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When the child is up in the air on either side of the climax of the swing, it builds potential energy to drop or swing back down towards the other side. When the child falls, gravity and the potential energy work together to make the child fall, and in turn, the kinetic energy not used for the fall goes into pushing the child back up on the other side. Say that there was no gravity involved in this situation. The child would only make it to the bottom of the swing, closest to the ground, because the amount of energy you store up in going higher cannot be amounted to greater as you swing down.

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15y ago

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