Question

A ball filled with air has a volume of
500 cm3. Calculate the minimum force
applied by a child to put it completely
inside the water. (Take, g = 10 ms-2)​

Answer 1

Explanation:

volume of balloon (v)= 500cm³

If it is completely immersed in water, it will displace the same volume water.

So buoyant force would act on it in the upward direction.The child need to apply same amount of force as buoyant force to put it inside.

density of water = 1 g/cm³

buoyant force =ρgv

pv = 1 g/cm ³ × 500 cm ³ = 500g =0.5kg

buoyant force= pvg =0.5 × 10= 5N

So the child needs to apply 5N force to put it completely inside water.

(Note: The density of air is negligible compared t density of water. So you should ignore the mass of air.)

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