Study Guide: Momentum Impulse Test

Formulas:

1.  True or False? A collision that involves bouncing involves a smaller change in momentum, than a collision that does not. Support your answer.

2.  The speed of a particle is doubled. By what factor is its momentum changed?

3.  Which has more momentum: a truck sitting at a stop sign, or a ping pong ball rolling at a speed of 1 m/s? Explain.

4.  Here are the same two carts again. In this case the large cart has a piece of clay stuck to it, and when the carts hit, they will stick together. If the large cart is moving at 3.0 m/s to the right, and the small cart at 3.0 m/s to the left, at what speed will they be moving after they collide?

5.  A truck loaded with sand is moving down the highway in a straight path.

a)  What happens to the momentum of the truck if the truck’s velocity is increasing?

b)  What happens to the momentum of the truck if sand leaks at a constant rate through a hole in the truck bed, while the truck maintains a constant velocity?

6.  The two stationary carts below have a compressed spring between them. A string is keeping them from flying apart. If the string is burned with a match, the large cart moves at 1.4 m/s to the left. What is the velocity of the small cart after the string is burned?

7.  If the time of impact in a collision is extended by 4 times, how much is the force of impact altered?

8.  Determine the momentum of a 50.0 g egg falling with a speed of 2.7 m/s.

9.  A car is traveling with a velocity of 27 m/s has a momentum of 40500 kg∙m/s. What is the mass of the car?

10.  A 1.0 kg basketball strikes the gym floor traveling 0.75 m/s. It bounces straight up leaving the floor with a velocity of 0.65 m/s. What is the change in momentum of the basketball?

11.  A 6.0 N net force acts on a 3.0 kg object for 10.0 sec in the direction of its motion.

a)  What will be the final velocity of the object if its initial velocity was 10.0 m/s? Assume the net force and velocity are both to the right.

b)  How would the impulse, change in momentum, and velocity change if the same force was applied for a greater amount of time?

12.  A 20 kg shot put was thrown into the air at a speed of 3 m/s. What was its momentum?

13.  Two trucks that look the same collide. One was originally at rest. The trucks stick together and move off at more than half the original speed of the moving truck. What can you conclude about the masses of the two trucks?

14.  On a pool table, the white cue ball moves across the table and collides with a stationary 8-ball. The two balls have equal mass. After the collision the cue ball is at rest. What must be true of the speed of the 8-ball?

15.  An astronaut (floating “weightless” in the space shuttle) whose mass is 80.0 kg carries a wrench with a mass of 1.5 kg. He throws a wrench to his partner working near-by with a speed of 2.5 m/s. Determine the velocity of the astronaut after he throws the wrench.

16.  A large cart is moving left at 1.0 m/s and the small cart is moving left at 5.0 m/s. After the collision the large cart is moving left at 3.1 m/s. What is the velocity of the small cart after the collision?

17.  A 0.105 kg hockey puck moving at 48 m/s is caught by a 75 kg goalie at rest. With what speed does the goalie slide on the ice?

18.  A 0.50 kg ball traveling at 6.0 m/s collides head-on with a 1.00 kg ball moving in the opposite direction at a velocity of -12.0 m/s. The 0.50 kg ball moves away at -14 m/s after the collision. Find the velocity of the second ball.

19.  A 15 g pellet moving at 600. m/s hits a stationary 100. g block and becomes embedded in the block. With what speed do they move off together?

20.  A bumper car with Batman as the driver (total mass = 150 kg), moving at 10.0 m/s, collides with a stationary bumper car with Superman as the driver (total mass = 200 kg). After the collision, Batman’s car has a velocity of -2.0 m/s.

a.  What is the velocity of Superman’s car after the collision?

b.  Did Superman or Batman experience the greatest force? Explain.

c.  Who experienced the greatest impulse?

d.  Calculate the change in momentum for Batman.

e.  Calculate the change in momentum for Superman.

f.  Who experienced the greatest change in momentum? Explain.