In this post with the Gravitational Potential worksheet, we will solve a bunch of numerical problems with the help of the concept and formula of Gravitational Potential, gravitational potential energy, & gravitational force. Gravitational Potential – worksheet with solution 1 ) What is the gravitational potential at the Earth’s surface? (mass of Earth = 5.97 […]

## Derivation of Gravitational potential energy equations

Deriving equations of Gravitational Potential Energy (1)with planet’s surface as the zero level & (2)infinity is chosen as the zero level, 1] If we choose a planet’s surface as the zero level or reference, Gravitational Potential Energy Ep at x has a positive value.

If infinity is chosen as the zero level, Ep has a negative value.

Gravitational potential energy Ep = (mg) × h = mgh (if we choose a planet’s surface as the zero level or reference).

Gravitational potential energy Ep can be expressed as Ep = – G m1m2 / r (if infinity is chosen as the zero level).