what does an object gain pontial energy
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An object's gravitationalpotential is due to its position relative to the surroundings within the Earth-object system. The force applied to the object is an external force, from outside the system. When itdoes positive work it increases the gravitational potential energy of the system.
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To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.
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