A block of volume V and density sigma_b is pl | vedclass

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(C) When the block is moved upward by a height $h$ within the liquid,the system consists of the block and the displaced liquid.The change in potential

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$(\sigma_b - \sigma_l) Vgh$

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(C) When the block is moved upward by a height $h$ within the liquid,the system consists of the block and the displaced liquid.The change in potential energy of the block is $\Delta U_b = m_b gh = (\sigma_b V) gh$.As the block moves up,an equal volume $V$ of liquid moves down by height $h$ to fill the space previously occupied by the block. The change in potential energy of the displaced liquid is $\Delta U_l = -m_l gh = -(\sigma_l V) gh$.The total change in gravitational potential energy of the system is $\Delta U = \Delta U_b + \Delta U_l$.$\Delta U = (\sigma_b V) gh - (\sigma_l V) gh = (\sigma_b - \sigma_l) Vgh$.

$A$ block of volume $V$ and density $\sigma_b$ is placed in a liquid of density $\sigma_l$ (where $\sigma_l > \sigma_b$). If the block is moved upward by a height $h$ while remaining completely submerged in the liquid,what is the increase in the gravitational potential energy of the system?

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