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A balloon with mass 'm' is descending down with an acceleration 'a' (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration ‘a’ ?

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a

2mag+a

b

2mag−a

c

mag+a

d

mag−a

answer is A.

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Detailed Solution

Let upthrust of air be Fa, thenfor downward motionmg - Fa = mafor upward motionFa−(m−Δm)=(m−Δm)aTherefore, Δm=2mag+a

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A balloon with mass 'm' is descending down with an acceleration 'a' (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration ‘a’ ?