An elastic ball of mass 'm' is suspended from a fixed point 'O' by an inextensible string of length `2m`. A small particle of mass m moving downward at angle of `37^(@)` with the vertical hits the ball with `v_(0)`. The coefficient of restitution for collision is `4//5`. the velocity of the particle `v_(0)` such that ball just comoplete on revolution after the collision.

Answer

`00012.59`