Sphere A of mass m and radius r rolls without slipping with a velocity V on a horizontal surface when it hits squarely an identical sphere B that is at rest. Denoting by the coefficient of kinetic friction between the spheres and the surface, neglecting friction between the spheres, and assuming perfectly elastic impact, determine (a) the linear and angular velocities of each sphere immediately after the impact, (b) the velocity of each sphere after it has started rolling uniformly. Fig. P17.132 B