Define gravitational potential. Give its unit. Is gravitational potential vector or scalar ?

Explanation

`implies` Gravitational Potential V: Potential energy of a particle of unit mass at a point due to the gravitational force of earth is known as gravitational potential at this point.
`implies` Definition : The work done by the gravitational force in bringing a body of unit mass from infinite distance to the given point in a gravitational field is called the gravitational potential at that point.
`implies ` Gravitational potential `V=(" Work done")/("mass")=W/m`
`implies` It is a scalar quantity.
Its SI unit `=J/(kg)` and CGS unit `=(erg)/g`
`implies` Its dimensional formula `M^(0) L^(2) T^(-2)`.