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Learn about the scalar potential associated with a gravitational field, its mathematical form, and its applications. Find out how it relates to potential energy, mass distribution, spherical symmetry, and general relativity.
12 maj 2022 · Gravitational Potential. The gravitational potential energy (G.P.E) is the energy an object has when lifted off the ground given by the familiar equation: G.P.E = mgΔh. The G.P.E on the surface of the Earth is taken to be zero. This means work is done to lift the object. This equation is only used for objects that are within the Earth's surface.
Learn about the potential energy of a massive object in a gravitational field, and how it relates to the work done by the gravitational force. Compare the formulations of gravitational energy in classical mechanics and general relativity.
An object’s gravitational potential 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 it does positive work it increases the gravitational potential energy of the system.
Learn what gravitational potential energy means and how to calculate it. Skip to main content If you're seeing this message, it means we're having trouble loading external resources on our website.
What is the gravitational potential \( \Phi(R,r) \) inside a thin spherical shell of radius \( R \) and constant density \( \rho \)? We need to be careful here and go back to the integral over \( s \) that we found: \[ \begin{aligned} \Phi(r) = \int_0^R dr' \int_{s_{\rm min}}^{s_{\rm max}} -\frac{2\pi G \rho(r') r' ds}{r} \end{aligned} \]
29 wrz 2022 · Learn what gravitational potential energy is, how to calculate it, and why it is negative. Find out how it depends on the mass and height of an object and how it relates to the Earth's gravity.
