# Aditya's challenges in Mechanics 5

Classical Mechanics Level 5

There is a fixed hemispherical cup of radius $$R=1 \text{ m}$$. There are 5 point sized balls each of mass $$m=1 \text{ kg}$$ randomly placed inside the cup. The system is set free so that the balls may collide. What is the maximum heat (in Joules) produced due to collisions?

Details and Assumptions:

• $$g=10 \text{ ms}^{-2}$$.

• Coefficient of restitution for each collision $$e=0$$.

• This is a theoretical problem.

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