Two equal masses collide in space away from any gravitational object. Mass A is moving in a straight line at 45 m/s and mass B is initially at rest. After the collision mass A is traveling along a path that makes a +30o angle with its initial direction of motion, and mass B is traveling at an angle of -45o relative to A's initial motion.
(a) Find the speeds of the two masses after the collision.
(b) What is the change in kinetic energy of the system because of the collision?