r b jt b1f'e_ CV(\d V be... tt...e.. FJt.U>t of.n o
5 CoO'C _ U )Vc. j La.bc.r C L) C; evn () f:j...vz_ "ttl t (hq/y.) VLLo4fj O Ve.:.a vru;;;.. l::: v_v v o Co c v == c Xv aa"\ C CD(1.J CO co(l. " t/.. t c tc L ad4 : CcP (Y\.4/)? <YV (_ l:c.h. (_sc:(.;) ) Co c::vu:... 1'\ 'G.eNo vdocl.. <re:a..j;;:r.. fl"? s...vc 0...;r _ v o C. (_t ) 2..{y)M [1' Cv.>eJ) l6y' 1 M ) '2 (p M;;' C!tt AKwtna) 5aM (" f'ts" ""_ )
6 4 ) (4) s w u.: aal cc: Sicf' cd.u (_6) 11 P = '2..m 'if \Vvl. urv t!dr.1.i_. L.? Ll T =. Q...e. Llp 2. T\AJ ()J\) F zz: mv " CL ilr jl '"\J {)tl<)o' To Cbn obs /AJU& O tt_ n:«wa.u2:> t:l.v2 SUfbv b CfPo ujifh_ SF <r + v c;u\jl LJi t:k k Sam..e. S' (_ el a)lliko) Cofl\l bc..d< Co b:«. la.b '0 +» V w... ob. (V"t V) + V v/ ::::::. = vt 2..V.J.. df dv /1 / F
7 f')_.<'f\v " " " "()'1 '" V Co? t9.. <YlVJ (.. "2"" ::::: U u;>c!}...r U $1(\19 " ; {Yl U sinc9 J " Q.m v: \) o 'JV fd ".tv. )V.>.. U /.:./ ;x..!'" \ CD =::::;.) bu1.<9 _ d ;2J <r \.J s: S i(l <9 '1 =) 'b. c k m)v 2 r {'("V x:.2 mv <.l " G z: j_ L'2tn)... +: 1"(\ \.J?.. "} :2 ':2? + _ 5..b '(rv <"'V z? _ =+ <'(V?? ṡo
8 A Sin.!2.<.Jto c.. A S'( 3...;'t o w..l to _ ( tl ) ". v.:> w1 \::::... w tljq'" (4 z: u).l 3nv. '7rc JL J ")..jl HfVL ;
9 ::( (_c;_ ) uc "tr" n tu»: b b 6 d.e.rµnul :J x.? SO flv._; t':'.e&v<> '0 o;«b i ci 1L... k c b. i(1... tz_q. A t:;.4joe (\Jl n:«+t>jj.? f o.". h.. "2"((.. 2 rc: 1 z:j 2a
Chap. 4: Work and Energy. R i s h i k e s h V a i d y a Theoretical Particle Physics Office: 3265
Chap. 4: Work and Energy R i s h i k e s h V a i d y a Theoretical Particle Physics Office: 3265 rishidilip@gmail.com Physics Group, B I T S Pilani September 7, 2012 Outline 1 Work Energy Theorem 2 Potential
More informationMomentum in 1-Dimension
Momentum in 1-Dimension Level : Physics I Date : Warm-up Questions If you were in a car that was out of control and had to choose between hitting a concrete wall or a haystack to stop, which would you
More informationSimple Harmonic Motion Practice Problems PSI AP Physics B
Simple Harmonic Motion Practice Problems PSI AP Physics B Name Multiple Choice 1. A block with a mass M is attached to a spring with a spring constant k. The block undergoes SHM. Where is the block located
More informationEnergy in Collisions Problems AP Physics C
1. A bullet of mass m and velocity v 0 is fired toward a block of mass 4m. The block is initially at rest on a v frictionless horizontal surface. The bullet penetrates the block and emerges with a velocity
More informationAP Physics C. Momentum. Free Response Problems
AP Physics C Momentum Free Response Problems 1. A bullet of mass m moves at a velocity v 0 and collides with a stationary block of mass M and length L. The bullet emerges from the block with a velocity
More informationCenter of Mass & Linear Momentum
PHYS 101 Previous Exam Problems CHAPTER 9 Center of Mass & Linear Momentum Center of mass Momentum of a particle Momentum of a system Impulse Conservation of momentum Elastic collisions Inelastic collisions
More informationPractice 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
More informationEnd-of-Chapter Exercises
End-of-Chapter Exercises Exercises 1 12 are conceptual questions that are designed to see if you have understood the main concepts of the chapter. 1. When a spring is compressed 10 cm, compared to its
More informationPhysics 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 information4 A mass-spring oscillating system undergoes SHM with a period T. What is the period of the system if the amplitude is doubled?
Slide 1 / 52 1 A block with a mass M is attached to a spring with a spring constant k. The block undergoes SHM. Where is the block located when its velocity is a maximum in magnitude? A 0 B + or - A C
More information1. A 1,160-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a
Collisions Worksheet Honors: Name: Date: 1. A 1,160-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 9,900-kg truck moving in the same direction
More informationMechanical Energy and Simple Harmonic Oscillator
Mechanical Energy and Simple Harmonic Oscillator Simple Harmonic Motion Hooke s Law Define system, choose coordinate system. Draw free-body diagram. Hooke s Law! F spring =!kx ˆi! kx = d x m dt Checkpoint
More informationChapter Work, Energy and Power. Q1. The co-efficient of restitution e for a perfectly elastic collision is [1988] (a) 1 (b) 0 (c) (d) 1 Ans: (a)
Chapter Work, Energy and Power Q1. The co-efficient of restitution e for a perfectly elastic collision is [1988] (a) 1 (b) 0 (c) (d) 1 Q2. A bullet of mass 10g leaves a rifle at an initial velocity of
More informationPROBLEM 2 10 points. [ ] increases [ ] decreases [ ] stays the same. Briefly justify your answer:
PROBLEM 2 10 points A disk of mass m is tied to a block of mass 2m via a string that passes through a hole at the center of a rotating turntable. The disk rotates with the turntable at a distance R from
More informationOscillations. 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(D) Based on Ft = m v, doubling the mass would require twice the time for same momentum change
1. A car of mass m, traveling at speed v, stops in time t when maximum braking force is applied. Assuming the braking force is independent of mass, what time would be required to stop a car of mass m traveling
More informationAnnouncements. There will still be a WebAssign due this Friday, the last before the midterm.
Announcements THERE WILL BE NO CLASS THIS FRIDAY, MARCH 5 (We are 1 full lecture ahead of the syllabus, so we will still have review/problem solving on March 7 and 9). There will still be a WebAssign due
More informationFirst Year Physics: Prelims CP1 Classical Mechanics: DR. Ghassan Yassin
First Year Physics: Prelims CP1 Classical Mechanics: DR. Ghassan Yassin MT 2007 Problems I The problems are divided into two sections: (A) Standard and (B) Harder. The topics are covered in lectures 1
More informationIf there is now a constant air resistance force of 35 N, what is the new maximum height the ball attains?
A 1kg ball is launched straight up into the air with an initial speed of 64 m/s. Using only energy considerations, determine the maximum height the ball attains assuming there is no air resistance. If
More informationEssential Physics I. Lecture 9:
Essential Physics I E I Lecture 9: 15-06-15 Last lecture: review Conservation of momentum: p = m v p before = p after m 1 v 1,i + m 2 v 2,i = m 1 v 1,f + m 2 v 2,f m 1 m 1 m 2 m 2 Elastic collision: +
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A 4.8-kg block attached to a spring executes simple harmonic motion on a frictionless
More informationA) 4.0 m/s B) 5.0 m/s C) 0 m/s D) 3.0 m/s E) 2.0 m/s. Ans: Q2.
Coordinator: Dr. W. Al-Basheer Thursday, July 30, 2015 Page: 1 Q1. A constant force F ( 7.0ˆ i 2.0 ˆj ) N acts on a 2.0 kg block, initially at rest, on a frictionless horizontal surface. If the force causes
More informationChapter 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 informationSimple Harmonic Motion Practice Problems PSI AP Physics 1
Simple Harmonic Motion Practice Problems PSI AP Physics 1 Name Multiple Choice Questions 1. A block with a mass M is attached to a spring with a spring constant k. The block undergoes SHM. Where is the
More informationProblem Set 9: Momentum and Collision Theory : Solutions
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.0T Fall Term 2004 Problem Set 9: Momentum and Collision Theory : Solutions Problem : Impulse and Momentum The compressive force per
More informationQ1. Which of the following is the correct combination of dimensions for energy?
Tuesday, June 15, 2010 Page: 1 Q1. Which of the following is the correct combination of dimensions for energy? A) ML 2 /T 2 B) LT 2 /M C) MLT D) M 2 L 3 T E) ML/T 2 Q2. Two cars are initially 150 kilometers
More information4.) 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 informationModule 18: Collision Theory
Module 8: Collision Theory 8 Introduction In the previous module we considered examples in which two objects collide and stick together, and either there were no external forces acting in some direction
More informationA ballistic pendulum
A ballistic pendulum A ballistic pendulum is a device used to measure the speed of a bullet. A bullet of mass m is fired at a block of wood (mass M) hanging from a string. The bullet embeds itself in the
More informationSt. Joseph s Anglo-Chinese School
Time allowed:.5 hours Take g = 0 ms - if necessary. St. Joseph s Anglo-Chinese School 008 009 First Term Examination Form 6 ASL Physics Section A (40%) Answer ALL questions in this section. Write your
More informationRecap: Energy Accounting
Recap: Energy Accounting Energy accounting enables complex systems to be studied. Total Energy = KE + PE = conserved Even the simple pendulum is not easy to study using Newton s laws of motion, as the
More informationGood 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 informationSRI LANKAN PHYSICS OLYMPIAD COMPETITION 2007
SRI LANKAN PHYSICS OLYMPIAD COMPETITION 007 Time Allocated : 0 Hours Calculators are not allowed to use. Date of Examination : 07 07 007 Index No. :. Time : 9.00 a.m. - 11.00 a.m. INSTRUCTIONS Answer all
More informationChapter 13, Vibrations and Waves. 1. A large spring requires a force of 150 N to compress it only m. What is the spring constant of the spring?
CHAPTER 13 1. A large spring requires a force of 150 N to compress it only 0.010 m. What is the spring constant of the spring? a. 125 000 N/m b. 15 000 N/m c. 15 N/m d. 1.5 N/m 2. A 0.20-kg object is attached
More informationMass on a Spring C2: Simple Harmonic Motion. Simple Harmonic Motion. Announcements Week 12D1
Simple Harmonic Motion 8.01 Week 1D1 Today s Reading Assignment MIT 8.01 Course Notes Chapter 3 Simple Harmonic Motion Sections 3.1-3.4 1 Announcements Sunday Tutoring in 6-15 from 1-5 pm Problem Set 9
More informationUnit 2- Energy and Momentum Test
Name: Class: Date: ID: A Unit 2- Energy and Momentum Test Multiple Choice Identify the choice that best completes the statement or answers the question.. Which of the following is not a unit of energy?
More informationPHYSICS 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 informationPotential Energy & Conservation of Energy
PHYS 101 Previous Exam Problems CHAPTER 8 Potential Energy & Conservation of Energy Potential energy Conservation of energy conservative forces Conservation of energy friction Conservation of energy external
More informationAn astronaut of mass 80 kg pushes away from a space Both!p x
Chapter 6 Momentum Collisions Definition: Momentum Important because it is CONSERVED proof: p = m v F = m v t = p t Ft = p Since F 12 =-F 21, p 1 + p 2 = 0 p i for isolated particles never changes Vector
More informationDynamics Examples. Robin Hughes and Anson Cheung. 28 th June, 2010
Dynamics Examples Robin Hughes and Anson Cheung 28 th June, 2010 1 Newton s Laws Figure 1: 3 connected blocks Figure 2: Masses on a trolley 1. Two blocks of mass m 1 = 1kg and m 2 = 2kg on a frictionless
More informationPhysics 221. Exam III Spring f S While the cylinder is rolling up, the frictional force is and the cylinder is rotating
Physics 1. Exam III Spring 003 The situation below refers to the next three questions: A solid cylinder of radius R and mass M with initial velocity v 0 rolls without slipping up the inclined plane. N
More informationGeneral Physics I Momentum
General Physics I Momentum Linear Momentum: Definition: For a single particle, the momentum p is defined as: p = mv (p is a vector since v is a vector). So p x = mv x etc. Units of linear momentum are
More informationWelcome back to Physics 211
Welcome back to Physics 211 Today s agenda: Circular motion Impulse and momentum 08-2 1 Current assignments Reading: Chapter 9 in textbook Prelecture due next Thursday HW#8 due NEXT Friday (extension!)
More informationAP 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 information1 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(A) 10 m (B) 20 m (C) 25 m (D) 30 m (E) 40 m
PSI AP Physics C Work and Energy (Algebra Based) Multiple Choice Questions (use g = 10 m/s 2 ) 1. A student throws a ball upwards from the ground level where gravitational potential energy is zero. At
More informationAP physics B - Webreview ch 13 Waves
Name: Class: _ Date: _ AP physics B - Webreview ch 13 Waves Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A large spring requires a force of 150 N to
More informationPractice 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 informationChapter 14 Oscillations. Copyright 2009 Pearson Education, Inc.
Chapter 14 Oscillations Oscillations of a Spring Simple Harmonic Motion Energy in the Simple Harmonic Oscillator Simple Harmonic Motion Related to Uniform Circular Motion The Simple Pendulum The Physical
More informationChapter 9 Linear Momentum and Collisions
Chapter 9 Linear Momentum and Collisions The Center of Mass The center of mass of a system of particles is the point that moves as though (1) all of the system s mass were concentrated there and (2) all
More information(1) Center of mass of a symmetric object always lies on an axis of symmetry. (2) Center of mass of an object does NOT need to be on the object.
x com = 1 M N i=1 m ix i x com = 1 M xdm x com = 1 V xdv y com = 1 M N i=1 m iy i y com = 1 M ydm z com = 1 M N i=1 m iz i z com = 1 M zdm M = N i=1 m i ρ = dm dv = M V Here mass density replaces mass
More informationExtra credit assignment #4 It can be handed in up until one class before Test 4 (check your course outline). It will NOT be accepted after that.
Extra credit assignment #4 It can be handed in up until one class before Test 4 (check your course outline). It will NOT be accepted after that. NAME: 4. Units of power include which of the following?
More informationClassical Mechanics Lecture 11
Classical Mechanics Lecture 11 Today s Examples Center of Mass Today s Concept: Conservation of Momentum Inelastic Collisions Mechanics Lecture 11, Slide 1 Unit 10 Homework Problems Mechanics Lecture 10,
More informationForce, 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 informationPHYSICS - CLUTCH CH 15: PERIODIC MOTION (NEW)
!! www.clutchprep.com CONCEPT: Hooke s Law & Springs When you push/pull against a spring (FA), spring pushes back in the direction. (Action-Reaction!) Fs = FA = Ex. 1: You push on a spring with a force
More informationCh 10 HW: Problem Spring Force
Ch 10 HW: Problem 10.1 - Spring Force A 3.40-kg block is held against a vertical wall by a spring force in the setup shown below. The spring has a spring constant k = 725 N/m. Someone pushes on the end
More informationAP Physics Free Response Practice Oscillations
AP Physics Free Response Practice Oscillations 1975B7. A pendulum consists of a small object of mass m fastened to the end of an inextensible cord of length L. Initially, the pendulum is drawn aside through
More informationToday s lecture. WEST VIRGINIA UNIVERSITY Physics
Today s lecture Review of chapters 1-14 Note: I m taking for granted that you ll still know SI/cgs units, order-of-magnitude estimates, etc., so I m focusing on problems. Velocity and acceleration (1d)
More informationChapter 11 Vibrations and Waves
Chapter 11 Vibrations and Waves 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 mass and spring system
More informationConservation of Momentum: Marble Collisions Student Version
Conservation of Momentum: Marble Collisions Student Version In this lab you will roll a marble down a ramp, and at the bottom of the ramp the marble will collide with another marble. You will measure the
More informationExam 3 Practice Solutions
Exam 3 Practice Solutions Multiple Choice 1. A thin hoop, a solid disk, and a solid sphere, each with the same mass and radius, are at rest at the top of an inclined plane. If all three are released at
More informationGood Vibes: Introduction to Oscillations
Chapter 14 Solutions Good Vibes: Introduction to Oscillations Description: Several conceptual and qualitative questions related to main characteristics of simple harmonic motion: amplitude, displacement,
More informationCh 7 Impulse-Momentum Theorem, Conservation of Momentum, and Collisions
Ch 7 Impulse-Momentum Theorem, Conservation of Momentum, and Collisions Momentum and its relation to force Momentum describes an object s motion. Linear momentum is the product of an object s mass and
More informationPhysics 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 informationProblem Set 9: Momentum and Collision Theory. Nov 1 Hour One: Conservation Laws: Momentum and Collision Theory. Reading: YF
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.0T Fall Term 2004 Problem Set 9: Momentum and Collision Theory Available on-line October 29; Due: November 9 at 4:00 p.m. Please write
More informationImpulse/Momentum And Its Conservation
Impulse/Momentum And Its Conservation Which is easier to stop? Truck, car, bowling ball, or baseball all moving at 30 mph. Baseball -it is the least massive. Baseball at 30 mph or a baseball at 90 mph.
More informationPHY218 SPRING 2016 Review for Exam#3: Week 12 Review: Linear Momentum, Collisions, Rotational Motion, and Equilibrium
PHY218 SPRING 2016 Review for Exam#3: Week 12 Review: Linear Momentum, Collisions, Rotational Motion, and Equilibrium These are selected problems that you are to solve independently or in a team of 2-3
More informationAP Physics C Summer Homework. Questions labeled in [brackets] are required only for students who have completed AP Calculus AB
1. AP Physics C Summer Homework NAME: Questions labeled in [brackets] are required only for students who have completed AP Calculus AB 2. Fill in the radian conversion of each angle and the trigonometric
More informationnot to be republished NCERT OSCILLATIONS Chapter Fourteen MCQ I π y = 3 cos 2ωt The displacement of a particle is represented by the equation
Chapter Fourteen OSCILLATIONS MCQ I 14.1 The displacement of a particle is represented by the equation π y = 3 cos 2ωt 4. The motion of the particle is (a) simple harmonic with period 2p/w. (b) simple
More informationSimple Harmonic Oscillator Challenge Problems
Simple Harmonic Oscillator Challenge Problems Problem 1: Dimensional Analysis, Estimation and Concepts Imagine that one drilled a hole with smooth sides straight through the center of the earth, of radius
More informationOscillations. Phys101 Lectures 28, 29. Key points: Simple Harmonic Motion (SHM) SHM Related to Uniform Circular Motion The Simple Pendulum
Phys101 Lectures 8, 9 Oscillations Key points: Simple Harmonic Motion (SHM) SHM Related to Uniform Circular Motion The Simple Pendulum Ref: 11-1,,3,4. Page 1 Oscillations of a Spring If an object oscillates
More informationChapter 9 Linear Momentum
Chapter 9 Linear Momentum 7 12/7 16/7 Units of Chapter 9 Momentum, Impulse and Collisions Momentum and Impulse Define momentum Force and rate of change of momentum; resultant force as rate of change of
More informationMechanics. Time (s) Distance (m) Velocity (m/s) Acceleration (m/s 2 ) = + displacement/time.
Mechanics Symbols: Equations: Kinematics The Study of Motion s = distance or displacement v = final speed or velocity u = initial speed or velocity a = average acceleration s u+ v v v u v= also v= a =
More informationPHYS 154 Practice Test 3 Spring 2018
The actual test contains 1 multiple choice questions and 2 problems. However, for extra exercise, this practice test includes 4 problems. Questions: N.B. Make sure that you justify your answers explicitly
More information= y(x, t) =A cos (!t + kx)
A harmonic wave propagates horizontally along a taut string of length L = 8.0 m and mass M = 0.23 kg. The vertical displacement of the string along its length is given by y(x, t) = 0. m cos(.5 t + 0.8
More informationPHYSICS FORMULAS. A. B = A x B x + A y B y + A z B z = A B cos (A,B)
PHYSICS FORMULAS A = A x i + A y j Φ = tan 1 A y A x A + B = (A x +B x )i + (A y +B y )j A. B = A x B x + A y B y + A z B z = A B cos (A,B) linear motion v = v 0 + at x - x 0 = v 0 t + ½ at 2 2a(x - x
More informationPhysics 211: Lecture 14. Today s Agenda
Physics 211: Lecture 14 Today s Agenda Systems of Particles Center of mass Linear Momentum Example problems Momentum Conservation Inelastic collisions in one dimension Ballistic pendulum Physics 211: Lecture
More informationAnother Method to get a Sine Wave. X = A cos θ V = Acc =
LAST NAME FIRST NAME DATE PER CJ Wave Assignment 10.3 Energy & Simple Harmonic Motion Conceptual Questions 3, 4, 6, 7, 9 page 313 6, 7, 33, 34 page 314-316 Tracing the movement of the mass on the end of
More informationTOPIC E: OSCILLATIONS EXAMPLES SPRING Q1. Find general solutions for the following differential equations:
TOPIC E: OSCILLATIONS EXAMPLES SPRING 2019 Mathematics of Oscillating Systems Q1. Find general solutions for the following differential equations: Undamped Free Vibration Q2. A 4 g mass is suspended by
More informationMomentum. Physics 1425 Lecture 15. Michael Fowler, UVa
Momentum Physics 1425 Lecture 15 Michael Fowler, UVa Physics Definition of Momentum Momentum is another word (like work, energy, etc.) from everyday life that has a precise meaning when used in physics.
More information3. How long must a 100 N net force act to produce a change in momentum of 200 kg m/s? (A) 0.25 s (B) 0.50 s (C) 1.0 s (D) 2.0 s (E) 4.
AP Physics Multiple Choice Practice Momentum and Impulse 1. A car of mass m, traveling at speed v, stops in time t when maximum braking force is applied. Assuming the braking force is independent of mass,
More informationBallistic Pendulum and Projectile Motion
Ballistic Pendulum and Projectile Motion The initial velocity of a ball shot from a spring gun is determined by the equations for projectile motion and by the equations for a ballistic pendulum. Projectile
More informationChapter 14: Periodic motion
Chapter 14: Periodic motion Describing oscillations Simple harmonic motion Energy of simple harmonic motion Applications of simple harmonic motion Simple pendulum & physical pendulum Damped oscillations
More informationTOPIC B: MOMENTUM EXAMPLES SPRING 2019
TOPIC B: MOMENTUM EXAMPLES SPRING 2019 (Take g = 9.81 m s 2 ). Force-Momentum Q1. (Meriam and Kraige) Calculate the vertical acceleration of the 50 cylinder for each of the two cases illustrated. Neglect
More informationGeneral Physics 1. School of Science, University of Tehran Fall Exercises (set 07)
General Physics 1 School of Science, University of Tehran Fall 1396-97 Exercises (set 07) 1. In Fig., wheel A of radius r A 10cm is coupled by belt B to wheel C of radius r C 25 cm. The angular speed of
More informationOutline. Collisions in 1- and 2-D. Energies from Binary Star Expt. Energy Plot. Energies with Linear Fit. Energy Plot
Collisions in 1- and 2-D Momentum and Energy Conservation Physics 109, Class Period 9 Experiment Number 6 in the Physics 121 Lab Manual 16 October 2007 Outline Brief summary of Binary Star Experiment Description
More informationPart Two: Earlier Material
Part Two: Earlier Material Problem 1: (Momentum and Impulse) A superball of m 1 = 0.08kg, starting at rest, is dropped from a height falls h 0 = 3.0m above the ground and bounces back up to a height of
More informationChapter 14 (Oscillations) Key concept: Downloaded from
Chapter 14 (Oscillations) Multiple Choice Questions Single Correct Answer Type Q1. The displacement of a particle is represented by the equation. The motion of the particle is (a) simple harmonic with
More informationRELEASED. Go to next page. 2. The graph shows the acceleration of a car over time.
1. n object is launched across a room. How can a student determine the average horizontal velocity of the object using a meter stick and a calculator? The student can calculate the object s initial potential
More informationAP Physics 1 Momentum and Impulse Practice Test Name
AP Physics 1 Momentum and Impulse Practice Test Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A rubber ball and a lump of clay have equal
More informationPhysics-MC Page 1 of 29 Inertia, Force and Motion 1.
Physics-MC 2006-7 Page 1 of 29 Inertia, Force and Motion 1. 3. 2. Three blocks of equal mass are placed on a smooth horizontal surface as shown in the figure above. A constant force F is applied to block
More information11. (7 points: Choose up to 3 answers) What is the tension,!, in the string? a.! = 0.10 N b.! = 0.21 N c.! = 0.29 N d.! = N e.! = 0.
A harmonic wave propagates horizontally along a taut string of length! = 8.0 m and mass! = 0.23 kg. The vertical displacement of the string along its length is given by!!,! = 0.1!m cos 1.5!!! +!0.8!!,
More informationImpulse (J) J = FΔ t Momentum Δp = mδv Impulse and Momentum j = (F)( p = ( )(v) F)(Δ ) = ( )(Δv)
Impulse (J) We create an unbalancing force to overcome the inertia of the object. the integral of force over time The unbalancing force is made up of the force we need to unbalance the object and the time
More informationCollision Theory Challenge Problems Solutions
Collision Theory Challenge Problems Solutions Problem 1 Estimate the energy loss in a completely inelastic collision between two identical cars that collide head-on traveling at highway speeds! Solution:
More informationa. 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 informationOctober 24. Linear Momentum: - It is a vector which may require breaking it into components
October 24 Linear Momentum: - It is a vector which may require breaking it into components Newton s First Law: A body continues with Constant Linear Momentum unless it is acted upon by a Net External Force.
More informationName & Surname:... No:... Class: 11 /...
METU D. F. HIGH SCHOOL 2017-2018 ACADEMIC YEAR, 1 st SEMESTER GRADE 11 / PHYSICS REVIEW FOR GENERAL EXAM-3 UNIFORMLY ACCELERATED MOTION IN TWO DIMENSIONS, ENERGY, IMPULSE & MOMENTUM & TORQUE DECEMBER 2017
More informationOn my honor, I have neither given nor received unauthorized aid on this examination.
Instructor(s): Profs. D. Reitze, H. Chan PHYSICS DEPARTMENT PHY 2053 Exam 2 April 2, 2009 Name (print, last first): Signature: On my honor, I have neither given nor received unauthorized aid on this examination.
More information0J2 - Mechanics Lecture Notes 4
0J2 - Mechanics Lecture Notes 4 Dynamics II Forces and motion in 2D and 3D This is the generalisation of Dynamics I to 2D and 3D. We shall use vectors and vector algebra including the scalar (dot) product.
More information11th Grade. Review for General Exam-3. decreases. smaller than. remains the same
1. An object is thrown horizontally with a speed of v from point M and hits point E on the vertical wall after t seconds as shown in the figure. (Ignore air friction.). Two objects M and S are thrown as
More information