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Question: A mass m moves with a velocity v and collides in elastically with another identical mass. After coll...

A mass m moves with a velocity v and collides in elastically with another identical mass. After collision first mass moves with velocity v/√3 in a direction perpendicular to the initial direction of motion. Find the speed of second mass after collision.

A

v

B

√3 v

C

2v/√3

D

v/√3

Answer

2v/√3

Explanation

Solution

mv = mv' cos θ, 0 = (mv/√3) – mv' sin θ

or v-2[cos2θ + sin2θ] = v2 + (v2/3)or v' = (2v2/√3)