Three small bodies with the mass ratio 3 : 4: 5 (the mass of the lightest body is m) are kept at three different points on the inner surface of a smooth hemispherical cup of radius r. The cup is fixed at its lowest point on a horizontal surface. At a certain instant, the bodies are released. Determine the maximum amount of heat Q that can be liberated in such a system.At what initial arrangement of the bodies will the amount of liberated heat be maximum ? Assume that collisions are perfectly inelastic.