A smooth sphere 4, of mass 3m, moving on a smooth horizontal table , with speed 4u, impinges directly on another smooth sphere B, of mass 2m, moving with speed u in the opposite direction to A. The coefficient of restitution 2. between A and B is e. (a) Find, in terms of e and u, the speed of B after the impact. If immediately after the collision the speed of A is 4u (b) show that e- (c) find the impulse exerted on A by the impact. At the moment of impact, the line of centres of the spheres is perpendicular to a vertical wall which is at a distance x from the point of collision and nearer to B than to 4, and B subsequently collides with the wall. (d) Find, in terms of x, the distance of A from the wall at the instant when B hits the wall.

A smooth sphere 4, of mass 3m, moving on a smooth horizontal table , with speed 4u, impinges directly on another smooth sphere B, of mass 2m, moving with speed u in the opposite direction to A. The coefficient of restitution 2. between A and B is e. (a) Find, in terms of e and u, the speed of B after the impact. If immediately after the collision the speed of A is 4u (b) show that e- (c) find the impulse exerted on A by the impact. At the moment of impact, the line of centres of the spheres is perpendicular to a vertical wall which is at a distance x from the point of collision and nearer to B than to 4, and B subsequently collides with the wall. (d) Find, in terms of x, the distance of A from the wall at the instant when B hits the wall.