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Gravitational potential is the amount of energy that an object has due to its position in a gravitational field. It is a measure of how much work would be required to move the object to a different position within the field.
Gravitational potential energy is the energy an object has due to its position in a gravitational field, while gravitational potential is the potential energy per unit mass. In other words, gravitational potential energy is dependent on the mass of the object, while gravitational potential is not.
The equation for gravitational potential is V = -GM/r, where V is the gravitational potential, G is the gravitational constant, M is the mass of the object creating the gravitational field, and r is the distance between the object and the point where the potential is being measured.
Gravitational potential is inversely proportional to distance. This means that as the distance between two objects increases, the gravitational potential decreases. This is because the force of gravity weakens as distance increases.
The unit of measurement for gravitational potential is joules per kilogram (J/kg). This unit represents the amount of energy per unit mass an object has due to its position in a gravitational field.