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Two identical balls collide head on. The initial velocity of one is 0.75 ms^-1, while that of the other is -0.43ms^-1. If the collision is perfectly elastic, then their respective final velocities are

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-0.43ms^-1; 0.75ms^-1

-0.75ms^-1; 0.43ms^-1

0.43ms^-1; 0.75ms^-1

0.75ms^-1; -0.43ms^-1

answer is B.

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Detailed Solution

$\vec{v_{1}} = (\frac{m_{1} - m_{2}}{m_{1} + m_{2}}) \vec{u_{1}} + (\frac{2 m_{2}}{m_{1} + m_{2}}) \vec{u_{2}} \vec{v_{2}} = (\frac{2 m_{1}}{m_{1} + m_{2}}) \vec{u_{1}} + (\frac{m_{2} - m_{1}}{m_{1} + m_{2}}) \vec{u_{2}}$

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