1. Considering a glancing collision between a cue ball of mass m moving at initial velocity u and a target ball of the same mass initially at rest. This results in a two-dimensional collision with the cue ball's final velocity v making an angle with the target ball's final velocity w. Show explicitly that the collision is elastic if and only if 0 = = 90°.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.36P: In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2...
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1. Considering a glancing collision between a cue ball of mass m moving at initial velocity u and a target
ball of the same mass initially at rest. This results in a two-dimensional collision with the cue ball's final
velocity v making an angle with the target ball's final velocity w. Show explicitly that the collision is
elastic if and only if 0 = = 90°.
Transcribed Image Text:1. Considering a glancing collision between a cue ball of mass m moving at initial velocity u and a target ball of the same mass initially at rest. This results in a two-dimensional collision with the cue ball's final velocity v making an angle with the target ball's final velocity w. Show explicitly that the collision is elastic if and only if 0 = = 90°.
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