Billiard Balls
Two identical billiard balls are in contact on a table. A third identical ball strikes them symmetrically and comes to rest after impact. The coefficient of restitution is . Find the value of where is a positive integer.
The answer is 2.
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1 solution
By symmetry both the billiard balls will move with the same velocity along their respectively lines of impact .
By momentum conservation along the line of impact. mu=2mvcos30 =2mv.3√2 u=3√v Newton's law of restitution along line of impact.
e=23