In an elastic collision of particles, one particle is stationary and another one is moving to the particle at speed u. After colliding, particle 1 and 2 moves at two different velocity, say v1 and v2. Why is the angle between v1 and v2 must be 90 degrees if the resulting particles and the initial particles all have the same mass?

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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In an elastic collision of particles, one particle is stationary and another one is moving to the particle at speed u. After colliding, particle 1 and 2 moves at two different velocity, say v1 and v2. Why is the angle between v1 and v2 must be 90 degrees if the resulting particles and the initial particles all have the same mass?

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