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 velocities of the two spheres v1v2 after collision will be
A
1−2e1+2e
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B
1+e1−e
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C
2e+12e−1
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D
e−1e+1
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Solution
The correct option is B1+e1−e From conservation of linear momentum:
mu=mv1+mv2 or u=v1+v2.....(i) From definition of e: v1−v2=eu....(ii) Solving these two equatoins, we get v1=(1+e2)u and v2=(1−e2)u ∴v1v2=(1+e1−e)