Kinetic Energy - Physics

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Question

A car traveling at has a kinetic energy . If the car accelerates to , what will the new kinetic energy be?

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Answer

Kinetic energy is given by. We will begin by calculating the car's initial kinetic energy, in terms of the unknown mass of the car :

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Next, we will calculate the final energy of the car, also in terms of the unknown mass of the car:

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To find the ratio of the final to initial kinetic energy, we divide by . We see that this reduces to with the both the mass and terms cancelling. . Thus, the new kinetic energy is .

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