(a) A ball of clay with a mass of 40 g, traveling east at 3.0 m/s, collides with a 30 g ball of clay traveling north at 1.5 m/s, and they stick together. What are the speed and the direction (with an angle in degrees) of the resulting 70 g ball of clay?
(b) A billiard ball is moving east at 3.0 m/s. A second, identical billiard ball is shot west at 1.8 m/s. The balls have a glancing collision (not a head-on collision) that deflects the second ball's direction by 90 degrees and sends it north at 2.27 m/s. What are the speed and direction of the first ball after the collision?