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A body A of mass m moving with velocity u makes an elastic head-on collision with an identica body B which is initially at rest. (a) Describe in words the motion of the bodies after the collision. (b) The elastic collision mentioned above is one in which the bodies become temporarily compressed and remain in contact for a short time. On the same axes of velocity against time, sketch labelled graphs of velocity of A and the velocity of B. The time axis should extend from a time before the bodies come into contact to a time after they separate; mark on this axis the time to at which they first touch, the time to at which they suffer maximum compression and the time ts at which they separate. (c) Explain why bodies have the same velccity at to (the time of maximum compression). (d) What is the velocity of the two bodies at fo? (e) Hence, find in terms of m and u, the total kinetic energy of the bodies at to and again at a time after they have completely separated. (f) Account for the difference between the energies in (e)

A body A of mass m moving with velocity u makes an elastic head-on collision with an identica body B which is initially at rest. (a) Describe in words the motion of the bodies after the collision. (b) The elastic collision mentioned above is one in which the bodies become temporarily compressed and remain in contact for a short time. On the same axes of velocity against time, sketch labelled graphs of velocity of A and the velocity of B. The time axis should extend from a time before the bodies come into contact to a time after they separate; mark on this axis the time to at which they first touch, the time to at which they suffer maximum compression and the time ts at which they separate. (c) Explain why bodies have the same velccity at to (the time of maximum compression). (d) What is the velocity of the two bodies at fo? (e) Hence, find in terms of m and u, the total kinetic energy of the bodies at to and again at a time after they have completely separated. (f) Account for the difference between the energies in (e)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A body A of mass m moving with velocity u makes an elastic head-on collision with an identical body B which is initially at rest. (a) Describe in words the motion of the bodies after the collision. (b) The elastic collision mentioned above is one in which the bodies become temporarily compressed and remain in contact for a short time. On the same axes of velocity against time, sketch labelled graphs of velocity of A and the velocity of B. The time axis should extend from a time before the bodies come into contact to a time after they separate; mark on this axis the time to at which they first touch, the time to at which they suffer maximum compression and the time ts at which they separate. (c) Explain why bodies have the same velocity at to (the time of maximum compression). (d) What is the velocity of the two bodies at fo? (e) Hence, find in terms of m and u, the total kinetic energy of the bodies at to and again at a time after they have completely separated. (f) Account for the difference between the energies in (e).
Transcribed Image Text:A body A of mass m moving with velocity u makes an elastic head-on collision with an identical body B which is initially at rest. (a) Describe in words the motion of the bodies after the collision. (b) The elastic collision mentioned above is one in which the bodies become temporarily compressed and remain in contact for a short time. On the same axes of velocity against time, sketch labelled graphs of velocity of A and the velocity of B. The time axis should extend from a time before the bodies come into contact to a time after they separate; mark on this axis the time to at which they first touch, the time to at which they suffer maximum compression and the time ts at which they separate. (c) Explain why bodies have the same velocity at to (the time of maximum compression). (d) What is the velocity of the two bodies at fo? (e) Hence, find in terms of m and u, the total kinetic energy of the bodies at to and again at a time after they have completely separated. (f) Account for the difference between the energies in (e).
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