A sphere A of mass m moving with a constant velocity u hits another stationary sphere B of the same mass. If e is the coefficient of restitution, then the ratio of the velocity of A and B 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
mv1+mv2=muv1+v2=u…(1)v2-v1=eu…(2)v1=u2(1−e) and v2=u(1+e)2v1v2=1−e1+e