Two identical balls are in contact on a table . A third identical ball strike them symmeritically and come to rest after impact . The coefficient of restitution is? Thanks
1 Answer
Let
Let
As such initial momentum
At the time of impact, which is given as symmetrical, the three centers of balls make an equilateral triangle.
By symmetry, after impact, both stationary balls will move with equal velocity along their respectively lines of impact which make an angle of
Let
Due to Law of Conservation of momentum, the
From Newton's law of Restitution we know that coefficient of restitution
#e="relative velocity after the collision"/"relative velocity before the collision"# .....(2)
In the instant case we use velocity component of striking ball along the line of impact with one of balls
Using (1) we get