Ball Fall

A ball of density $\rho$ is dropped from rest at a height $H$ into a lake of water with density $\sigma$ such that $\sigma > \rho$. Neglecting damping forces, calculate the maximum depth to which the body sinks before turning around.

Assumptions

• $H\gg r_{\rm{ball}}$, i.e. the ball has some infinitesimal volume $dV$.
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