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The first ball of mass m moving with the...

The first ball of mass `m` moving with the velocity `upsilon` collides head on with the second ball of mass `m` at rest. If the coefficient of restitution is `e`, then the ratio of the velocities of the first and the second ball after the collision is

A

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

B

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

C

`(1 + e)/2`

D

`(1 - e)/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `V_1 and V_2` be velocity of 1st and 2nd ball after collision
`implies mu = mv_1 + mv_2 and v_2 - v_1 = eu =< v_1 = (1 - e) u/2 and v_2 = (1 + e) u/2 implies (v_1)/(v_2) = (1 - e)/(1 + e)` .
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