6 2. Two particles, A and B, are moving in opposite directions along the same straight line on a smooth horizontal surface when they collide directly. Particle A has mass 5m and particle B has mass 3m. The coefficient of restitution between A and B is e, where e > 0 Immediately after the collision the speed of A is v and the speed of B is 2v. Given that A and B are moving in the same direction after the collision, (a) find the set of possible values of e. (8) Given also that the kinetic energy of A immediately after the collision is 16% of the kinetic energy of A immediately before the collision, (b) find (i) the value of e, (ii) the magnitude of the impulse received by A in the collision, giving your answer in terms of m and v. (6) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________