JEE Main Physics question

PhysicsWork, Energy and PowerJEE Main

A body of mass M is dropped from a height h on a sand floor. If the body penetrates x cm into the sand, the average resistance offered by the sand to the body is

Answer: (B)

Solution

By the work-energy theorem (initial and final KE both zero): Mg(h+x) = F·x ⟹ F = Mg(h+x)/x = Mg(1+h/x).

Question ID VK-153738