Last class, we learned Section 9-8, Momentum and Kinetic Energy in Collisions

Size: px
Start display at page:

Download "Last class, we learned Section 9-8, Momentum and Kinetic Energy in Collisions"

Transcription

1 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 class : April 30 th, Monday Today Chapter 9 Quiz #13 (last quiz) Review session : May 4 th, Friday, 5:45-6:45 pm (after Math exam) at Cullimore lecture hall 1 HW hints Last class, we learned Section 9-8, Momentum and Kinetic Energy in Collisions Before collision After collision If F = 0 net external, then the total m v + m v = m v + m v 1 1, i 2 2, i 1 1, f 2 2, f +x direction total momentum is conserved. How about the total kinetic energy, m? 1v m2v2 2 2 If conserved, the collision is called an elastic collision. If NOT conserved, the collision is called an inelastic collision. 1

2 Chapter 9. Center of Mass and Linear Momentum From Section 9-1 to Section 9-8 Center of Mass Linear Momentum Impulse Conservation of Linear Momentum Elastic versus Inelastic Collisions Section 9-9, Inelastic Collisions in One Dimension Section 9-9, 9 9, Inelastic Collisions in One Dimension The total momentum is conserved, but the total kinetic energy is NOT conserved. Examples: Example in the last class Two objects stick together after collision. Complete (fully, or perfectly) inelastic collision (Maximum kinetic energy loss) 2

3 Example : A complete inelastic collision Before the collision, the body with mass m2 is at rest and the body with mass m1 moves directly toward it. After the collision, the stuck-together bodies move with the same velocity. v, m, and m. (a) Find the final velocity V in terms of 1, i 1 2 (b) Which is smaller, the final velocity V or initial velocity v1, i? (c ) Is the collision elastic or inelastic? Velocity of the center of mass In Section 9-5, we learned P = M v total total CM v ( CM : velocity of the center of mass) Therefore, if F net = 0 for a collision The total linear momentum does not change, or P total is constant. v is constant. CM 3

4 Fig Some freeze-frames of two objects and the center of mass for the collision in the previous example. Example For Sample Problem 9-7, find the position and the velocity of the center of mass before, during, and after the explosion of the firecracker? (Hint: This example is very easy.) 4

5 Data : Fatality of a driver in head-on collision (With a passenger) < (Without a passenger) Sample Problem 9-9 Figure represents two identical cars about to collide head-on in a completely inelastic, one-dimensional collision along an x axis. During the collision, the two cars form a closed system. Let's make the reasonable assumption that during the collision the impulse between the cars is so great that we can neglect the relatively minor impulses due to the frictional forces on the tires from the road. Then we can assume that there is no net external force on the two-car system. The x component of the initial velocity of car 1 along the x axis is v1i = +25 m/s, and that of car 2 is v2i = 25 m/s. During the collision, the force (and thus the impulse) on each car causes a change v in the car's velocity. The probability of a driver being killed depends on the magnitude of v for that driver's car. We want to calculate the changes v1 and v2 in the velocities of the two cars. (a) First, let each car carry only a driver. The total mass of car 1 (including driver 1) is m1 = 1400 kg, and the total mass of car 2 (including driver 2) is m2 = 1400 kg. What are the changes v1 and v2 in the velocities of the cars? (b) Next, we reconsider the collision, but this time with an 80 kg passenger in car 1. What are v1 and v2 now? (c) If there s a passenger, does the collision become less fatal, or more fatal? 5

6 Sample Problem 9-8 The ballistic pendulum was used to measure the speeds of bullets before electronic timing devices were developed. The version shown in the figure consists of a large block of wood of mass M = 5.4 kg, hanging from two long cords. A bullet of mass m = 9.5 g is fired into the block, coming quickly to rest. The block + bullet then swing upward, their center of mass rising a vertical distance h = 6.3 cm before the pendulum comes momentarily to rest at the end of its arc. What is the speed of the bullet just prior to the collision? Hints for HW#12 momentum = mass x velocity Right/left +/- sign for velocity P = p + p + p +... = m v + m v + m v

7 Impulse and Change in linear momentum p = I Find x and y components of the initial and final momentum From that, use p = F t = I average 7

8 Look at the previous problem. p = F t = I average 8

9 Spring force is an internal force for system of m, M, and spring. Net external force is still zero, and use conservation of total momentum. Use conservation of linear momentum to find her velocity, which will give you the distance. 9

Evaluations for all courses will be conducted online for Spring 2009.

Evaluations 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 information

Lecture 13. Impulse and Linear Momentum. Center of Mass for a system of particles. Momentum Conservation And Collisions. Physics 105 Summer 2006

Lecture 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 information

A ballistic pendulum

A 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 information

Copy down this Momentum table

Copy down this Momentum table Copy down this Momentum table Objects P before (kg*m/s) P after (kg*m/s) Object 1 Object 2 Total Announcements Quiz on Monday (All content from this week) Momentum Objectives (Mom. and Energy Unit) 1.

More information

Physics 111: Week 8 10 Review

Physics 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 information

Chapter 7. Impulse and Momentum

Chapter 7. Impulse and Momentum Chapter 7 Impulse and Momentum 7.1 The Impulse-Momentum Theorem There are many situations when the force on an object is not constant. 7.1 The Impulse-Momentum Theorem DEFINITION OF IMPULSE The impulse

More information

Chapter 7. Impulse and Momentum

Chapter 7. Impulse and Momentum Chapter 7 Impulse and Momentum 7.1 The Impulse-Momentum Theorem There are many situations when the force on an object is not constant. 7.1 The Impulse-Momentum Theorem DEFINITION OF IMPULSE The impulse

More information

Physics. Impulse & Momentum

Physics. Impulse & Momentum Physics Impulse & Momentum Warm up - Write down everything you know about impulse and momentum. Objectives Students will learn the definitions and equations for impulse, momentum, elastic and inelastic

More information

Momentum and Its Relation to Force

Momentum 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 information

7-6 Inelastic Collisions

7-6 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 information

Chapter 8 LINEAR MOMENTUM AND COLLISIONS

Chapter 8 LINEAR MOMENTUM AND COLLISIONS Chapter 8 LINEAR MOMENTUM AND COLLISIONS Linear Momentum Momentum and Newton s Second Law Impulse Conservation of Linear Momentum Inelastic Collisions Elastic Collisions Center of Mass Systems with Changing

More information

General Physics I Momentum

General 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 information

Energy in Collisions Problems AP Physics C

Energy 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 information

p p I p p p I p I p p

p 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 information

(D) Based on Ft = m v, doubling the mass would require twice the time for same momentum change

(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 information

PROJECTILE MOTION: CONSERVATION OF MOMENTUM 19 FEBRUARY 2013

PROJECTILE MOTION: CONSERVATION OF MOMENTUM 19 FEBRUARY 2013 PROJECTILE MOTION: CONSERVATION OF MOMENTUM 19 FEBRUARY 2013 Lesson Description In this lesson we: Learn that an object s momentum is the amount of motion it has due to its mass and velocity. Show that

More information

LINEAR MOMENTUM AND COLLISIONS

LINEAR 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 information

Linear Momentum. Lecture 15. Chapter 9. Physics I Department of Physics and Applied Physics

Linear 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 information

Name ID Section. 1. One mile is equal to 1609 m; 1 hour is equal to 3600 s. The highway speed limit of 65 mph is equivalent to the speed of:

Name ID Section. 1. One mile is equal to 1609 m; 1 hour is equal to 3600 s. The highway speed limit of 65 mph is equivalent to the speed of: The exam is closed book and closed notes. There are 30 multiple choice questions. Make sure you put your name, section, and ID number on the SCANTRON form. The answers for the multiple choice Questions

More information

Common Exam 3, Friday, April 13, :30 9:45 A.M. at KUPF 205 Chaps. 6, 7, 8. HW #8 and HW #9: Due tomorrow, April 6 th (Fri)

Common Exam 3, Friday, April 13, :30 9:45 A.M. at KUPF 205 Chaps. 6, 7, 8. HW #8 and HW #9: Due tomorrow, April 6 th (Fri) Common Exam 3, Friday, April 13, 2007 8:30 9:45 A.M. at KUPF 205 Chaps. 6, 7, 8 Bring calculators (Arrive by 8:15) HW #8 and HW #9: Due tomorrow, April 6 th (Fri) Today. Chapter 8 Hints for HW #9 Quiz

More information

Chapter 9 Linear Momentum and Collisions

Chapter 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

Ch 7 Impulse-Momentum Theorem, Conservation of Momentum, and Collisions

Ch 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 information

Momentum Energy Angular Momentum

Momentum Energy Angular Momentum Notes 8 Impulse and Momentum Page 1 Impulse and Momentum Newton's "Laws" require us to follow the details of a situation in order to calculate properties of the system. Is there a simpler way? CONSERVATION

More information

Announcements - 9 Oct 2014

Announcements - 9 Oct 2014 Announcements - 9 Oct 2014 1. Prayer 2. Exam 2 results a. Median Score: b. Curve: c. Exams will be returned soon, our office assistant should put them in the boxes near N357 ESC sometime today. d. I'll

More information

Linear Momentum Inelastic Collisions

Linear Momentum Inelastic Collisions Linear Momentum Inelastic Collisions Lana Sheridan De Anza College Nov 9, 2017 Last time collisions elastic collisions Overview inelastic collisions the ballistic pendulum Linear Momentum and Collisions

More information

Center of Mass & Linear Momentum

Center 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 information

Chapter 10 Collision and Impulse

Chapter 10 Collision and Impulse Chapter 10 Collision and Impulse Momentum provides a new analysis technique. With fce analysis and wk-energy analysis, application of the appropriate analysis technique to the problems at the end of the

More information

Chapter 9 Linear Momentum

Chapter 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 information

Chapter 9. 9 Momentum. Momentum. PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition Pearson Education, Inc.

Chapter 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 information

Announcements. There will still be a WebAssign due this Friday, the last before the midterm.

Announcements. 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 information

Chapter 9. Collisions. Copyright 2010 Pearson Education, Inc.

Chapter 9. Collisions. Copyright 2010 Pearson Education, Inc. Chapter 9 Linear Momentum and Collisions Linear Momentum Units of Chapter 9 Momentum and Newton s Second Law Impulse Conservation of Linear Momentum Inelastic Collisions Elastic Collisions Units of Chapter

More information

Chapter 9 Linear Momentum and Collisions

Chapter 9 Linear Momentum and Collisions Chapter 9 Linear Momentum and Collisions Units of Chapter 9 Linear Momentum Momentum and Newton s Second Law Impulse Conservation of Linear Momentum Inelastic Collisions Elastic Collisions Units of Chapter

More information

Physics 231 Lecture 14

Physics 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 information

Physics 10 Lecture 6A. "And in knowing that you know nothing, that makes you the smartest of all. --Socrates

Physics 10 Lecture 6A. And in knowing that you know nothing, that makes you the smartest of all. --Socrates Physics 10 Lecture 6A "And in knowing that you know nothing, that makes you the smartest of all. --Socrates Momentum Which is harder to stop a small ball moving at 1 m/s or a car moving at 1 m/s? Obviously

More information

Chapter 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 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 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

Chapter 7. Impulse and Momentum

Chapter 7. Impulse and Momentum Chapter 7 Impulse and Momentum Chaper 6 Review: Work and Energy Forces and Displacements Effect of forces acting over a displacement Work W = (F cos)s Work changes the Kinetic Energy of a mass Kinetic

More information

Announcements. The second midterm exam is March 8, 5-7 PM in White B51 (this room).

Announcements. The second midterm exam is March 8, 5-7 PM in White B51 (this room). Announcements The second midterm exam is March 8, 5-7 PM in White B51 (this room). The makeup exam is March 5, 5-7 PM in Clark 317. All exam info, including this, is at the class webpage, http://community.wvu.edu/

More information

Phys101 Lectures 14, 15, 16 Momentum and Collisions

Phys101 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 information

Energy problems look like this: Momentum conservation problems. Example 8-1. Momentum is a VECTOR Example 8-2

Energy problems look like this: Momentum conservation problems. Example 8-1. Momentum is a VECTOR Example 8-2 Review Chp 7: Accounting with Mechanical Energy: the overall Bank Balance When we judge how much energy a system has, we must have two categories: Kinetic energy (K sys ), and potential energy (U sys ).

More information

Physics 2514 Lecture 26

Physics 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 information

Physics 131: Lecture 15. Today s Agenda

Physics 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 information

LINEAR MOMENTUM. Momentum Impulse Conservation of Momentum Inelastic Collisions Elastic Collisions Momentum In 2 Dimensions Center of Mass

LINEAR MOMENTUM. Momentum Impulse Conservation of Momentum Inelastic Collisions Elastic Collisions Momentum In 2 Dimensions Center of Mass LINEAR MOMENTUM Momentum Impulse Conservation of Momentum Inelastic Collisions Elastic Collisions Momentum In 2 Dimensions Center of Mass MOMENTUM Quantity of Motion Product of Mass and Velocity p = mv

More information

Physics 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, 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 information

Physics 111. ConcepTest. Lecture 19 (Walker: 9.4-7) Momentum Conservation Collisions Center of Mass Oct. 16, r (80 kg)

Physics 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 information

PS113 Chapter 7. Impulse and Momentum

PS113 Chapter 7. Impulse and Momentum PS113 Chapter 7 Impulse and Momentum 1 The impulse-momentum theorem There are many situations in which the force acting on a object is not constant, but varies with time. The resulting motion can be simply

More information

6.1 Momentum and Impulse A. What is momentum? Newton defined momentum as the quantity of motion

6.1 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

Conserv. of Momentum (Applications)

Conserv. of Momentum (Applications) Conserv. of Momentum (Applications) Announcements: Next midterm a week from Thursday (3/15). Chapters 6 9 will be covered LA information session at 6pm today, UMC 235. Will do some longer examples today.

More information

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

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 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

Chapter 9. Linear Momentum and Collisions

Chapter 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 information

Problem Set 9: Momentum and Collision Theory. Nov 1 Hour One: Conservation Laws: Momentum and Collision Theory. Reading: YF

Problem 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 information

Compare the momentum of the same object moving with different velocities. Identify examples of change in the momentum of an object.

Compare 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 information

Lecture 17. Conservation of Linear Momentum

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 information

PHYS 1303 Final Exam Example Questions

PHYS 1303 Final Exam Example Questions PHYS 1303 Final Exam Example Questions 1.Which quantity can be converted from the English system to the metric system by the conversion factor 5280 mi f 12 f in 2.54 cm 1 in 1 m 100 cm 1 3600 h? s a. feet

More information

Think-Pair-Share. Linear Momentum (Ch 9) Linear Momentum, cont. Newton and Momentum

Think-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 information

October 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 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 information

Physics 1A Fall 2013: Quiz 4 Version A 1. Department of Physics Physics 1A Fall Quarter 2013 Dr. Paddock. Version A

Physics 1A Fall 2013: Quiz 4 Version A 1. Department of Physics Physics 1A Fall Quarter 2013 Dr. Paddock. Version A Physics 1A Fall 2013: Quiz 4 Version A 1 Department of Physics Physics 1A Fall Quarter 2013 Dr. Paddock Version A DO NOT TURN OVER THIS PAGE UNTIL INSTRUCTED TO DO SO PUT AWAY ALL BOOKS, NOTES, PHONES,

More information

CHAPTER 9 LINEAR MOMENTUM AND COLLISION

CHAPTER 9 LINEAR MOMENTUM AND COLLISION CHAPTER 9 LINEAR MOMENTUM AND COLLISION Couse Outline : Linear momentum and its conservation Impulse and Momentum Collisions in one dimension Collisions in two dimension The center of mass (CM) 9.1 Linear

More information

Collisions. Lecture 18. Chapter 11. Physics I. Department of Physics and Applied Physics

Collisions. 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 information

Momentum Conceptual Questions. 1. Which variable has more impact on an object s motion? Its mass or its velocity?

Momentum Conceptual Questions. 1. Which variable has more impact on an object s motion? Its mass or its velocity? AP Physics I Momentum Conceptual Questions 1. Which variable has more impact on an object s motion? Its mass or its velocity? 2. Is momentum a vector or a scalar? Explain. 3. How does changing the duration

More information

Physics 8 Monday, September 16, 2013

Physics 8 Monday, September 16, 2013 Physics 8 Monday, September 16, 2013 Today: ch5 (energy). Read ch6 (relative motion) for Weds. Handing out printed HW3 now due Friday. (I put the PDF up online over the weekend.) Learning physics is both

More information

Physics 121. Quiz lecture 14. Linear momentum (a quick review). Linear momentum (a quick review). Systems with variable mass. ( ) = M d!

Physics 121. Quiz lecture 14. Linear momentum (a quick review). Linear momentum (a quick review). Systems with variable mass. ( ) = M d! Physics 121. Thursday, March 6, 2008. Physics 121. Thursday, March 6, 2008. Course Information Quiz Topics to be discussed today: Conservation of linear momentum and one-dimensional collisions (a brief

More information

Momentum and Its Relation to Force

Momentum 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 information

AP Physics Ch 6 Day 4

AP Physics Ch 6 Day 4 Textbook Reference: Goal/Objectives: Sections 6.3 (Collisions) - Understand how momentum and kinetic energy relate to the 3 types of collisions: elastic, inelastic, and perfectly inelastic - Use projectile

More information

Physics 121. Thursday, March 6, Department of Physics and Astronomy, University of Rochester

Physics 121. Thursday, March 6, Department of Physics and Astronomy, University of Rochester Physics 121. Thursday, March 6, 2008. Physics 121. Thursday, March 6, 2008. Course Information Quiz Topics to be discussed today: Conservation of linear momentum and one-dimensional collisions (a brief

More information

Chapter 7- Linear Momentum

Chapter 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 information

MOMENTUM. The world is wide, and I will not waste my life in friction when it could be turned into momentum. Frances E. Willard.

MOMENTUM. The world is wide, and I will not waste my life in friction when it could be turned into momentum. Frances E. Willard. MOMENTUM The world is wide, and I will not waste my life in friction when it could be turned into momentum. Frances E. Willard Honors Physics CONSERVATION OF Energy Linear Momentum Angular Momentum Electric

More information

Section 1 Momentum and Impulse. Chapter 6. Preview. Objectives Linear Momentum. Houghton Mifflin Harcourt Publishing Company

Section 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 information

(A) 0 (B) mv (C) 2mv (D) 2mv sin θ (E) 2mv cos θ

(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 information

Impulse/Momentum And Its Conservation

Impulse/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 information

Physics 111. Thursday, October 14, Elastic Perfectly Inelastic Inelastic. We ll finish up energy conservation after the break

Physics 111. Thursday, October 14, Elastic Perfectly Inelastic Inelastic. We ll finish up energy conservation after the break ics Thursday, ober 14, 2004 Ch 9: Collisions Elastic Perfectly Inelastic Inelastic We ll finish up energy conservation after the break Announcements Sunday, 6:30-8 pm in CCLIR 468 Midnight Madness: Monday

More information

Dynamics Examples. Robin Hughes and Anson Cheung. 28 th June, 2010

Dynamics 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 information

Today's goal: I can explain and apply concepts of work and energy (3U) to real world applicaons.

Today's goal: I can explain and apply concepts of work and energy (3U) to real world applicaons. Lesson21.notebook September 17, 2013 Work and Energy A 3U Review Today's goal: I can explain and apply concepts of work and energy (3U) to real world applicaons. What is Work? How do we calculate it? Example:

More information

System of objects (particles)

System 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

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

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 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 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

Physics 1501 Lecture 17

Physics 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 information

Lecture Outlines Chapter 9. Physics, 3 rd Edition James S. Walker

Lecture Outlines Chapter 9. Physics, 3 rd Edition James S. Walker Lecture Outlines Chapter 9 Physics, 3 rd Edition James S. Walker 2007 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching

More information

Impulse (J) J = FΔ t Momentum Δp = mδv Impulse and Momentum j = (F)( p = ( )(v) F)(Δ ) = ( )(Δv)

Impulse (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 information

(k = force constant of the spring)

(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 information

HATZIC SECONDARY SCHOOL PROVINCIAL EXAMINATION ASSIGNMENT ENERGY & MOMENTUM MULTIPLE CHOICE / 30 OPEN ENDED / 79 TOTAL / 109 NAME:

HATZIC SECONDARY SCHOOL PROVINCIAL EXAMINATION ASSIGNMENT ENERGY & MOMENTUM MULTIPLE CHOICE / 30 OPEN ENDED / 79 TOTAL / 109 NAME: HATZIC SECONDARY SCHOOL PROVINCIAL EXAMINATION ASSIGNMENT ENERGY & MOMENTUM MULTIPLE CHOICE / 30 OPEN ENDED / 79 TOTAL / 109 NAME: 1. Which of the following best represents the momentum of a small car

More information

PHYSICS 30 MOMENTUM AND IMPULSE ASSIGNMENT 4 VERSION:0 55 MARKS

PHYSICS 30 MOMENTUM AND IMPULSE ASSIGNMENT 4 VERSION:0 55 MARKS Clearly communicate your understanding of the physics principles that you are going to solve a question and how those principles apply to the problem at hand. You may communicate this understanding through

More information

Table of Contents. Pg. # Momentum & Impulse (Bozemanscience Videos) 1 1/11/16

Table 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 information

Lecture 13. Collisions. and Review of material. Pre-reading: KJF 9.5. Please take an evaluation form

Lecture 13. Collisions. and Review of material. Pre-reading: KJF 9.5. Please take an evaluation form Lecture 13 Collisions and Review of material Pre-reading: KJF 9.5 Please take an evaluation form COLLISIONS KJF 9.5, 10.7 Conservation of momentum Recall from our discussion of momentum (Lecture 9), that

More information

On my honor as a Texas A&M University student, I will neither give nor receive unauthorized help on this exam.

On my honor as a Texas A&M University student, I will neither give nor receive unauthorized help on this exam. Physics 201, Exam 2 Name (printed) On my honor as a Texas A&M University student, I will neither give nor receive unauthorized help on this exam. Name (signed) The multiple-choice problems carry no partial

More information

Q8.3. Wednesday, March 9, Pearson Education, Inc.

Q8.3. Wednesday, March 9, Pearson Education, Inc. Q8.3 A 3.00-kg rifle fires a 0.00500-kg bullet at a speed of 300 m/s. Which force is greater in magnitude: (i) the force that the rifle exerts on the bullet; or (ii) the force that the bullet exerts on

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

m/s m/s m/s m/s

m/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 information

Chapter 7: Momentum and Impulse

Chapter 7: Momentum and Impulse Chapter 7: Momentum and Impulse Momentum in Sports Momentum is a commonly used term in sports. A team that has a lot of momentum is really on the move and is going to be hard to stop. Momentum is a physics

More information

Physics 111: Week 5 7 Review

Physics 111: Week 5 7 Review Physics 111: Week 5 7 Review Bin Chen NJIT Physics Department Announcements q Common Exam #2 on Oct 29 (Next Monday) from 4:15 pm to 5:45 pm q KUPFRIAN HALL 107 q Must bring your NJIT ID q Cell phone and

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

General Physics I. Lecture 6: Conservation of Momentum. Prof. WAN, Xin 万歆.

General Physics I. Lecture 6: Conservation of Momentum. Prof. WAN, Xin 万歆. General Physics I Lecture 6: Conservation of Momentum Prof. WAN, Xin 万歆 xinwan@zju.edu.cn http://zimp.zju.edu.cn/~xinwan/ Outline Importance of conservation laws in physics Applications of the conservation

More information

Physics 231. Topic 6: Momentum and Collisions. Alex Brown October MSU Physics 231 Fall

Physics 231. Topic 6: Momentum and Collisions. Alex Brown October MSU Physics 231 Fall Physics 231 Topic 6: Momentum and Collisions Alex Brown October 7 2015 MSU Physics 231 Fall 2015 1 Momentum F = m a Newton s 2nd law F = m v/ t a= v/ t F = m (v final - v inital )/ t Define p = mv p: momentum

More information

Lecture 11. Impulse/Momentum. Conservation of Momentum. Cutnell+Johnson: Impulse and Momentum

Lecture 11. Impulse/Momentum. Conservation of Momentum. Cutnell+Johnson: Impulse and Momentum Lecture 11 Impulse/Momentum Conservation of Momentum Cutnell+Johnson: 7.1-7.3 Impulse and Momentum We learned about work, which is the force times distance (times the cosine of the angle in between the

More information

Problem Set 9: Momentum and Collision Theory : Solutions

Problem 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 information

Welcome back to Physics 211

Welcome 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 information

Impulse and Momentum continued

Impulse and Momentum continued Chapter 7 Impulse and Momentum continued 7.2 The Principle of Conservation of Linear Momentum External forces Forces exerted on the objects by agents external to the system. Net force changes the velocity

More information

Exam 2--PHYS 101--F11--Chapters 4, 5, & 6

Exam 2--PHYS 101--F11--Chapters 4, 5, & 6 ame: Exam 2--PHYS 101--F11--Chapters 4, 5, & 6 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Consider this figure. What is the normal force acting on

More information

Lecture 16. Conservation of Linear Momentum

Lecture 16. Conservation of Linear Momentum Lecture 16 Chapter 11 Conservation of Linear Momentum nother conservation? I like conservations! Course website: http://faculty.uml.edu/ndriy_danylov/teaching/physicsi Department of Physics and pplied

More information

Nov. 27, 2017 Momentum & Kinetic Energy in Collisions elastic collision inelastic collision. completely inelastic collision

Nov. 27, 2017 Momentum & Kinetic Energy in Collisions elastic collision inelastic collision. completely inelastic collision Nov. 27, 2017 Momentum & Kinetic Energy in Collisions In our initial discussion of collisions, we looked at one object at a time, however we'll now look at the system of objects, with the assumption that

More information