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A body of mass 2.0 kg and density 8000 `(kg)/(m^3)` is completely dipped in a liquid of density 800 `(kg)/(m^3)`. Find the force of buoyancy on it.

Answer» Here, mass of the body in air, `M=2.0kg`
density of the body, `d=9000(kg)/(m^3)`
Density of the liquid, `d_l=800(kg)/(m^3)`
volume of the body, `V=(M)/(d)=(2.0kg)/(8000(kg)/(m^3))`
Volume of liquid displaced when the body is completely dipped in it `=` volume of the body `=2.5xx10^-4m^3`
mass of the liquid displaced, `m=Vd_l=(2.5xx10^-4m^3)(800(kg)/(m^3))=0.2kg`
weight of the liquid displaced, `W_l=mg=(0.2kg)(10(m)/(s^2))=2N`
Force of buoyancy, `F_B=W_l=2N`


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