# 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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