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Q.

A balloon of mass 10 kg is descending at a constant acceleration of 1 m/s2 .When a mass m is released from the balloon, its starts rising with acceleration 2 m/s2. Assuming that volume of the balloon remains unchanged and g=10 m/s2, value of m is

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a

1.75 kg

b

2.5 kg

c

0.75 kg

d

3.5 kg

answer is B.

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Detailed Solution

If B be the buoyant force acting on the balloon, then 10×10−B=10×1⇒B=90NAlso, B−(10−m)×10=(10−m)×2⇒10−m=9012⇒m=2.5 kg
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