We found that if a cue ball, rolling without slipping at speed v0, strikes an identical, stationary billiard ball head-on, eventually both balls will roll without slipping. The balls are uniform solid spheres, each of mass m, radius r, and moment of inertia I =2/5 m r^2 about its center. The final speed of the target ball is 5/7 *v0 ; that of the cue ball is 2/7 v0. Calculate the total fraction of the initial kenetic energy of the cue ball dissipated by frictional forces between the felt of the table and the two balls spinning or sliding, before they finally attain rolling without slipping at their respective final speeds.