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The 'e' Equation

A particle of...

Question

A particle of mass $m_{1}$ , moves with velocity $v_{1}$ and collides with another particle at rest of equal mass. The velocity of the second particle after the elastic collision is

A

2 v_{1}

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B

v_{1}

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C

- v_{1}

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D

0

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Solution

The correct option is C $v_{1}$
For elastic collision
$v_{2} = (\frac{m_{2} - m_{2}}{m_{1} + m_{2}}) u_{2} + \frac{2 m_{1} v_{1}}{m_{1} + m_{2}}$
Because another body is initially at rest
i.e., $u_{2} = 0$
Velocity of the second particle
$v_{2} = \frac{2 m_{1} v_{1}}{2 m_{1}}$
$v_{2} = v_{1}$

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