Unit 4 Work Sheet 11 - AHMO Physics Fun



Mixed Collisions and Momentum Practice

Name___________________ Period_________ Date______________

Momentum – Elastic and Inelastic Collisions

Check these equations with your teacher

Momentum Impulse Collisions

p=mΔv J = Δp = mΔv = FΔt m1v1i + m2v2i = m1v1f + m2v2f m1v1i + m2v2i = v1f (m1+ m2)

1. Two Train cars of identical mass (m = 10.0 kg) collide and move off as shown. The left car was initially traveling at 2.0 m/s right and the right car was initially traveling at a velocity of 3.0 m/s left. After the collision, the left car is traveling at a velocity of 2.5 m/s to the left.

a. What type of a collision is depicted here?

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b. What was the initial momentum of the right car?

c. What was the initial momentum of the left car?

d. What was the final momentum of the left car?

e. What was the final momentum of the right car?

2. Given that the equation for momentum is[pic], how can the momentum of a body change. Hint: there are two ways.

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3. A Passenger car (m = 15.0 kg) and a flat car (m = 9.5 kg) collide and move off as shown. The left car was initially traveling at 4.7 m/s right and the right car was initially traveling at a velocity of 3.1 m/s left.

a. What type of a collision is depicted here?

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b. What was the initial momentum of the right car?

c. What was the initial momentum of the left car?

d. What was the final velocity of the coupled cars? Remember, velocity has both a magnitude and a direction.

4. While standing on a skateboard, a woman (m = 50.0 kg) throws a bowling ball (m = 5.0 kg) to the left as shown. She and the ball are initially at rest. After the ball is thrown, it has a velocity of 6.0 m/s to the left.

a. What is the initial momentum of the ball and of the woman? Explain your answer.

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b. What is the final momentum of the ball?

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c. What is the final velocity (magnitude and direction) of the woman?

5. The momentum before the collision is equal to the momentum ________________ the collision. This

sentence is a statement of the Law of Conservation of _________________________.

For questions 6 to 12, state by circling whether the statement is true or false. If it is false, then rewrite the statement in order to make it a true statement.

6. T F In an elastic collision, the colliding bodies stick together and become one mass.

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7. T F In an inelastic collision, the colliding bodies move off with separate velocities.

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8. T F Impulse is a force multiplied by a velocity.

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9. T F Momentum is a force multiplied by a velocity.

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10. T F Two billiard balls colliding is an example of an inelastic collision.

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11. T F A bullet that is shot at a log and sticks in the log causing the log to fall over is

an example of an inelastic collision.

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12. T F Mass is the same thing as weight.

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Given the below before and after pictures, state by circling whether the collisions are elastic or inelastic. Explain your reason for answering as you did.

13. Elastic Inelastic

Why? ______________________________

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14. Elastic Inelastic

Why? ______________________________

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15. Elastic Inelastic

Why? ______________________________

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16. Elastic Inelastic

Why? ______________________________

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17. Elastic Inelastic

Why? ______________________________

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18. A 1250 kg car is moving down the highway with a velocity of 32.0 m/s when it bumps into the car ahead of it which has a mass of 875 kg and a velocity of 25.0 m/s. After the collision, the two cars stick together. What will be the resulting velocity of the two cars together?

19. A 50.0 kg woman, riding on a 10 kg cart, is moving east at 5.0 m/s. The woman jumps off the front of the cart and lands on the ground at 7.0 m/s eastward. What is the final velocity of the cart?

20. A 9.00 kg mass is moving to the right with a velocity of 14.0 m/s. A 12.0 kg mass is moving to the left with a velocity of 5.00 m/s. Assuming that these two balls have a head on collision and stick together, what will be the final velocity of the combination?

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V2F

V1F

V1I

V2I

VF

V1I

V2I

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