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Q.

A balloon of mass M is descending at a constant acceleration α. When a mass m is released from the balloon, it starts rising with the same acceleration α. Assuming that its volume does not change, what is the value of m ?

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a

αα+gM

b

2αα+gM

c

α+gαM

d

α+g2αM

answer is B.

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Detailed Solution

Suppose F = upthrust due to buoyancy                    Then while descending, we findMg − F = Ma              iWhen ascending, we haveF − M − mg = M − ma                    iiSolving Eqs. (i) and (ii), we get m=2αα+gM
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