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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