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A man of mass m on an initially stationary boat gets off of the boat by leaping to the left in an exactly horizontal direction. Immediately after the leap, the boat of mass M is observed to be moving to the right at speed v. Mark the incorrect statements. (Neglect friction offered by water on boat)

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Work done by man on boat is $\frac{1}{2} (m) v^{2}$

Total work done by man is $(\frac{M^{2}}{m} + M) v^{2}$

Velocity of center of mass of system is zero

Work done by man on boat is $\frac{1}{2} \frac{M^{2}}{m} v^{2}$

answer is A, B, D.

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