Question
A sphere of mass m moving with velocity v hits inelastically with another stationary sphere of same mass. The ratio of their final velocities will be (in terms of e)
Solution
B.
As coefficient of restitution,
e =
=
⇒ v2 - v1 = eu ...... (i)
By conservation of momentum,
Momentum before collision = Momentum after collision
m u = mv1 + mv2
⇒ v1 + v2 = u ......(ii)
On solving Eqs. (i) and (ii), we get
v1 = ( 1 e )
and v2 = ( 1 + e )
∴
