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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