Define escape energy. Write its unit and dimensional formula.

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(N/A) Escape energy is defined as the minimum amount of energy required to be provided to an object of mass $m$ on the surface of a planet so that it can escape the gravitational field of the planet and reach infinity.
Mathematically,it is given by $E_e = \frac{GMm}{R}$,where $G$ is the universal gravitational constant,$M$ is the mass of the planet,$m$ is the mass of the object,and $R$ is the radius of the planet.
Since energy is a form of work,its $SI$ unit is the Joule $(J)$.
The dimensional formula for energy is $[ML^2T^{-2}]$.

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