A heavy ball of radius R is travelling on a smooth horizontal surface with a velocity of u0 towards left. A horizontally moving small ball of mass mstrikes it at a height (R)/(2) above the centre whiletravelling with velocity u towards right. (a) After collision the small ball moves in vertically upwards direction with velocity u.Prove that this can happen only if ugt sqrt(3)u_(0) (b) Find the velocity of small ball after collision if the collision is elastic and the balls are smooth.

A heavy ball of radius R is travelling on a smooth horizontal surfac

1.	A heavy ball of radius R is travelling on a smooth horizontal surface with a velocity of u0 towards left. A horizontally moving small ball of mass mstrikes it at a height (R)/(2) above the centre whiletravelling with velocity u towards right. (a) After collision the small ball moves in vertically upwards direction with velocity u.Prove that this can happen only if ugt sqrt(3)u_(0) (b) Find the velocity of small ball after collision if the collision is elastic and the balls are smooth.
Answer» Answer :(B) `SQRT(U^(2)+3u_(0)^(2)+3u u_(0))`