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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a
1−e1+e
b
1+e1−e
c
e+1e−1
d
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