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A ball impinges directly on another ball...

A ball impinges directly on another ball at rest. The first ball is brought to rest by the impact. If half of the kinetic energy is lost by the impact, the value of coefficient of restitution is

A

`1//sqrt(2)`

B

`1//2`

C

`1//3`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
Let `m_1 and m_2` be masses of the two balls & u & v are initial and final velocities.
`implies m_1u = m_2v and 1/2 m_2v^2 = 1/3 cdot 1/2 m_1 u^2 implies v = 1/3 u implies e = 1/3`.
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