a lighter body collides with a much more massive body at rest. Prove that the direction of lighter body is reversed and massive body remains at rest.

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f o r o n e d i m e n s i o n a l e l a s t i c co l l i s i o n v e l o c i t i e s a f t e r t h e c o l l s i i o n i s g i v e n b y : V_{1} = \frac{(m_{1} - m_{2}) u_{1}}{m_{1} + m_{2}} + \frac{2 m_{2} u_{2}}{m_{1} + m_{2}} V_{2} = \frac{(m_{2} - m_{1}) u_{2}}{m_{1} + m_{2}} + \frac{2 m_{1} u_{1}}{m_{1} + m_{2}} \sin c e u_{2} = 0 a n d m_{1} < < m_{2} V_{1} = \frac{(\frac{m_{1}}{m_{2}} - 1) u_{1}}{\frac{m_{1}}{m_{2}} + 1} + 0 = - u_{1} v_{2} = 0 + \frac{2 m_{1} u_{1}}{m_{2} (\frac{m_{1}}{m_{2}} + 1)} \frac{2 (\frac{m_{1}}{m_{2}}) u_{1}}{1} \approx 0

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