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  4. A body of density ρ and volume V is lifted through height h in a liquid of density σ(<ρ). The increase in potential energy of the body is

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Q. A body of density $\rho$ and volume $V$ is lifted through height $h$ in a liquid of density $\sigma(<\rho)$. The increase in potential energy of the body is

Work, Energy and Power

Solution:

Weight of body $=V \rho g$ Buoyant force $=V \sigma g$
$\Delta U=-W_{c}=-\left(W_{\text {wt }}+W_{\text {Buoyant force }}\right)$
Here, $\Delta U=-[-(V \rho g) h+(V \sigma g) h]$
$=V(\rho-\sigma) g h$
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