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Question

A man of mass m is suspended in air by holding the rope of a balloon of mass M. As the man climbs up the rope, the balloon :

A
moves upward
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B
moves downward
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C
remains stationary
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D
cannot say anything
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Solution

The correct option is B moves downward
Net external force on the system of (man+ balloon) is zero, and centre of mass of the system is initially at rest.

So position of centre of mass will not change. Therefore to maintain xcm=constant the balloon will move downwards.

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