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Formulation. For two pairwise interacting point particles, the gravitational potential energy is the work done by the gravitational force in bringing the masses together: where is the displacement vector between the two particles and denotes the scalar product.
The change in gravitational potential energy \(\Delta PE_g\), is \(\Delta PE_g = mgh\), with \(h\) being the increase in height and \(g\) the acceleration due to gravity. The gravitational potential energy of an object near Earth’s surface is due to its position in the mass-Earth system.
Potential energy is particularly useful for forces that change with position, as the gravitational force does over large distances. In Potential Energy and Conservation of Energy, we showed that the change in gravitational potential energy near Earth’s surface is \[ \Delta U = mg(y_2− y_1) \label{simple}\]
22 gru 2020 · Gravitational potential energy (GPE) is an important physical concept that describes the energy something possesses due to its position in a gravitational field. The GPE formula GPE = mgh shows that it depends on the mass of the object, the acceleration due to gravity and the height of the object.
29 wrz 2022 · Gravitational potential energy is the energy possessed by an object due to its position in a gravitational field. When the object moves from one position to another, its gravitational potential energy change equals the work done in moving the object.
20 lis 2023 · The equation for gravitational potential energy for energy changes in a uniform gravitational field is: Equation for GPE. GPE: The energy an object has when lifted up. The potential energy on the Earth’s surface at ground level is taken to be equal to 0.
Newton's law of universal gravitation can be used to derive an equation for gravitational potential energy that is useful for astronomical problems.
