work potential
define please
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Force × displacement gives the work done, which is equal to the gravitational potential energy, thus. The more formal definition is that potential energy is the energy difference between the energy of an object in a given position and its energy at a reference position.
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The potential energy U is equal to the work you must do against that force to move an object from the U=0 reference point to the position r. The force you must exert to move it must be equal but oppositely directed, and that is the source of the negative sign.
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