4 Skater A, mass 55.0 kg, moving at 14.0 m/s bumps into stationary Skater B, mass 65.0 kg. After the collision, Skater A moves at an angle of 53.1o from her original direction, while Skater B moves at an angle of 36.9o from Skater A's original direction. Both skaters move on the frictionless, horizontal surface of the rink.
(a) What are the final speeds of the two skaters?
(b) Is kinetic energy conserved? If not, what fraction of the initial kinetic energy is lost?