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# Momentum and Impulse (Grades 11-12)

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## Momentum and Impulse

Instructions: Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

1.
Which has more momentum, a 3989 lb car traveling at 55 mph or a 28,000 kg truck traveling at 1.5 m/s? Show how you determined your answer.

2.
One wave-runner moves to the left at a velocity of −v, while another wave-runner moves to the right at a velocity of v. Both wave-runners have mass m. Which wave-runner has the larger magnitude of momentum?

3.
The product of a force and the length of time the force is applied to an object is called                , and it causes a change in its momentum.
1. velocity
2. interval
3. impulse
4. work
4.
As Stephanie approaches a traffic jam, she applies a braking force of 11,000 N. Her car has a mass of 2,000 kg and is moving with a velocity of +18 m/s. What is the impulse imparted to bring the car to a stop?
1. 9000 N
2. 36000 N
3. 198000 N
4. 5500 N
5.
As Milo approaches a red light, he applies a braking force of 12,000 N. His Hummer has a mass of 3,000 kg and is moving with a velocity of +22 m/s. How long will it take for Milo’s Hummer to stop?
1. 4.3 s
2. 15.5 s
3. 6.2 s
4. 5.5 s
6.
In the 1950s, automobile engineers began incorporating crumple zones into the design of cars. These crumple zones increase the collision time. To give you an idea of the effectiveness of crumple zones on passenger safety, use the scenario described below to answer the next three questions. Show all your computation work.

A 91kg passenger, Chris, is riding in a car that crashes into a tree at a velocity of 15m/s. The car, a 1959 Chevrolet Bel Air, has no crumple zone. Another 91kg passenger, Frank, riding in 2015 Chevrolet Malibu with a crumple zone, also crashes at 15 m/s. The time of the crash of the car without a crumple zone is 0.1 s, while that of the car with a crumple zone is 0.4 s.
A.
What is the impulse for each crash?

B.
What is the force of the impact on Chris?

C.
What is the force of impact on Frank?

7.
Quentin, whose mass is 69 kg, is riding on a 3.5 kg skateboard initially traveling at 9.0 m/s. He drags his foot to brake the skateboard with a constant force, bringing it to a stop in 4.0 s. What force does he apply?
1. -17.25 N
2. -18.13 N
3. -16.38 N
4. -72.5 N
8.
Which of the following has the greatest inertia? Which has the greatest momentum? Show all of your computations.

11,800 lb killer whale swimming at 12.5 m/s
720 kg SAM missile detonating at a velocity of 4567.24 mph
36,000 kg hook-and-ladder firetruck racing to a fire at 40 m/s

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