what is the relation between the gravity on the surface of that no surface of the earth
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The gravitational force above the Earth's surface is proportional to 1/R2, where R is your distance from the center of the Earth.
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The surface gravity, g, of an astronomical or other object is the gravitational acceleration experienced at its surface. The surface gravity may be thought of as the acceleration due to gravity experienced by a hypothetical test particle which is very close to the object's surface and which, in order not to disturb the system, has negligible mass.
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