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Potential energy is the energy of a body or a system due to the position of the body or the arrangement of the particles of the system.

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When only gravity doing work on an object

I know that if gravity is the only thing that does work on a particle, its change of kinetic energy will be equal to the work done by gravity $$\Delta K = -\Delta U_{\rm grav}. \tag{1}\label{energyCon …