A large cargo truck loses traction on a wet road while moving at 30 m/s to the west as it approaches an intersection. A poor SUV is not looking and is in the middle of the intersection moving south at 15 m/s when it is T-boned by the truck. Police digging through the tangled wreckage are able to identify the models of each vehicle and are able to determine that the SUV's mass is around 1,500 kg (6 times less than the truck's), meaning this was a nasty collision for the SUV occupants. As the insurance representative, you need to determine how deadly this collision was in terms of the average force the SUV occupants felt. If you know that most collisions like this only have a duration of 0.05 seconds on average, calculate the acceleration the SUV occupants felt in the hit. Knowing that in this kind of impact, the human body can only withstand around 150 times the Earth's gravitational acceleration before serious injury or death. how serious was this hit? (HINT: Here is your real-world problem for this exam. You will need to use conservation of momentum to find the components of the final momentum of the SUV; you may assume the vehicles stuck together after the collision. Remember, this is a 2D problem. Once you have the final momentums, you will need to use the Impulse Approximation to relate this to an "x" and "y" force on the SUV. Then, you can find the magnitude of this force and turn that magnitude into an acceleration via Newton's 2nd Law)

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A large cargo truck loses traction on a wet road while moving at 30 m/s to the west as it approaches an intersection. A poor SUV is not looking and is in the middle of the intersection moving south at 15 m/s when it is T-boned by the truck. Police digging through the tangled wreckage are able to identify the models of each vehicle and are able to determine that the SUV's mass is around 1,500 kg (6 times less than the truck's), meaning this was a nasty collision for the SUV occupants.

As the insurance representative, you need to determine how deadly this collision was in terms of the average force the SUV occupants felt. If you know that most collisions like this only have a duration of 0.05 seconds on average, calculate the acceleration the SUV occupants felt in the hit. Knowing that in this kind of impact, the human body can only withstand around 150 times the Earth's gravitational acceleration before serious injury or death... how serious was this hit?

(HINT: Here is your real-world problem for this exam. You will need to use conservation of momentum to find the components of the final momentum of the SUV; you may assume the vehicles stuck together after the collision. Remember, this is a 2D problem. Once you have the final momentums, you will need to use the Impulse Approximation to relate this to an "x" and "y" force on the SUV. Then, you can find the magnitude of this force, and turn that magnitude into an acceleration via Newton's 2nd Law.)

Answer choices:
- 862,500 m/s²
- 575 m/s²
- 25.8 m/s²
- 355 m/s²
Transcribed Image Text:A large cargo truck loses traction on a wet road while moving at 30 m/s to the west as it approaches an intersection. A poor SUV is not looking and is in the middle of the intersection moving south at 15 m/s when it is T-boned by the truck. Police digging through the tangled wreckage are able to identify the models of each vehicle and are able to determine that the SUV's mass is around 1,500 kg (6 times less than the truck's), meaning this was a nasty collision for the SUV occupants. As the insurance representative, you need to determine how deadly this collision was in terms of the average force the SUV occupants felt. If you know that most collisions like this only have a duration of 0.05 seconds on average, calculate the acceleration the SUV occupants felt in the hit. Knowing that in this kind of impact, the human body can only withstand around 150 times the Earth's gravitational acceleration before serious injury or death... how serious was this hit? (HINT: Here is your real-world problem for this exam. You will need to use conservation of momentum to find the components of the final momentum of the SUV; you may assume the vehicles stuck together after the collision. Remember, this is a 2D problem. Once you have the final momentums, you will need to use the Impulse Approximation to relate this to an "x" and "y" force on the SUV. Then, you can find the magnitude of this force, and turn that magnitude into an acceleration via Newton's 2nd Law.) Answer choices: - 862,500 m/s² - 575 m/s² - 25.8 m/s² - 355 m/s²
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