Show that the gravitational potential energy depends on final and initial position of object and not on the path along which the object is moved.
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according to my book 'work done' depends on final and initial position not the path followed not potential energy
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Gravitational Potential is the work done per unit mass to bring that body from infinity to that point. It is represented by V. SI unit of gravitational potential is J/Kg. It is the potential body arising out of the force of gravity. If due to the force, if the position changes, then the change in the potential energy is the work done on the body by the force.
The most common use of gravitational potential energy is for an object near the surface of the Earth where the gravitational acceleration is a constant at about 9.8 m/s².
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