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A system of men and trolley is shown in figure. To the left end of the string, a trolley of mass \( M \)
\( \mathrm{P} \) is connected on which a man of mass \( m \) is standing. To the right end of the string another trolley of mass \( m \) is connected on which
W a man of mass \( M \) is standing. Initially, the system is at rest. All of a sudden both the men leap upwards simultaneously with the same velocity \( u \) w.r.t. ground.
Find the impulse generated in the string connecting the trolleys during this process.
(1) \( \frac{M m u}{m+M} \)
(2) \( \frac{\left(M^{2}+m^{2}\right) u}{m+M} \)
(3) \( \frac{m^{2} u}{m+M} \)
(4) \( \frac{M^{2} u}{m+M} \)
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