Answer to Question #299246 in Classical Mechanics for Mafydre

Question

A pile of mass 50kg is being driven into the ground by a hammer of mass 400kg. If the hammer is dropped through a height of 3.5m, there is no obersaable rebound, and the average resistive force of the ground on the pile is 50kN, calculate the distance the pile sinks into the ground

Answer 1

$m_1gh_1=(m_2g+F)h_2,$

$h_2=\frac{m_1gh_1}{m_2g+F}=27.7~cm.$