Gravitational Potential Energy: The gravitational potential energy of a body at a point is defined as the amount of work done in bringing the body from infinity to that point against the gravitational force.
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W=-GMm/r
This work done is stored under the object as its gravitational potential energy
U = - GMm/r
(i) Potential power is a scalar quantity.
(ii) Unit: Joule
(iii) Dimension: [ML2T-2]
(iv) Gravitational potential power is usually negative in the gravitational field because the force is always attractive in nature.
(v) As the distance r raise, the gravitational potential energy converts less value i.e., it increases.
(vi) If r =∞ then it becomes zero (maximum)
(vii) In case of discrete distribution of masses
Gravitational potential energy
(viii) If the body of mass m is rotate from a point at a distance r1 to a point at distance r2(r1 > r2) then change in potential energy
As r1 is greater then r2, the change in potential energy of the body will be negative. It seems that if a body is brought closer to earth it's potential energy decreases.
(ix) Relation in between potential gravitational energy and potential
U = mV
(x) Gravitational potential power at the origin of earth relative to infinity.
(xi) Gravitational potential energy of an object at height h from the earth surface is given by
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