A hockey player with a mass of 51.5 kg is traveling due east with a speed of 3.35 m/s. A second hockey player with a mass of 72.5 kg is moving due south with a speed of 7.50 m/s. They collide and hold on to each other after the collision, managing to move off at an angle south of east, with a speed of v_f. Assume friction may be ignored and determine the following.

(a) the angle ___________ south of east (b) the speed v_f

_________m/s