Q.

A sphere of mass m moving with a constant velocity u hits another stationary sphere of same mass. If e is the coefficient of restitution, then ratio of velocitiesv2v1 of the two spheres after collision will be

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Detailed Solution

Applying conservation of linear momentummu=mv1+mv2    u=v1+v2 ......1The coefficient of restitution      e=v1−v2u .......2Solving these two equations, we get      v1=1+e2u        v2=1−e2u   ∴v2v1=1−e1+e
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