In a billiard game, a cue ball of mass 180 g moving to the left at 4.75 m/s collides head-on with a stationary target ball of 165 g. If the collision between the balls is elastic,

Question

(a)
Show that the coefficient of restitution is equal to 1.

(b)
Show that the total kinetic energy
of the system is conserved before and after the collision.

(c)
If the collision between the
billiards lasts for 0.085 s, what is the magnitude and direction of the net force exerted on the target ball?