Questions 6-10 don't have to go into detail just steps how to solve each. Thank you!

6. In a show, a 75.0-kg man swings from a 10.8m-long rope that is initially horizontal. At the lowest point of the swing, he picks up a 51.5-kg woman in a perfectly inelastic collision. Ignoring any frictional forces, how high would they reach in their upward swing? 7. A 0.045-kg bullet traveling at a speed of 456 m/s is fired vertically into a sponge with a mass of 0.0060kg that is initially at rest. Assuming that the bullet is embedded in the sponge, how high would the combined bullet and sponge rise after the perfectly inelastic collision? 8. In the billiard ball room at the basement of Memorial Union, two identical balls are traveling toward each other along a straight line which is chosen to the x-axis. They experience an elastic head-on collision. Ignoring any frictional forces, if one ball m, moving at a velocity of +4.67 m/s and the other my at a velocity of -7.89 m/s, what are the velocity (magnitude and direction) of each ball after the collision? 9. In the sun devil football game, a receiver, who is standing still, has caught a pass from the quarterback. Before he can move, a tackler, running at a velocity of +6.89 m/s, grabs him. The tackler holds onto the receiver, and the two head off with a velocity of +4.78 m/s. The mass of the tackler is 156 kg. Ignoring any frictional forces, what is the mass of the receiver? 10. A ball of mass 0.745 kg is dropped from rest from a height of 3.75 m. It rebounds from the ground and reaches a height of 1.78 m, what impulse (specify magnitude and direction) was delivered to the ball by the ground