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Sphere A of mass m moving with a constan...

Sphere A of mass `m` moving with a constant velocity `u` hits another stationary sphere B of the same mass. If `e` is the co-efficient of restitution, then ratio of velocities of the two spheres `v_(A):v_(B)` after collision will be :

A

`((1-e)/(1+e))`

B

`((1+e)/(1-e))`

C

1

D

none of these

Text Solution

Verified by Experts

Using formula, `v_(1)=(m_(1)-em_(2))/(m_(1)+m_(2))` and `v_(2)=(em_(1)(1+e))/(m_(1)+m_(2))`
`rArr (v_(1))/(v_(2))=(m_(1)-em_(2))/(m_(1)(1+e))`
By putting `m_(1)=m_(2)=m` we obtain `(v_(1))/(v_(2))=(1-e)/(1+e)`
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