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Questions  

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 its
volume does not change, what is the value of m? 

a
aa+gM
b
2aa+gM
c
a+gaM
d
a+g2aM

detailed solution

Correct option is B

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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