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

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1−e1+e

1+e1−e

e+1e−1

e−1e+1

answer is A.

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Detailed Solution

e=V2−V1u1−u2=V2−V1u or eu=V2−V1 Here collision is head on i.e., u=v1+v2 Solving these equations, we get v1=(1−e)u2 and v2=(1+e)u2 ∴ v1v2=1−e1+e

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