Instructions: Solve each problem showing your work and indicating your answer in proper units.
1)A toy train of mass 2.0kg has a pebble of mass 0.2 kg sitting on top of it. The train is moving right at 2.0 m/s. What is the momentum of the system?
2)An ice skater with a mass of 60 kg holds his partner who has a mass of 40 kg in the air and moves forward with a velocity of 3.1 m/s. What is their momentum?
3)Car A has a mass of 2000kg and is traveling right at 30 m/s. Car B has a mass of 2500kg and is traveling right at 25 m/s. Which car has the greater momentum?
4)A dump truck has a momentum of 360,000 kg m/s and a velocity of 15 m/s. What is the mass of the truck?
5)A bullet has a momentum of 12 kg m/s and a mass of 0.050kg . What is its velocity?
6)A physics student runs with a momentum of 137.5 kg m/s. If the student has a velocity of 2.5 m/s, what is her mass?
7)A rollercoaster car with a mass of 5600 kg has passengers in it who have a total mass of 450 kg. The car with the people in it moves with a momentum of 220,000 kg m/s. What is the velocity of the system?
8) If a 15-kg gun shoots a 0.04-kg bullet with a velocity of 700 m/s, then the gun has a recoil velocity of:
9) A 1200 kg car traveling with a velocity of 20 m/s hits a 600 kg llama at rest in the middle of the road. If they undergo a completely inelastic collision (sticking together), what is their velocity after the collision?
10) A child standing motionless on a skateboard throws a 10 kg bowling ball horizontally away from herself with a velocity of 8 m/s. If the combined mass of the child and the skateboard is 75 kg, how fast will she be moving after the throw?
11) A 6 kg bowling ball traveling with an initial speed of 5 m/s hits a 1 kg pin at rest. After the collision the pin flies forward with a velocity of 20 m/s. What is the velocity of the bowling ball after the collision?
12) A 0.25 kg cue ball hits an 0.25 kg 8 ball at rest in a perfectly elastic collision. The collision causes the cue ball to stop and the 8 ball to move forward with a velocity of 4 m/s. What was the initial velocity of the cue ball?
13) If there is one thing that physics teachers love to do, it’s bowling. Mrs. Roth, Mr. Vickery, and Ms. Lage go bowling at Anderson Bowl. Lage is ahead by 50 pts with two frames left. Suddenly, zombies break down the back door and attack the nearby innocent bowlers. Vickery throws the 12 kg ball with a velocity of 25 m/s straight into the nearest zombie’s head, knocking it clean off. If the 3 kg head (initially at rest) moves forward with a velocity of 35 m/s, calculate the velocity of the bowling ball after the collision.