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In page Potential energy:

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In classical physics, gravity exerts a constant downward force F=(0, 0, Fz) on the center of mass of a body moving near the surface of the Earth. The work of gravity on a body moving along a trajectory r(t) = (x(t), y(t), z(t)), such as the track of a roller coaster is calculated using its velocity, v=(vx, vy, vz), to obtain