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Question

A balloon of mass M is descending with a constant acceleration g/3 when a mass m is released from the balloon it starts rising with the same acceleration g/3. The value of m is (Assuming that its volume does not change):-

A
M2
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B
M4
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C
4M
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D
2M
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Solution

The correct option is

C

M2


Diagram for the given situation


While descending the force acting on the balloon,

R=M(ga)R=M(gg3)R=2Mg3
While rising,
R=(Mm)(g+a)2Mg3=(Mm)(g+g3)=(Mm)4g3M=(Mm)2M2=Mmm=M2
Mass to be removed =M2

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