Coins Collided!

Classical Mechanics Level 3

Of five identical coins (they are circular), four are placed on the vertices of a regular hexagon in the above fashion. The fifth one on the bottom left moves to the right with horizontal velocity \(24\text{ ms}^{-1}\), to collide with the coin at the bottom right vertex along the line joining their centers.

Find the magnitude of velocity \((\)in \(\text{ms}^{-1})\) with which the coin on the top-left edge leaves the hexagon (the horizontal velocity, to be precise).

Details and Assumptions:

  • Consider all the surfaces to be smooth.
  • Consider all the collisions to be elastic.
  • Answer in SI units.

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