A steel ball of mass m (kg) is held at a distance h (m) above a massless rigid tabletop supported by un-damped springs whose equivalent stiffness is k (N/m). If the ball is left to fall from rest on the tabletop. Deduce an expression for the velocity at which the ball will bounce back off the tabletop. On its way back, will the mass bounce back to its initial height? If it will not, where will the difference in energy go? Discuss mathematically!
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