3 Collision

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If the minimum value of \({M}_{2}\) For 3 Collisions to occur is \(\alpha\). Find \(\left\lfloor \alpha \right\rfloor \).

Details and Assumptions:

  • \( \lfloor \cdot \rfloor \) denotes the floor function.

  • Velocity is sufficient to perform 3 collisions.

  • All surfaces are smooth.

  • Collisions are elastic.

  • \({ M }_{ 1 }=\pi \text{ kg}\).

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