A ball moving with a velocity $v$ strikes a wall moving towards the ball with a velocity $u$ as shown in fig. An elastic impact occurs. Consider the mass of the wall to be infinitely great. The work done by the wall during collision is

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$2 m u (v + u)$

$m v^{2}$

$\frac{1}{2} m v^{2} + \frac{1}{2} m u^{2}$

$m {(v + u)}^{2}$

answer is A.

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Detailed Solution

Initial K.E $= \frac{1}{2} m v^{2}$ ; Final K.E $= \frac{1}{2} m {(v + 2 u)}^{2}$

$\frac{1}{2} m v^{2} + Δ W = \frac{1}{2} m {(v + 2 u)}^{2} Δ W = \frac{m}{2} .4 u^{2} + 2 m v u = 2 m u (u + v)$

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