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

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

1. A

5kg

2. B

10 kg

3. C

6 kg

4. D

3 kg

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### Solution:

Let constant force acting upward  on the balloon is F

$160-\mathrm{F}=16×\frac{\mathrm{g}}{2}⇒\mathrm{F}=80\mathrm{N}$

Let the mass of balloon after removing some be m.

balloon moves upward due to force F with acceleration

$\mathrm{F}-\mathrm{mg}=\mathrm{m}\frac{\mathrm{g}}{3}$

$⇒\mathrm{F}=\frac{4\mathrm{mg}}{3}⇒\mathrm{m}=6\mathrm{kg}$

So, the mass removed from the balloon will be 16-6=10kg

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