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If she's coasted down the hill at some speed, then she'll be carrying kinetic energy at the bottom of the hill.

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Q: What sort of energy does she have at the bottom of the hill before she applies her brakes?
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It applies in the sense that you can NEVER get energy where there was none before, and you can NEVER destroy energy completely.

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The energy you put into something to make it move at a steady speed is called KINETIC ENERGY. It's the Kinetic Energy of a car that makes the brakes hot when you try to stop. The kinetic energy of the moving car becomes heat in the brakes of the stationary car which has lost its kinetic energy. There are two ways to get a car to the top of a hill. One is to start at the bottom and drive the car to the top and then stop again. This way, the engine pushed the car up the hill. The other way is to start a long way before the hill and build up speed along a flat road. Then you can turn off the engine and the car will coast to the top of the hill before it stops. This way, the engine put a lot of Kinetic Energy into the weight of the car before it got to the hill, and it was that Kinetic Energy which was used to get the car up the hill.