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The Kinetic energy (K) is at the least when the leaf is still attached to the tree; it's Potential energy (U) is at its greatest. As the leaf falls, its K increases as its U decreases. This continues to happen until the leaf can no longer move. This will happen when something like the Earth (a large object with much more mass and much more energy) pushes against it. The Earth has more energy so the leaf comes to a stop on its surface.

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