# What is Dimensional Formula of Gravitational Potential Energy?

Posted in Dimensional Formulae | Email This Post |The Gravitational Potential Energy of a body at a point in a gravitational field is defined as the amount of work done in bringing the body from infinity to that point without acceleration.The gravitational potential energy at a point is always negative.

Mathematically,

Gravitational Potential Energy = Gravitational Potential X mass of body (m).

Dimensional formula of Gravitational Potential = M^{0}L^{2}T^{-2}

Dimensional formula of Mass = M^{1}L^{0}T^{0}

Putting these values in above equation we get,

**The Dimensional formula of Gravitational Potential Energy is M ^{1}L^{2}T^{-2}.**

**The SI unit of Gravitational Potential Energy is Joule (J).**