A body of mass 'M' moving with a speed of 'u' has a head-on collision with a body of mass 'm' originally at rest. If M >> m, then the speed of the body of mass 'm' after the collision, will be nearly

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Solution

The correct option is D
If two objects of masses $m_{1} a n d m_{2}$ collide elastically moving with velocities , velocities $u_{1} a n d u_{2}$ after collision will be
$v_{1} = (\frac{m_{1} - m_{2}}{m_{1} + m_{2}}) u_{1} + \frac{2 m_{2} u_{2}}{m_{1} + m_{2}} a n d v_{2} = (\frac{m_{2} - m_{1}}{m_{1} + m_{2}}) u_{2} + \frac{2 m_{1} u_{1}}{m_{1} + m_{2}}$
$I f m_{1} >> m_{2}, v_{1} = u_{1} a n d v_{2} = 2 u_{1} - u_{2}$
$A s, u_{1} = u a n d u_{2} = 0. v e l o c i t y o f t a r g e t a f t e r c o l l i s i o n w o u l d b e 2 u$

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