Five coins on a table

Classical Mechanics Level 3

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

Find the magnitude of velocity with which the coin on top-left edge leaves the hexagon (horizontal velocity, to be precise*).

\(\textbf{Details and Assumptions}\)

Consider all surfaces to be smooth.
Consider all collisions to be elastic.
Answer in SI Units.

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