In a game of billiards, the cue ball is traveling eastward when it strikes a second ball that is initially at rest. After the collision, the cue ball moves at 4.03 m/s, 25.0° south of east, and the second ball's speed is 3.59 m/s. At what angle (north of east) does the second ball travel? Assume each ball has a mass of 162 g. What was the speed of the cue ball prior to the collision? Is the kinetic energy of the colliding balls conserved?