Q.

A sphere of mass m moving with a constant velocity v hits another stationary sphere of the same mass m. 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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a

1 /e

b

(1 -e) /(1+e)

c

e/(e+1)

d

(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 mv=mv1+mv2 or v=v1+v2 Solving eqs. (1) and (2), we get v1v2=(1−e)(1+e)
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A sphere of mass m moving with a constant velocity v hits another stationary sphere of the same mass m. If e is the coefficient of restitution, then the ratio of velocities of the two spheres, after the collision will be