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Q.

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

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a

aa+gM

b

2aa+gM

c

a+gaM

d

a+g2aM

answer is B.

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Detailed Solution

Suppose F= upthrust due to buoyancyThen while descending, we findMg−F=Ma    …..(i)When ascending, we haveF−(M−m)g=(M−m)a    …….(ii)Solving Eqs. (i) and (ii), we get m=2aa+gM
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