1. An 80.0-kg astronaut is floating at rest a distance of 10.0 m from a spaceship when she runs out of oxygen and fuel to power her back to the spaceship. She removes her oxygen tank (3.0 kg) and flings it into space away from the ship with a speed of 15 m/s. At what speed does she recoil toward the spaceship?

2. An 0.08-kg arrow moving at 80.0 m/s hits and embeds in a 10.0-kg block resting on ice. Use the conservation-of-momentum principle to determine the speed of the block and arrow just after the collision.