# Gravitational Potential Energy

The gravitational potential energy of a body at a point is defined as the amount of work done in bringing the body from infinity to that point against the gravitational force.

Fig. 12
• Relation between gravitational potential energy and potential,

âˆ´ U = mV
• Gravitational potential energy at the center of Earth relative to infinity,

Ucenter = mVcenter
• Gravitational potential energy of a body at height h from the Earth surface is given by