ANGLE OF DEFLECTION
Due to the density of the balls, the collisions between them are elastic. That is, momentum is conserved, opposed to an inelastic collision, where this is not the case (e.g. clay ball thrown at door). Because all of the balls have the same mass, that angle made by the balls after the collision is approximately 90 deg. This occurs because the sum of the momentum of the balls after the collision is equal to the momentum of the moving ball before the collision. The equation that was used in this case is:

P1i + P2i = P1f + P2f


where we understand that the vector of P1i is equal to the vector sum of P1f + P2f and P2i = 0 because the ball was not moving before the collision.

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