Lecture 16. Conservation of Linear Momentum
|
|
- Cordelia Newton
- 5 years ago
- Views:
Transcription
1 Lecture 16 Chapter 11 Conservation of Linear Momentum nother conservation? I like conservations! Course website: Department of Physics and pplied Physics
2 IN THIS CHPTER, you will learn to use the concepts of linear momentum. Today we are going to discuss: Chapter 11: Conservation of Linear Momentum: Section D Collisions (Elastic/Inelastic): Section 11.3 Department of Physics and pplied Physics
3 Example How to avoid broken legs for a cat? F avg t F, that is what can break cat s bones and the cat feels that and tries to reduce F as much as it can. p Since the cat falls from a certain height, p(initial)=δp is given and the cat cannot do anything about that during the collision. y bending legs and increasing an impact time, Δt. Having a certain p, a cat by bending its lags tries to increase t (impact time), so that an impact force would be reduced. (intuitive knowledge of Physics ) Department of Physics and pplied Physics Initial linear momentum Final linear momentum 0 F avg Collision with a floor
4 ConcepTest Two oxes/momentum Two boxes, one heavier than the other, are initially at rest on a horizontal frictionless surface. The same constant force F acts on each one for exactly 1sec. Which box has more linear momentum after the force acts? ) the heavier one ) the lighter one C) both the same We know: p i 0 F av p t p f p f pi t F av t In this case F and t are the same for both boxes! oth boxes will have the same final momentum. F light F heavy
5 ConcepTest Two oxes/velocity (In the previous situation) Which box has the larger velocity after the force acts? ) the heavier one ) the lighter one C) both the same Mv h p f mv l Since M m, then v l v h
6 Conservation of Linear Momentum Department of Physics and pplied Physics
7 Conservation of linear momentum (derivation) Let s consider some cruelty Consider two colliding particles (a ball and a bird). ssume: there are external and internal forces Internal forces obey N.3 rd law: F F From modified Newton s 2 nd law during the collision: dp ext F F dt dd these two eq-ns dp ext ext F F F dt F d( p p) ext ext F F F ( F) dt Thus, the internal forces cancel each other!!! Let s introduce a total linear momentum of two objects Thus, we don t need to know the internal forces to solve collision problems. Department of Physics and pplied Physics ext ext F F dp dt P F F p p ext ext F ext F Cont. collision ext F F
8 Conservation of Linear Momentum Let s look at a special case of zero net external forces. If F ext 0 dp F dt dp, then 0, dt P const thus If no net external force acts on a system, its momentum is conserved. gain, the total momentum remains constant, regardless of whatever interactions (internal forces) are going on inside the system ext Department of Physics and pplied Physics
9 Why is momentum conserved during collision? F N1 F N 2 m g m g 1 2 mg s are canceled by normal forces, so net external force is zero, and the momentum is conserved m g 1 F N 2 m g 2 The net external force is m 1 g, and the momentum is NOT conserved Isolated system is a system on which no external forces act. There are only internal forces acting between objects. this system (two balls) is isolated this system (two balls) is NOT isolated The total momentum of an isolated system of objects is conserved Department of Physics and pplied Physics
10 Example Rolling away girl running with speed of 4.0 m/s jumps on a stationary cart. The girl has a mass of 30 kg and the cart s mass is 10 kg. What is the cart s speed just after the girl jumps on? m 30kg v v 0 m 10kg v v? Initial (before collision) pply Conservation of Momentum: P initial P final Final (after collision) (Since this system is isolated) p initial mv m P initial P final v m v m v p final ' ( m m ) v m v ' m v ' ' ( m m ) v Solve for v : v mv m m 30kg 4.0m / s 30kg 10kg 3m / s Department of Physics and pplied Physics
11 Different types of collisions Linear momentum is conserved in both of these two-body collisions (since there is no net external force) Is mechanical energy conserved in these collisions? Metal balls get deformed and restored Mech. energy is conserved Elastic collision Cars get deformed and not restored. Some Mech. Energy is spent on deformation. Mech. energy is NOT conserved Inelastic collision Department of Physics and pplied Physics
12 1-D Elastic Collisions Department of Physics and pplied Physics
13 m v Elastic Head-on Collision Math (1D) m v m v m v Conservation of momentum Conservation of mech. energy m v m v m v m v 1 2 m v 2 1 m 2 v 2 1 m v m 2 2 m v m v m v m v m v 2 m v 2 m v 2 2 m v m (v v ) m ( v v ) m (v 2 v 2 ) m ( v 2 v 2 ) m (v v )(v v ) m ( v v )( v v ) v v v v v m v m v m v m Department of Physics and pplied Physics v v v ( v v ) Relative velocities switch signs in the collision
14 Elastic Collision Math (1D) 1 st m v m v m v m v 1 m v m v m v m 2 v 2 Conservation of momentum Conservation of mechanical energy 2 nd m v m v m v m v v ( v v ) v Conservation of momentum Conservation of mechanical energy So, instead of the 1 st set of crazy equations, we can use the 2 nd one which is easier (both are linear). It is only true for an elastic head-on collision Department of Physics and pplied Physics
15 Example allistic Pendulum device used to measure the speed of a bullet. the speed of a bullet Department of Physics and pplied Physics For ullet mass 10 g lock mass is 3 kg lock swings up to a height of 5 cm v o 298 m s
16 Department of Physics and pplied Physics Thank you
Lecture 17. Conservation of Linear Momentum
Lecture 17 Chapter 11 Physics I Conservation of Linear Momentum Course website: http://faculty.uml.edu/ndriy_danylov/teaching/physicsi Department of Physics and pplied Physics IN THIS CHPTER, you will
More informationLinear Momentum. Lecture 15. Chapter 9. Physics I Department of Physics and Applied Physics
Lecture 15 Chapter 9 Physics I 10.30.2013 Linear Momentum Course website: http://faculty.uml.edu/ndriy_danylov/teaching/physicsi Lecture Capture: http://echo360.uml.edu/danylov2013/physics1fall.html Outline
More informationCollisions. Lecture 18. Chapter 11. Physics I. Department of Physics and Applied Physics
Lecture 18 Chater 11 Physics I Collisions Course website: htt://faculty.uml.edu/ndriy_danylov/teaching/physicsi Deartment of Physics and lied Physics IN THIS CHPTER, you will discuss collisions of two
More informationPhys101 Lectures 14, 15, 16 Momentum and Collisions
Phys101 Lectures 14, 15, 16 Momentum and Collisions Key points: Momentum and impulse Condition for conservation of momentum and why How to solve collision problems Centre of mass Ref: 9-1,2,3,4,5,6,7,8,9.
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 informationPhysics 1501 Lecture 17
Physics 50: Lecture 7 Today s Agenda Homework #6: due Friday Midterm I: Friday only Topics Chapter 9» Momentum» Introduce Collisions Physics 50: Lecture 7, Pg Newton s nd Law: Chapter 9 Linear Momentum
More informationPhysics 131: Lecture 15. Today s Agenda
Physics 131: Lecture 15 Today s Agenda Impulse and Momentum (or the chapter where physicists run out of letters) Non-constant t forces Impulse-momentum thm Conservation of Linear momentum External/Internal
More informationChapter 9. Linear Momentum
Chapter 9 Linear Momentum Linear Momentum Conservation of Linear Momentum Kinetic Energy of a System Collisions Collisions in Center of Mass Reference Frame MFMcGraw-PHY 45 Chap09Ha-Momentum-Revised-10//01
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 informationMomentum and Its Relation to Force
Linear Momentum Momentum and Its Relation to Force The linear momentum, or momentum, of an object is defined as the product of its mass and its velocity. Momentum, p, is a vector and its direction is the
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 informationAngular Momentum Conservation of Angular Momentum
Lecture 22 Chapter 12 Physics I Angular Momentum Conservation of Angular Momentum Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsi IN THIS CHAPTER, you will continue discussing rotational
More informationChapter 7- Linear Momentum
Chapter 7- Linear Momentum Old assignments and midterm exams (solutions have been posted on the web) can be picked up in my office (LB-212) All marks, including assignments, have been posted on the web.
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 information7-6 Inelastic Collisions
7-6 Inelastic Collisions With inelastic collisions, some of the initial kinetic energy is lost to thermal or potential energy. It may also be gained during explosions, as there is the addition of chemical
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 informationLast class, we learned Section 9-8, Momentum and Kinetic Energy in Collisions
Final Exam 8:30-11:00 am, May 8th, 2007, Tuesday 208 Kupfrian Hall (Different from the room for the previous exams) From Chapter 1 to Chapter 9 Bring your scientific calculators. Lecture notes at Last
More informationConservation of Angular Momentum
Lecture 23 Chapter 12 Physics I Conservation of Angular Momentum Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsi IN THIS CHAPTER, you will continue discussing rotational dynamics
More informationConcepTest PowerPoints
ConcepTest PowerPoints Chapter 7 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for
More informationCompare the momentum of the same object moving with different velocities. Identify examples of change in the momentum of an object.
HOLT CH 6 notes Objectives :Compare the momentum of different moving objects. Compare the momentum of the same object moving with different velocities. Identify examples of change in the momentum of an
More informationPhysics 207 Lecture 11. Lecture 11. Chapter 8: Employ rotational motion models with friction or in free fall
Goals: Lecture 11 Chapter 8: Employ rotational motion models with friction or in free fall Chapter 9: Momentum & Impulse Understand what momentum is and how it relates to forces Employ momentum conservation
More information23. A force in the negative direction of an x-axis is applied for 27ms to a 0.40kg ball initially moving at 14m/s in the positive direction of the
23. A force in the negative direction of an x-axis is applied for 27ms to a 0.40kg ball initially moving at 14m/s in the positive direction of the axis. The force varies in magnitude, and the impulse has
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 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 informationLecture 13. Impulse and Linear Momentum. Center of Mass for a system of particles. Momentum Conservation And Collisions. Physics 105 Summer 2006
Lecture 13 Center of Mass for a system of particles 2 bodies, 1 dimension Momentum Conservation And Collisions (HR&W, Chapters 9) http://web.njit.edu/~sirenko/ 0 COM Physics 105 Summer 2006 Lecture 13
More informationChapter 9. Momentum. PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition Pearson Education, Inc.
Chapter 9 Momentum PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition 9 Momentum Slide 9-2 Slide 9-3 Slide 9-4 Reading Quiz 1. Impulse is A. a force that is applied at a random
More informationMomentum and Its Relation to Force
Linear Momentum Momentum and Its Relation to Force Momentum is a vector symbolized by the symbol p, and is defined as: It is a vector and has units of: (kg m/s) or (Ns) The rate of change of momentum is
More informationPHYSICS 220 LAB #5: COLLISIONS
Name: Partners: PHYSICS 220 LAB #5: COLLISIONS A large pickup truck and a small car, both moving at the same speed, are about to collide head on. If they get stuck together, which way will the wreckage
More informationSection 1 Momentum and Impulse. Chapter 6. Preview. Objectives Linear Momentum. Houghton Mifflin Harcourt Publishing Company
Section 1 Momentum and Impulse Preview Objectives Linear Momentum Section 1 Momentum and Impulse Objectives Compare the momentum of different moving objects. Compare the momentum of the same object moving
More informationLecture 11. Linear Momentum and Impulse. Collisions.
Lecture 11 Linear Momentum and Impulse. Collisions. Momentum and Newton s Second Law F net = m a= m Δ v Δ t = Δ (m v ) Δ t = Δ p Δ t Linear momentum p = m v Newton s second law in terms of linear momentum:
More informationMULTIPLE 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 informationPhysics 100. Today. Finish Chapter 5: Newton s 3 rd Law. Chapter 6: Momentum
Physics 100 Today Finish Chapter 5: Newton s 3 rd Law Chapter 6: Momentum Momentum = inertia in motion Specifically, momentum = mass x velocity = m v Eg. Just as a truck and a roller skate have different
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 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 informationp p I p p p I p I p p
Net momentum conservation for collision on frictionless horizontal surface v1i v2i Before collision m1 F on m1 from m2 During collision for t v1f m2 F on m2 from m1 v2f +x direction After collision F F
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 informationChapter 9. 9 Momentum. Momentum. PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition Pearson Education, Inc.
Chapter 9 Momentum PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition 9 Momentum Slide 9-2 Slide 9-3 1 Slide 9-4 Reading Quiz 1. Impulse is A. a force that is applied at a random
More informationTable of Contents. Pg. # Momentum & Impulse (Bozemanscience Videos) 1 1/11/16
Table of Contents g. # 1 1/11/16 Momentum & Impulse (Bozemanscience Videos) 2 1/13/16 Conservation of Momentum 3 1/19/16 Elastic and Inelastic Collisions 4 1/19/16 Lab 1 Momentum Chapter 6 Work & Energy
More informationLINEAR MOMENTUM AND COLLISIONS
LINEAR MOMENTUM AND COLLISIONS Chapter 9 Units of Chapter 9 Linear Momentum Momentum and Newton s Second Law Impulse Conservation of Linear Momentum Inelastic Collisions Elastic Collisions Center of Mass
More informationPhysics 201: Lecture 14, Pg 1
Physics 201: Lecture 14, Pg 1 Physics 131: Lecture 15 Today s Agenda Impulse and Momentum (or the chapter where physicists run out of letters) Non-constant forces Impulse-momentum thm Conservation of Linear
More informationPhysics 111: Mechanics Lecture 8
Physics 111: Mechanics Lecture 8 Bin Chen NJIT Physics Department Chapter 8 Momentum, Impulse, and Collisions q q q q q q 8.1 Momentum and Impulse 8.2 Conservation of Momentum 8.3 Momentum Conservation
More informationHour Exam 1 Average 76.5% (no scaling) Mechanics Lecture 12, Slide 2
Your Comments This entire prelecture/checkpoint confused me, but especially the double mass but half speed checkpoint. Hey kid in Seat D23, your shoe is untied! Switching reference frames makes this way
More informationSlide 1 / 47. Momentum by Goodman & Zavorotniy
Slide 1 / 47 Momentum 2009 by Goodman & Zavorotniy Slide 2 / 47 Conservation of Momentum s we pointed out with energy, the most powerful concepts in science are called "conservation principles". These
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 informationPHYSICS. Chapter 11 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT Pearson Education, Inc.
PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 11 Lecture RANDALL D. KNIGHT Chapter 11 Impulse and Momentum IN THIS CHAPTER, you will learn to use the concepts of impulse and momentum.
More informationChapter 9. Linear Momentum and Collisions
Chapter 9 Linear Momentum and Collisions Momentum Analysis Models Force and acceleration are related by Newton s second law. When force and acceleration vary by time, the situation can be very complicated.
More informationPhysics 231 Lecture 14
Physics 231 Lecture 14 Impulses: forces that last a short time Momentum: p = mv Impulse-Momentum theorem: FΔt = Δp = mδv = m( v f v i ) Momentum conservation: p tot,f p 1,f + p 2,f = p 1,i + p 2,i p tot,i
More informationPhysics 131: Lecture 15. Today s Agenda
Physics 131: Lecture 15 Today s Agenda Impulse and Momentum (or the chapter where physicists run out of letters) Non-constant t forces Impulse-momentum thm Conservation of Linear momentum External/Internal
More informationLinear Momentum, Center of Mass, Conservation of Momentum, and Collision.
PHYS1110H, 2011 Fall. Shijie Zhong Linear Momentum, Center of Mass, Conservation of Momentum, and Collision. Linear momentum. For a particle of mass m moving at a velocity v, the linear momentum for the
More informationPhysics 130: Questions to study for midterm #1 from Chapter 7
Physics 130: Questions to study for midterm #1 from Chapter 7 1. Kinetic energy is defined to be one-half the a. mass times the speed. b. mass times the speed squared. c. mass times the acceleration. d.
More informationPhysics 2514 Lecture 26
Physics 2514 Lecture 26 P. Gutierrez Department of Physics & Astronomy University of Oklahoma Physics 2514 p. 1/12 Review We have defined the following using Newton s second law of motion ( F net = d p
More informationThink-Pair-Share. Linear Momentum (Ch 9) Linear Momentum, cont. Newton and Momentum
Linear Momentum (Ch 9) The linear momentum of a particle or an object that can be modeled as a particle of mass m moving with a velocity v is defined to be the product of the mass and velocity: p = m v
More informationName: Class: Date: so sliding friction is better so sliding friction is better d. µ k
Name: Class: Date: Exam 2--PHYS 101-F08 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. You put your book on the seat next to you. When the bus stops,
More informationz F 3 = = = m 1 F 1 m 2 F 2 m 3 - Linear Momentum dp dt F net = d P net = d p 1 dt d p n dt - Conservation of Linear Momentum Δ P = 0
F 1 m 2 F 2 x m 1 O z F 3 m 3 y Ma com = F net F F F net, x net, y net, z = = = Ma Ma Ma com, x com, y com, z p = mv - Linear Momentum F net = dp dt F net = d P dt = d p 1 dt +...+ d p n dt Δ P = 0 - Conservation
More informationUNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics
UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics Physics 111.6 MIDTERM TEST #2 November 15, 2001 Time: 90 minutes NAME: STUDENT NO.: (Last) Please Print (Given) LECTURE SECTION
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 information(A) 0 (B) mv (C) 2mv (D) 2mv sin θ (E) 2mv cos θ
Physics 1 Lesson 8 Forces and Momentum Homework Outcomes 1. Define linear momentum. 2. Determine the total linear momentum of a system. 3. Apply the Law of Conservation of Momentum to solve problems. 4.
More informationCHAPTER 4. Impulse and momentum. CHAPTER s Objectives
60 CHAPTER 4 Impulse and momentum CHAPTER s Objectives To understand the interaction between objects through the impulse and momentum concepts To introduce the law o conservation o momentum, and apply
More informationPhysics 2210 Fall smartphysics 10 Center-of-Mass 11 Conservation of Momentum 10/21/2015
Physics 2210 Fall 2015 smartphysics 10 Center-of-Mass 11 Conservation of Momentum 10/21/2015 Collective Motion and Center-of-Mass Take a group of particles, each with mass m i, position r i and velocity
More informationChapters 9-10 Impulse and Momentum
Chapters 9-10 Impulse and Momentum Momentum Concept Newton s 2 nd Law restated Conservation of momentum Impulse. Impulse-Momentum Theorem Collisions 1D inelastic and elastic collisions 2D collisions 1.
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 100. Today. Finish Chapter 5: Newton s 3 rd Law. Chapter 6: Momentum
Physics 100 Today Finish Chapter 5: Newton s 3 rd Law Chapter 6: Momentum Momentum = inertia in motion Specifically, momentum = mass x velocity = m v Eg. Just as a truck and a roller skate have different
More informationPhysics 111. Lecture 20 (Walker: 9.4-6) Momentum Conservation Collisions Center of Mass March 16, Quiz Wednesday - Chaps. 7 & 8, plus 9.
Physics 111 Lecture 20 (Walker: 9.4-6) Momentum Conservation Collisions Center of Mass March 16, 2009 Quiz Wednesday - Chaps. 7 & 8, plus 9.1-2 Lecture 20 1/30 Conservation of Linear Momentum The net force
More informationAP 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 informationCollisions. Of classical objects like collisions of motor vehicles. Of subatomic particles collisions allow study force law.
Collision Theory Collisions Any interaction between (usually two) objects which occurs for short time intervals Δt when forces of interaction dominate over external forces. Of classical objects like collisions
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 informationSystem of objects (particles)
Today Ch 6, Momentum and Collisions System of particles Elastic vs. inelastic collision Elastic collision in 1D Collision in 2D Center of mass Motion of system of particles (Motion of center of mass) 1
More information(k = force constant of the spring)
Lecture 10: Potential Energy, Momentum and Collisions 1 Chapter 7: Conservation of Mechanical Energy in Spring Problems The principle of conservation of Mechanical Energy can also be applied to systems
More informationTable of Contents. Pg. # Momentum & Impulse (Bozemanscience Videos) 1 1/11/16
Table of Contents g. # 1 1/11/16 Momentum & Impulse (Bozemanscience Videos) 2 1/13/16 Conservation of Momentum 3 1/19/16 Elastic and Inelastic Collisions 4 1/19/16 Lab 1 Momentum 5 1/26/16 Rotational Dynamics
More informationMomentum and Impulse Test Practice
Momentum and Impulse Test Practice Q1 Determine whether the following statements are true or false. 1. Momentum is not equal to the mass of an object divided by its velocity. 2. The momentum of an object
More informationPhysics 111. ConcepTest. Lecture 19 (Walker: 9.4-7) Momentum Conservation Collisions Center of Mass Oct. 16, r (80 kg)
Physics 111 Lecture 19 (Walker: 9.4-7) Momentum Conservation Collisions Oct. 16, 2009 Conservation of (System) Momentum When no external forces do work on a system consisting of objects that interact with
More informationEvaluations for all courses will be conducted online for Spring 2009.
Evaluations for all courses will be conducted online for Spring 2009. The course evaluation site will be active from 9:00 am Monday, April 20 until midnight of Wednesday, May 6th. The URL address to the
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 informationAll moving objects have what Newton called a quantity of motion.
MOMEMTUM MOMENTUM MOMEMTUM MOMENTUM All moving objects have what Newton called a quantity of motion. What is this quantity of motion? Today we call it momentum. Momentum is a characteristic of a moving
More informationMomentum and Impulse
Momentum and Impulse Momentum All objects have mass; so if an object is moving, then it has momentum - it has its mass in motion. The amount of momentum which an object has is dependent upon two variables:
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 informationConservation of Momentum. The total momentum of a closed, isolated system does not change.
Conservation of Momentum In the 17 th century, Newton and others had measured the momentum of colliding objects before and after collision, and had discovered a strange phenomenon: the total momentum of
More informationREVISING MECHANICS (LIVE) 30 JUNE 2015 Exam Questions
REVISING MECHANICS (LIVE) 30 JUNE 2015 Exam Questions Question 1 (Adapted from DBE November 2014, Question 2) Two blocks of masses 20 kg and 5 kg respectively are connected by a light inextensible string,
More informationMomentum. Slide 2 / 69. Slide 1 / 69. Slide 4 / 69. Slide 3 / 69. Slide 5 / 69. Slide 6 / 69. Conservation of Momentum. Conservation of Momentum
Slide 1 / 69 Momentum 2009 by Goodman & Zavorotniy Slide 2 / 69 onservation of Momentum The most powerful concepts in science are called "conservation principles". Without worrying about the details of
More informationm/s m/s m/s m/s
P And J Review TEACHER ANSWER KEY February 10, 2003 2 1. The diagram shows two carts on a horizontal, frictionless surface being pushed apart when a compressed spring attached to one of the carts is released.
More informationMomentum and Collisions
Momentum and Collisions Objectives: You Should Be Able To: Define and give examples of impulse and momentum along with appropriate units. Write and apply a relationship between impulse and momentum in
More informationPHY131H1F - Class 15. Today, we are finishing Chapter 9 on Momentum: Impulse and Momentum. Energy in Collisions. Totally Inelastic Collisions
PHY131H1F - Class 15 Today, we are finishing Chapter 9 on Momentum: Impulse and Momentum Energy in Collisions Totally Inelastic Collisions [image from https://grabcad.com/library/newton-s-cradle-assembly-1
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 informationa = v2 R where R is the curvature radius and v is the car s speed. To provide this acceleration, the car needs static friction force f = ma = mv2
PHY 30 K. Solutions for mid-term test #. Problem 1: The forces acting on the car comprise its weight mg, the normal force N from the road that cancels it, and the static friction force f that provides
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 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 informationChap. 8: Collisions and Momentum Conservation
Chap. 8: Collisions and Momentum Conservation 1. System in Collision and Explosion C.M. 2. Analysis of Motion of System (C.M.) Kinematics and Dynamics Conservation between Before and After a) b) Energy
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 informationBe on time Switch off mobile phones. Put away laptops. Being present = Participating actively
A couple of house rules Be on time Switch off mobile phones Put away laptops Being present = Participating actively Collisions: amazing physics Het basisvak Toegepaste Natuurwetenschappen http://www.phys.tue.nl/nfcmr/natuur/collegenatuur.html
More informationMain Ideas in Class Today
Main Ideas in Class Today After today s class, you should be able to: Understand what a system is and determine whether it is isolated Apply Conservation of Linear Momentum to determine a final velocity
More information1 kg. 10,000 kg. 1 Page. Momentum is a vector so it has a magnitude and a velocity. Its magnitude is the product of its mass and velocity, p = mv.
Momentum The momentum of a single object is simply equal to the product of its mass and its velocity. The symbol for momentum is p. Since mass is a scalar and velocity is a vector, momentum is also a vector.
More informationChapter 15 Kinematics of a Particle: Impulse and Momentum. Lecture Notes for Section 15-2~3
Chapter 15 Kinematics of a Particle: Impulse and Momentum Lecture Notes for Section 15-2~3 PRINCIPLE OF LINEAR IMPULSE AND MOMENTUM AND CONSERVATION OF LINEAR MOMENTUM FOR SYSTEMS OF PARTICLES Today s
More informationPhysics Fall Mechanics, Thermodynamics, Waves, Fluids. Lecture 20: Rotational Motion. Slide 20-1
Physics 1501 Fall 2008 Mechanics, Thermodynamics, Waves, Fluids Lecture 20: Rotational Motion Slide 20-1 Recap: center of mass, linear momentum A composite system behaves as though its mass is concentrated
More informationUnit 5: Momentum. Vocabulary: momentum, impulse, center of mass, conservation of momentum, elastic collision, inelastic collision.
Text: Chapter 9 Unit 5: Momentum NAME: Problems (p. 229-240) #1: 18, 20, 27, 31, 37 (momentum & impulse) #2: 40, 42, 45, 46, 100 (conservation of momentum) #3: 49, 103, 123, 129 (collisions) Vocabulary:
More informationChapter 7. Impulse and Momentum
Chapter 7 Impulse and Momentum 1) Linear momentum p = mv (units: kg m / s) 2) Impulse (produces a finite change in momentum) (a) Constant force: J = FΔt From the 2nd law, F = Δ(m v) Δt = Δ p Δt, so J =
More informationModule 17: Systems, Conservation of Momentum and Center of Mass
Module 17: Systems, Conservation of Momentum and Center of Mass 17.1 External and Internal Forces and the Change in Momentum of a System So far we have restricted ourselves to considering how the momentum
More informationPHYS 1441 Section 002 Lecture #17
PHYS 1441 Section 002 Lecture #17 Dr. Jaehoon Linear Momentum Linear Momentum and Impulse Linear Momentum and Forces Linear Momentum Conservation Collisions Center of Mass Today s homework is homework
More informationPhysics 111: Week 8 10 Review
Physics 111: Week 8 10 Review Bin Chen NJIT Physics Department Announcements q Common Exam #3 on Nov 19 (Next Monday) from 4:15 pm to 5:45 pm in KUPF 107 q Must bring your NJIT ID q Cell phone and electronic
More informationPhys 2101 Gabriela González. Single particle: = ma. net. dt = F. Several particles: P dt = M a com. F ext. If F net =0, momentum is conserved
Phys 2101 Gabriela González Single particle: Several particles: p = mv dp dt = F net = ma p +... P = p p 1 + 2 3 + d P dt = M a com = F ext If F net =0, momentum is conserved Ricardo, mass 95 kg, and Carmelita,
More information6.1 Momentum and Impulse A. What is momentum? Newton defined momentum as the quantity of motion
AP Physics Mechanics Chapter 6 Momentum and Collisions Text chapter 6 - Reading pp. 141-161 - textbook HW -- #1,3,4,6,9,15,16,20,21,23,26,27,25,34,63,70,71 1 6.1 Momentum and Impulse A. What is momentum?
More information