A rectangular block of density floats in a liquid of density with exactly half of its…

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

A rectangular block of density ρb\rho_b floats in a liquid of density ρℓ\rho_{\ell} with exactly half of its volume submerged when the container is at rest. The container is then given an upward acceleration of magnitude aa. Derive an expression for the fraction ff of the block’s volume that is submerged during the acceleration in terms of ρb, ρℓ, a\rho_b,\,\rho_{\ell},\,a, and gg.

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