Gravitational Potential Energy of a Body on Earth
As we have studied the gravitational potential due to a solid sphere at various points in surrounding, and inside of the sphere we can use the same results for the gravitational potential due to Earth. Using these expressions, we can find the gravitational potential energy of any mass located at a point anywhere on Earth. The position can be at some height on surface or at a depth inside the surface.
See the video given below for its analysis.
As an application of potential energy of a body on Earth, we now study an application on calculation-the work done on a body in displacing it from one height to another, in Earth's gravitational field. This can be calculated by difference of potential energy of body at the two locations.
See the example videos below to understand the concept by an example -
In the previous articles, we studied about the gravitational potential due to a uniform ring on its axis. Using the concept we can also find the gravitational potential energy of a body. With a uniform disc as due potential to a disc, can be obtained by integrating the results due to elemental rings considered in the disc.
For detailed explanation of the process see the example video below -