Betty Bodycheck (mB = 60.3 kg, vB = 22.0 km/h in the positive x-direction) and Sally Slasher (mS = 44.5 kg, vS = 28.0 km/h in the positive y-direction) are both racing to get to a hockey puck. Immediately after the collision, Betty is heading in a direction that is 76.0° counterclockwise from her original direction, and Sally is heading back and to her right in a direction that is 12.0° from the x-axis. What are Betty's and Sally's final kinetic energies?
I tried calculating the final velocities and then solving for final kinetic energy for each player from there and have exhausted all of the equations given in the book. Any hint on how to proceed?