Physics

1. A cannon mounted on the back of a ship fires a 50.0 kg cannonball in the horizontal direction at a speed of 150 m/s. If the cannon and ship to which it is firmly attached have a mass of 4.00 x 103 kg and are initially at rest, what is the speed of the ship just after shooting the cannon. Ignore water resistance.
2. An 80.0-kg astronaut is floating at rest at 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?
3. A 2.10 x 103-lb sports car travelling east at 20.0 mi/h has a head-on collision with a 4.00 x 103-lb station wagon travelling west at 30.0 mi/h. If the vehicles remain locked together, what is their final velocity?
4. An 80.0=g 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.

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