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

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1/e

(1-e)/ (1+e)

e /(e+ 1)

(e+1)/e

answer is B.

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Detailed Solution

In case of collisionv2−v1u1−u2=e or v2−v1v=e ∴ v2−v1=ev Further, mv=mv1+mv2 V=V1+V2 Solving eas. (1) and (2). we get V1V2=(1−e)(1+e)

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