Two particles A and B, of masses 3.2 kg and 2.4 kg respectively, lie on a smooth horizontal table. A moves towards B with a speed of v m/s and collides with B, which is moving towards A with a speed of 6 m/s. In the collision the two particles come to rest.

(a) Find the value of v.

(b) Find the loss of kinetic energy of the system due to the collision.