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A 1622 kg car has a speed of 11 m/s when it hits a tree. The tree doesn't move and the car comes to rest. Find the amount of work done by the car as its front is pushed in.

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Answer:

To find the amount of work done by the car as its front is pushed in, you need to know the force that the car exerts on the tree and the distance over which this force is applied. The force that the car exerts on the tree is equal to the change in momentum of the car divided by the time over which this change occurs. The change in momentum of the car is equal to its final momentum minus its initial momentum, and the time over which this change occurs is the time it takes for the car to come to rest.

Since the car has a mass of 1622 kg and a speed of 11 m/s before it hits the tree, its initial momentum is equal to 1622 kg * 11 m/s = 17842 kgm/s. After it comes to rest, the car has a speed of 0 m/s, so its final momentum is 0 kgm/s. The change in momentum of the car is therefore equal to 0 - 17842 = -17842 kg*m/s.

The time it takes for the car to come to rest will depend on the deceleration of the car and the distance over which it decelerates. Since the deceleration of the car and the distance over which it decelerates are not given, it is not possible to calculate the time it takes for the car to come to rest. Without this information, it is not possible to calculate the amount of work done by the car as its front is pushed in.

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