bodies with mass ratio 3:4:5

Three small bodies with mass ratio 3:4:5(mass of the lightest body being 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.The three bodies are released at the same instant.All subsequent collisions are perfectly inelastic.

I) Find the maximum amount of heat, Q that can be liberated in such a system.

II) For the amount of heat generated in the system to be maximum, find the initial distance between the lightest and the heaviest body.

III)For the amount of heat generated in the system to be maximum, find the initial distance between the bodies of masses m and 4m3.