Prove that in a one-dimensional elastic collision of two equal masses, the particles simply exchange velocities during collisions.

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 9.32P
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Prove that in a one-dimensional elastic collision of two equal masses, the particles simply exchange velocities during collisions.

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