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Question

A balloon with its contents weighing 160 N is moving down with an acceleration of g/2ms−2. The mass to be removed from it so that the balloon moves up with an acceleration g/3ms−2 is:

A
5kg
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B
10 kg
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C
6 kg
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D
3 kg
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Solution

The correct option is D 10 kg
Initial Weight of balloon is 160 N (16kg)
first case
balloon moves down with an acceleration g2ms2
Let constant force acting upward on the balloon is F
160F=16×g2
F=80N
Second case
Let final mass of the balloon is m
balloon moves upward due to force F with acceleration g3ms2
Fmg=mg3
F=4mg3
80=4×m×103
m=6kg

So, the mass removed from the balloon will be:
m=166 kg
m=10 kg
Correct option is B.

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