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A rubber ball dropped from a height of $20 m$ $(g = 10 m / s^{2})$ falls on the roof of an elevator going up at $1 m / s$ . If the collision of the ball with the elevator is elastic, the ball rebounds with a velocity of

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$10 m / s$

$11 m / s$

$- 22 m / s$

$13 m / s$

answer is C.

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Detailed Solution

$m_{1} < < m_{2}$

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

$= - u_{1} - 2 u_{2} \Rightarrow - 20 - 2 = - 22 m s^{- 1}$

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