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Perfectly Elastic Collision

A smooth sphe...

Question

A smooth sphere of mass 'M' moving with velocity 'u' directly collides elastically with another sphere of mass 'm' at rest. After collision their final velocities are 'V' and 'v' respectively. The value of 'v' is

A

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B

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C

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D

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Solution

The correct option is C

$v_{2} = (\frac{m_{2} - m_{1}}{m_{1} + m_{2}}) u_{2} + \frac{2 m_{1} u_{1}}{m_{1} + m_{2}} = \frac{2 M u}{M + m} = \frac{2 u}{1 + \frac{m}{M}}$

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