Ball Fall

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

Assumptions

  • HrballH\gg r_{\rm{ball}}, i.e. the ball has some infinitesimal volume dVdV.
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