1.) A 100 kg man and 50 kg woman on ice skates stand facing each other. If the woman pushes the man backward so that his final speed is 1 m/s, at what speed does she recoil?
2.) A 10 g marble slides to the left at a speed of 0.400 m/s on the frictionless, horizontal surface of an icy sidewalk and has a head-on, elastic collision with a larger 30 g marble sliding to the right at a speed of 0.200 m/s. Find the velocity of each marble after the collision.
3.) A 250 g arrow with a velocity of 17 m/s strikes a target and pierces the bull's-eye of a 6 kg target. What is the final velocity of the combined mass?
4.) A 5.70 g bullet moves at 200 m/s in a horizontal direction which was buried in a 175 g block resting on a floor. What is the velocity of the objects after the collision?