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Question

A body of volume 50 centimetre cube is completely immersed in water. Find the force of buoyancy on it.

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Solution

Force of buoyancy is given by

Fb = Weight of displaced water

= mg

But, m=density x volume

= ρV g

where ρ = density of the water

V = volume of displaced water = volume of block (here)

g = acceleration due to gravity

Given that,

V = 50 cm3

g = 981 cm/s2

ρ = 1 g/cm3

Fb = 1*50*981

= 49050 dyne

= 0.49 N


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