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.

• ${ M }_{ 1 }=\pi \text{ kg}$ .