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Gravitational Potential Energy: Definition, Formulas, and Examples

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  Definition Gravitational Potential Energy (GPE) is the energy an object possesses due to its position in a gravitational field. It is the stored energy of an object when lifted against gravity and can be converted into kinetic energy when the object falls. Gravitational Potential Energy  depends on the object's Mass, the Height at which it is raised, and the gravitational acceleration acting on it. Formula The formula for gravitational potential energy is: U = m g h U = mgh Where: U U  = Gravitational Potential Energy (Joules) m m  = Mass of the object (kg) g g  = Acceleration due to gravity ( 9.8   m / s 2 9.8 \, m/s^2 9.8 m / s 2 on Earth) h h h = Height above the reference point (meters) This formula shows that the higher the object is lifted, the more potential energy it gains. Examples Example 1: Lifting an Object If a 5 kg book is lifted to a shelf 2 meters above the ground, its gravitational potential energy is: U = ( 5   k g ) ( 9.8   m / s 2 ) ( 2   ...