A 1 100.0 kg car traveling initially with a speed of 25.000 m/s in an easterly direction crashes into the back of a 9 400.0 kg truck moving in the same direction at 20.000 m/s. The velocity of the car right after the collision is 18.000 m/s to the east. Two images depicting a before and after scenario of a car colliding with the back of a truck. Before: The car is moving at a velocity of vector vC i. This is shown as a rightward-moving horizontal arrow above the car. The truck is moving at a velocity of vT i. This is shown as a rightward-moving horizontal arrow, shorter than that of the car, above the truck. After: The car is shown crashing into the back of the truck. At this point, the velocity of the car is shown to be vC f. This is shown as a rightward-moving horizontal arrow above the car. The velocity of the truck is shown to be vT f. This is shown as a rightward-moving horizontal arrow, longer than that of the car, above the truck. (a) What is the velocity of the truck right after the collision? (Give your answer to five significant figures.)m/s east(b) What is the change in mechanical energy of the car–truck system in the collision?J(c) Account for this change in mechanical energy.
A 1 100.0 kg car traveling initially with a speed of 25.000 m/s in an easterly direction crashes into the back of a 9 400.0 kg truck moving in the same direction at 20.000 m/s. The velocity of the car right after the collision is 18.000 m/s to the east. Two images depicting a before and after scenario of a car colliding with the back of a truck. Before: The car is moving at a velocity of vector vC i. This is shown as a rightward-moving horizontal arrow above the car. The truck is moving at a velocity of vT i. This is shown as a rightward-moving horizontal arrow, shorter than that of the car, above the truck. After: The car is shown crashing into the back of the truck. At this point, the velocity of the car is shown to be vC f. This is shown as a rightward-moving horizontal arrow above the car. The velocity of the truck is shown to be vT f. This is shown as a rightward-moving horizontal arrow, longer than that of the car, above the truck. (a) What is the velocity of the truck right after the collision? (Give your answer to five significant figures.)m/s east(b) What is the change in mechanical energy of the car–truck system in the collision?J(c) Account for this change in mechanical energy.
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Chapter1: Units, Trigonometry. And Vectors
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A 1 100.0 kg car traveling initially with a speed of 25.000 m/s in an easterly direction crashes into the back of a 9 400.0 kg truck moving in the same direction at 20.000 m/s. The velocity of the car right after the collision is 18.000 m/s to the east.
Two images depicting a before and after scenario of a car colliding with the back of a truck.
- Before: The car is moving at a velocity of vector vC i. This is shown as a rightward-moving horizontal arrow above the car. The truck is moving at a velocity of vT i. This is shown as a rightward-moving horizontal arrow, shorter than that of the car, above the truck.
- After: The car is shown crashing into the back of the truck. At this point, the velocity of the car is shown to be vC f. This is shown as a rightward-moving horizontal arrow above the car. The velocity of the truck is shown to be vT f. This is shown as a rightward-moving horizontal arrow, longer than that of the car, above the truck.
(a) What is the velocity of the truck right after the collision? (Give your answer to five significant figures.)
m/s east
(b) What is the change in mechanical energy of the car–truck system in the collision?
J
(c) Account for this change in mechanical energy.
m/s east
(b) What is the change in mechanical energy of the car–truck system in the collision?
J
(c) Account for this change in mechanical energy.
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