Three-cushion billiards
On a frictionless plane, ball
moves with a velocity of
to collide elastically with two stopped balls
and
sequentially, as shown above. The masses of the three balls are the same as
As indicated by the red arrows, the direction of ball
's movement changes by an angle of
° each time there is a collision. What is the sum of the quantities of the impulses acting on ball
by balls
and
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