PROPRIETARY MATERIAL.
|
|
|
- Marianna Baker
- 6 years ago
- Views:
Transcription
1 PROLEM To apply shock loading to an artillery shell, a -kg pendulum is released from a known height and strikes impactor at a known elocity. Impactor then strikes the 1-kg artillery shell. Knowing the coefficient of restitution between all objects is e, determine the mass of to maximize the impulse applied to the artillery shell. SOLUTION First impact: impacts. m = kg, m =? Impulse-momentum: Σ m+σ Imp1 =Σm omponents directed left: m = m + m = + m (1 oefficient of restitution: = e( Substituting Eq. ( into Eq. (1 yields = e e = ( = ( e + m (1 + e = ( + m (1 + e = + m Second impact: impacts. m =?, m = 1 kg Impulse-momentum: Σ m +Σ Imp 3 =Σm 3 (3 PROPRIETRY MTERIL. 13 The McGraw-Hill ompanies, Inc. ll rights resered. No part of this Manual may be displayed, 75
2 PROLEM (ontinued omponents directed left: m = m + m m = m + ( oefficient of restitution: = e( Substituting Eq. ( into Eq. (5 yields Substituting Eq. (3 for in Eq. (6 yields = e = e (5 m = m( e + m m (1 + e = (1 + m m (1 + e = 1+ m (6 The impulse applied to the shell is m (1 + e = ( + m (1 + m To maximize this impulse choose m such that is maximum. Set dz / dm equal to zero. (1( m (1 + e m = ( + m (1 + m m Z = ( + m (1 + m dz ( + m (1 + m m [( + m + (1 + m ] = = dm m m ( + ( m + m m (1+ m = m = m =.7 kg PROPRIETRY MTERIL. 13 The McGraw-Hill ompanies, Inc. ll rights resered. No part of this Manual may be displayed, 755
3 PROLEM Two identical cars and are at rest on a loading dock with brakes released. ar, of a slightly different style but of the same weight, has been pushed by dockworkers and hits car with a elocity of 1.5 m/s. Knowing that the coefficient of restitution is.8 between and and.5 between and, determine the elocity of each car after all collisions hae taken place. SOLUTION ollision between and : The total momentum is consered: m = m = m = m Relatie elocities: Soling (1 and ( simultaneously, Since >, car collides with car. ollision between and : m + m = m + m + = (1 ( ( e = ( ( 1.5(.8 = ( 1. = ( = 1.35 m/s =.15 m/s =.15 m/s m + m = m + m + = (3 PROPRIETRY MTERIL. 13 The McGraw-Hill ompanies, Inc. ll rights resered. No part of this Manual may be displayed, 756
4 PROLEM (ontinued Relatie elocities: Soling (3 and ( simultaneously, ( e = ( ( 1.35(.5 = =.675 ( = Since < <, there are no further collisions. = 1.13 m/s =.338 m/s PROPRIETRY MTERIL. 13 The McGraw-Hill ompanies, Inc. ll rights resered. No part of this Manual may be displayed, 757
5 PROLEM Three steel spheres of equal weight are suspended from the ceiling by cords of equal length which are spaced at a distance slightly greater than the diameter of the spheres. fter being pulled back and released, sphere hits sphere, which then hits sphere. Denoting by e the coefficient of restitution between the spheres and by the elocity of just before it hits, determine (a the elocities of and immediately after the first collision, (b the elocities of and immediately after the second collision. (c ssuming now that n spheres are suspended from the ceiling and that the first sphere is pulled back and released as described aboe, determine the elocity of the last sphere after it is hit for the first time. (d Use the result of Part c to obtain the elocity of the last sphere when n = 5 and e =.9. SOLUTION (a (b First collision (between and : The total momentum is consered: Relatie elocities: m + m = m + m = + (1 ( e= ( e= ( Soling Equations (1 and ( simultaneously, Second collision (between and : The total momentum is consered. m + m = m + m Using the result from (a for (1 e = (1 + e = (1 + e + = + (3 Relatie elocities: ( e= PROPRIETRY MTERIL. 13 The McGraw-Hill ompanies, Inc. ll rights resered. No part of this Manual may be displayed, 758
6 PROLEM (ontinued Substituting again for from (a (1 + e ( e = ( Soling equations (3 and ( simultaneously, 1 (1 + e ( e = (1 + + e (1 + e = (c For n spheres n balls ( n 1th collision, we note from the answer to part (b with n = 3 (1 + e n = 3 = = (1 e = or Thus, for n balls (3 1 (1 + e 3 = (3 1 (d For n= 5, e=.9, ( n 1 (1 + e n = ( n 1 from the answer to part (c with n = 5 (1 +.9 = (5 1 (1.9 = ( (5 1 =.815 PROPRIETRY MTERIL. 13 The McGraw-Hill ompanies, Inc. ll rights resered. No part of this Manual may be displayed, 759
PROBLEM SOLUTION
PROLEM 13.119 35, Mg ocean liner has an initial velocity of 4 km/h. Neglecting the frictional resistance of the water, determine the time required to bring the liner to rest by using a single tugboat which
PROPRIETARY MATERIAL.
PROLEM 4. 30- bullet is fired with a horizontal velocity of 450 m/s and becomes embedded in block which has a mass of 3 k. fter the impact, block slides on 30-k carrier C until it impacts the end of the
Linear Momentum and Collisions Conservation of linear momentum
Unit 4 Linear omentum and Collisions 4.. Conseration of linear momentum 4. Collisions 4.3 Impulse 4.4 Coefficient of restitution (e) 4.. Conseration of linear momentum m m u u m = u = u m Before Collision
PROBLEM 7.37 SOLUTION
PROLEM 7.37 For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maimum absolute values of the shear and bending moment. Free bod: Entire beam Σ M = 0: E(6
Problems. 66 km/h B km/h 30 A. v A. 1.5 ft
Problems Problem 3.1 2700-lb automobile starts from rest and traels a quarter of a mile. ssume that the coefficient of static friction between the tires and the paement is 0.70, the automobile has frontwheel
DYNAMICS. Kinetics of Particles: Energy and Momentum Methods VECTOR MECHANICS FOR ENGINEERS: Tenth Edition CHAPTER
Tenth E CHPTER 3 VECTOR MECHNICS FOR ENGINEERS: DYNMICS Ferdinand P. Beer E. Russell Johnston, Jr. Phillip J. Cornwell Lecture Notes: Brian P. Self California Polytechnic State Uniersity Kinetics of Particles:
Chapter 7. Impulse and Momentum
Chapter 7 Ipulse and Moentu 7. The Ipulse-Moentu Theore There are any situations when the force on an object is not constant. 7. The Ipulse-Moentu Theore DEFINITION OF IMPULSE The ipulse of a force is
Physics: Momentum, Work, Energy, Power
Name: ate: 1. The momentum of a 5-kilogram object moving at 6 meters per second is. 1 kg m/sec. 5 kg m/sec. 11 kg m/sec. 30 kg m/sec 2. 60-kilogram student running at 3.0 meters per second has a kinetic
Momentum, Work and Energy Review
Momentum, Work and Energy Review 1.5 Momentum Be able to: o solve simple momentum and impulse problems o determine impulse from the area under a force-time graph o solve problems involving the impulse-momentum
A level Exam-style practice
A level Exam-style practice 1 a e 0 b Using conservation of momentum for the system : 6.5 40 10v 15 10v 15 3 v 10 v 1.5 m s 1 c Kinetic energy lost = initial kinetic energy final kinetic energy 1 1 6.5
1. In part (a) of the figure, an air track cart attached to a spring rests on the track at the position x equilibrium and the spring is relaxed.
1. In part (a) of the figure, an air track cart attached to a spring rests on the track at the position x equilibrium and the spring is relaxed. In (b), the cart is pulled to the position x start and released.
Which row, A to D, in the table correctly shows the quantities conserved in an inelastic collision? mass momentum kinetic energy total energy
1 Water of density 1000 kg m 3 flows out of a garden hose of cross-sectional area 7.2 10 4 m 2 at a rate of 2.0 10 4 m 3 per second. How much momentum is carried by the water leaving the hose per second?
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.
Your Thoughts. What is the difference between elastic collision and inelastic collision?
Your Thoughts This seemed pretty easy...before we got the checkpoint questions What is the difference between elastic collision and inelastic collision? The most confusing part of the pre lecture was 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
Notes Momentum. Momentum and Impulse. - The product (multiplication) of an objects mass and velocity is called momentum.
Notes Momentum Momentum and Impulse - The product (multiplication) of an objects mass and velocity is called momentum. Momentum is the energy of motion of an object. Momentum is represented by the letter.
2014 Physics Exam Review
Name: ate: 1. The diagrams below show a model airplane. Which energy transformation occurs in a rubber band powered model airplane when it is flown?. Thermal energy stored in the rubber band is transformed
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
CJ57.P.003 REASONING AND SOLUTION According to the impulse-momentum theorem (see Equation 7.4), F t = mv
Solution to HW#7 CJ57.CQ.003. RASONNG AND SOLUTON a. Yes. Momentum is a ector, and the two objects hae the same momentum. This means that the direction o each object s momentum is the same. Momentum is
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
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
a by a factor of = 294 requires 1/T, so to increase 1.4 h 294 = h
IDENTIFY: If the centripetal acceleration matches g, no contact force is required to support an object on the spinning earth s surface. Calculate the centripetal (radial) acceleration /R using = πr/t to
PROBLEM 2 10 points. [ ] increases [ ] decreases [ ] stays the same. Briefly justify your answer:
![PROBLEM 2 10 points. [ ] increases [ ] decreases [ ] stays the same. Briefly justify your answer:](/thumbs/87/95272389.jpg "PROBLEM 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
DYNAMICS. Kinematics of Particles Engineering Dynamics Lecture Note VECTOR MECHANICS FOR ENGINEERS: Eighth Edition CHAPTER
27 The McGraw-Hill Companies, Inc. All rights resered. Eighth E CHAPTER 11 VECTOR MECHANICS FOR ENGINEERS: DYNAMICS Ferdinand P. Beer E. Russell Johnston, Jr. Kinematics of Particles Lecture Notes: J.
Name: Class: Date: p 1 = p 2. Given m = 0.15 kg v i = 5.0 m/s v f = 3.0 m/s Solution
Assessment Chapter Test A Teacher Notes and Answers Momentum and Collisions CHAPTER TEST A (GENERAL) 1. c 2. c 3. b 4. c 5. a p i = 4.0 kg m/s p f = 4.0 kg m/s p = p f p i = ( 4.0 kg m/s) 4.0 kg m/s =
( ) Momentum and impulse Mixed exercise 1. 1 a. Using conservation of momentum: ( )
Momentum and impulse Mixed exercise 1 1 a Using conseration of momentum: ( ) 6mu 4mu= 4m 1 u= After the collision the direction of Q is reersed and its speed is 1 u b Impulse = change in momentum I = (3m
1. A tennis ball of mass 100 g is struck by a tennis racket. The velocity of the ball is changed as shown.
NAME:... NEWTONS LAWS OF MOTION 1. A tennis ball of mass 100 g is struck by a tennis racket. The velocity of the ball is changed as shown. What is the magnitude of the change in momentum of the ball? [2m]
Physics! Review Problems Unit A force acting on a 7.0 kg body increases its speed uniformly from 1.0 m/s to 9.0 m/s in 3 s.
Name Physics! Review Problems Unit 8 1. A force acting on a 7.0 kg body increases its speed uniformly from 1.0 m/s to 9.0 m/s in 3 s. a) What is the initial momentum of the body? b) What is the final momentum
APPLICATIONS. CEE 271: Applied Mechanics II, Dynamics Lecture 17: Ch.15, Sec.4 7. IMPACT (Section 15.4) APPLICATIONS (continued) IMPACT READING QUIZ
APPLICATIONS CEE 271: Applied Mechanics II, Dynamics Lecture 17: Ch.15, Sec.4 7 Prof. Albert S. Kim Civil and Environmental Engineering, University of Hawaii at Manoa Date: The quality of a tennis ball
EF 151 Exam #3 - Spring, 2016
Name: Section: Instructions: Sit in assigned seat; failure to sit in assigned seat results in a 0 for the eam. Put name and section on your eam. Put seating label on your equation sheet. Do not open the
CHAPTER 26 LINEAR MOMENTUM AND IMPULSE
CHAPTER 26 LINEAR MOMENTUM AND IMPULSE EXERCISE 118, Page 265 1. Determine the momentum in a mass of 50 kg having a velocity of 5 m/s. Momentum = mass velocity = 50 kg 5 m/s = 250 kg m/s downwards 2. A
Impulse and Momentum. AP Physics B
Imulse and Momentum P Physics B Imulse Momentum Consider Newton s nd Law and the definition of acceleration Units of Imulse: Ns Units of Momentum: Kg x m/s Momentum is defined as Inertia in Motion Imulse
Conservation of Momentum
Conseration of Moentu We left off last with the idea that when one object () exerts an ipulse onto another (), exerts an equal and opposite ipulse onto. This happens in the case of a classic collision,
DYNAMICS VECTOR MECHANICS FOR ENGINEERS: Plane Motion of Rigid Bodies: Energy and Momentum Methods. Tenth Edition CHAPTER
Tenth E CHAPTER 7 VECTOR MECHANICS FOR ENGINEERS: DYNAMICS Ferdinand P. Beer E. Russell Johnston, Jr. Phillip J. Cornwell Lecture Notes: Brian P. Self California State Polytechnic University Plane Motion
Conservation of Linear Momentum, Collisions
Conseration of Linear Momentum, Collisions 1. 3 kg mass is moing with an initial elocity i. The mass collides with a 5 kg mass m, which is initially at rest. Find the final elocity of the masses after
(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
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
PROBLEM rad/s r. v = ft/s
PROLEM 15.38 An automobile traels to the right at a constant speed of 48 mi/h. If the diameter of a wheel is 22 in., determine the elocities of Points, C,, and E on the rim of the wheel. A 48 mi/h 70.4
IMPACT Today s Objectives: In-Class Activities:
Today s Objectives: Students will be able to: 1. Understand and analyze the mechanics of impact. 2. Analyze the motion of bodies undergoing a collision, in both central and oblique cases of impact. IMPACT
1. While rolling on a rough surface, the momentum of a ball becomes half its original value. What can be predicted about the ball s velocity?
o Not Reproduce NPI EO Physics Sample Items Goal 6 1. While rolling on a rough surface, the momentum of a ball becomes half its original value. What can be predicted about the ball s velocity? It becomes
WEP-Energy. 2. If the speed of a car is doubled, the kinetic energy of the car is 1. quadrupled 2. quartered 3. doubled 4. halved
1. A 1-kilogram rock is dropped from a cliff 90 meters high. After falling 20 meters, the kinetic energy of the rock is approximately 1. 20 J 2. 200 J 3. 700 J 4. 900 J 2. If the speed of a car is doubled,
AP Physics Chapter 9 QUIZ
AP Physics Chapter 9 QUIZ Name:. The graph at the right shows the force on an object of mass M as a function of time. For the time interal 0 to 4 seconds, the total change in the momentum of the object
Frames of Reference, Energy and Momentum, with
Frames of Reference, Energy and Momentum, with Interactie Physics Purpose: In this lab we will use the Interactie Physics program to simulate elastic collisions in one and two dimensions, and with a ballistic
Elastic collisions in one dimension Mixed Exercise 4
Elastic collisions in one dimension Mixed Exercise 1 u w A (m) B (m) A (m) B (m) Using conseration of linear momentum for the system ( ): mu m= mw u = w (1) 1 w e= = 3 u ( ) u+ = 3 w () Adding equations
Momentum and Impulse Concept Tests
Momentum and Impulse Concept Tests Question 1 Consider two carts, of masses m and 2m, at rest on an air track. If you push first one cart for 3 s and then the other for the same length of time, exerting
IB Questionbank Physics NAME. IB Physics 2 HL Summer Packet
IB Questionbank Physics NAME IB Physics 2 HL Summer Packet Summer 2017 About 2 hours 77 marks Please complete this and hand it in on the first day of school. - Mr. Quinn 1. This question is about collisions.
Conservation of Momentum in Two Dimensions
Conseration of Momentum in Two Dimensions Name Section Linear momentum p is defined as the product of the mass of an object and its elocity. If there is no (or negligible) external force in a collision,
TOPIC 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
, remembering that! v i 2
Section 53: Collisions Mini Inestigation: Newton s Cradle, page 34 Answers may ary Sample answers: A In Step, releasing one end ball caused the far ball on the other end to swing out at the same speed
Lab 8: Ballistic Pendulum
Lab 8: Ballistic Pendulum Caution In this experiment a steel ball is projected horizontally across the room with sufficient speed to injure a person. Be sure the line of fire is clear before firing the
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.
Page 1. Physics 131: Lecture 16. Today s Agenda. Collisions. Elastic Collision
Physics 131: Lecture 16 Today s Agenda Elastic Collisions Definition Exaples Work and Energy Definition of work Exaples Physics 01: Lecture 10, Pg 1 Collisions Moentu is alost always consered during as
Coimisiún na Scrúduithe Stáit State Examinations Commission
00. M3 Coimisiún na Scrúduithe Stáit State Examinations Commission LEAVING CERTIFICATE EXAMINATION, 00 APPLIED MATHEMATICS HIGHER LEVEL FRIDAY, 5 JUNE MORNING, 9.30 to.00 Six questions to be answered.
AP Mechanics Summer Assignment
2012-2013 AP Mechanics Summer Assignment To be completed in summer Submit for grade in September Name: Date: Equations: Kinematics (For #1 and #2 questions: use following equations only. Need to show derivation
Chapter 7 Energy and Machines Unit Test - Ms. Nechita
hapter 7 Energy and Machines Unit Test - Ms. Nechita Your Name: Printed Feb 26, 2015 03:12 PM Question #1 of 38 1 pt - Which has greater kinetic energy, a car traveling at 30 km/hr or a car of half the
AP 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
Momentum Practice Problems
Momentum Practice Problems PSI AP Physics C Name Multiple Choice 1. A steel ball and a piece of clay have equal mass. They are dropped from the same height on a horizontal steel platform. The ball bounces
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
FOCUS ON CONCEPTS Section 7.1 The Impulse Momentum Theorem
WEEK-6 Recitation PHYS 3 FOCUS ON CONCEPTS Section 7. The Impulse Momentum Theorem Mar, 08. Two identical cars are traeling at the same speed. One is heading due east and the other due north, as the drawing
Since the cylinder rolls without slipping, the point of contact with the ground is the instantaneous center. r Ë Á 1 2ˆ = = = r
PROBEM 7.7 A 0-kg uniform cylindrical roller, initially at rest, is acted upon by a 90-N force as shown. Knowing that the body rolls without slipping, determine (a) the velocity of its center G after it
Dynamics Kinetics of a particle Section 4: TJW Force-mass-acceleration: Example 1
Section 4: TJW Force-mass-acceleration: Example 1 The beam and attached hoisting mechanism have a combined mass of 1200 kg with center of mass at G. If the inertial acceleration a of a point P on the hoisting
A-level Mathematics. MM03 Mark scheme June Version 1.0: Final
-leel Mathematics MM0 Mark scheme 660 June 0 Version.0: Final Mark schemes are prepared by the Lead ssessment Writer and considered, together with the releant questions, by a panel of subject teachers.
1 A freight car of mass 20,000 kg moves along a frictionless level railroad track with a constant speed of 15 m/s. What is the momentum of the car?
Slide 1 / 26 1 freight car of mass 20,000 kg moves along a frictionless level railroad track with a constant speed of 15 m/s. What is the momentum of the car? 30,000 kg m/s 3,000 kg m/s 300,000 kg m/s
If 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
Unit 7, 8, 9 Physics Review
Unit 7, 8, 9 Physics Review 1. A 2 kg mass is held 4 m above the ground. What is the approximate potential energy due to gravity of the mass with respect to the ground? a. 20 J. b. 40 J. c. 60 J. d. 80
Physics Momentum. CQ8. A train and a bird are both moving with the same velocity of 50 m/s. Compare their momenta.
Homework Procedure: Read pages specified in Honors Physics Essentials by Dan Fullerton. Questions labeled TQ will be questions about the text you read. These TQ s can be answered in one word, one phrase,
Kinematics. Exam-style assessment
1 Exam-style assessment Kinematics 1. golfer hits a ball from a point O on a horizontal surface. The initial velocity of the ball is 35 m s -1 at an angle of 40 to the horizontal. (a) Calculate the maximum
Exam 2: Equation Summary
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.01 Physics Fall Term 2012 Exam 2: Equation Summary Newton s Second Law: Force, Mass, Acceleration: Newton s Third Law: Center of Mass: Velocity
OCR Maths M2. Topic Questions from Papers. Collisions
OCR Maths M2 Topic Questions from Papers Collisions 41 Three smooth spheres A, B and C, ofequalradiusandofmassesm kg, 2m kg and 3m kg respectively, lie in a straight line and are free to move on a smooth
weight (Total 1 mark)
Q1.Which one of the following has the same unit as the rate of change of momentum? B work energy acceleration weight Q2.The nucleus of a radioactive isotope X is at rest and decays by emitting an α particle
Outline. 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
Today s topic: IMPULSE AND MOMENTUM CONSERVATION
Today s topic: IMPULSE ND MOMENTUM CONSERVTION Reiew of Last Week s Lecture Elastic Potential Energy: x: displacement from equilibrium x = 0: equilibrium position Work-Energy Theorem: W tot W g W el W
Ballistic Pendulum. Caution
Ballistic Pendulum Caution In this experiment a steel ball is projected horizontally across the room with sufficient speed to injure a person. Be sure the line of fire is clear before firing the ball,
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
A. 50 N B. 100 N C. 20 N D. 0 N E. 500 N
SQ1: A 0.05-kg tennis ball moving to the right with a speed of 10 m/s is struck by a tennis racket, causing it to move to the left with a speed of 10 m/s. If the ball remains in contact with the racquet
A. unchanged increased B. unchanged unchanged C. increased increased D. increased unchanged
IB PHYSICS Name: DEVIL PHYSICS Period: Date: BADDEST CLASS ON CAMPUS CHAPTER B TEST REVIEW. A rocket is fired ertically. At its highest point, it explodes. Which one of the following describes what happens
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 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 Ans: (a)](/thumbs/83/87594074.jpg "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 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
1. The diagram below shows the variation with time t of the velocity v of an object.
1. The diagram below shows the variation with time t of the velocity v of an object. The area between the line of the graph and the time-axis represents A. the average velocity of the object. B. the displacement
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
Momentum & Energy Review Checklist
Momentum & Energy Review Checklist Impulse and Momentum 3.1.1 Use equations to calculate impulse; momentum; initial speed; final speed; force; or time. An object with a mass of 5 kilograms is moving at
AP 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
EXPERIMENT 8 BALLISTIC PENDULUM. Figure 1 Setup to determine the initial speed of the projectile using the Blackwood Pendulum
EXPERIMENT 8 BALLISTIC PENDULUM I. Introduction. The objectie of this eperiment is to determine the initial elocity of a projectile fired from a gun by two methods. In the first the projectile undergoes
An Accelerating Hockey Puck
Example 5.1 An Accelerating Hockey Puck A hockey puck having a mass of 0.30 kg slides on the frictionless, horizontal surface of an ice rink. Two hockey sticks strike the puck simultaneously, exerting
The total momentum in any closed system will remain constant.
The total momentum in any closed system will remain constant. When two or more objects collide, the collision does not change the total momentum of the two objects. Whatever momentum is lost by one object
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
Momentum. 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
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
Part 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
As the mass travels along the track, the maximum height it will reach above point E will be closest to A) 10. m B) 20. m C) 30. m D) 40.
1. As a pendulum swings from position A to position B as shown in the diagram, its total mechanical energy (neglecting friction) A) decreases B) increases C) remains the same 2. Base your answer to the
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
The diagram below shows a block on a horizontal frictionless surface. A 100.-newton force acts on the block at an angle of 30. above the horizontal.
Name: 1) 2) 3) Two students are pushing a car. What should be the angle of each student's arms with respect to the flat ground to maximize the horizontal component of the force? A) 90 B) 0 C) 30 D) 45
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
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
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
Lecture 18: Work and Energy. Today s Agenda
Lecture 18: Work and Energy Work and Energy Definition of work Examples Today s Agenda Definition of Mechanical Energy Conservation of Mechanical Energy Conservative forces Physics 201: Lecture 10, Pg
AE 688 Dynamics And Vibration Assignment No. 2. with the brakes slightly applied so that the speed v is constant. The slope decreases abruptly to θ
AE 688 Dynamics And Vibration Assignment No. 1. A car is descending the hill of slope θ 1 with the brakes slightly applied so that the speed v is constant. The slope decreases abruptly to θ at point A.
(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
Momentum = mass x velocity. units are kg m/s, or any mass velocity combo. Impulse is the change in momentum. impulse
Momentum & Impulse Momentum = mass x velocity p m v units are kgm/s, or any mass velocity combo Impulse is the change in momentum impulse = p impulse m v The 2 nd Law of Motion says any unbalanced force
EXERCISE 01. JEE-Physics CHECK YOUR GRASP
J-Physics XRIS 1 HK YOUR GRSP Select the correct alternatie (only one correct answer) 1. On account of the earth rotating about its axis :- the linear elocity of objects at equator is greater than at other
Ballistic Pendulum. Equipment- ballistic pendulum apparatus, 2 meter ruler, 30 cm ruler, blank paper, carbon paper, masking tape, scale PRECAUTION
Ballistic Pendulum Equipment- ballistic pendulum apparatus, 2 meter ruler, 30 cm ruler, blank paper, carbon paper, masking tape, scale PRECAUTION In this experiment a steel ball is projected horizontally