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Acceleration of gravity (g) universal gravitation

A body of mass m is attracted to Earth with a force that is worth its weight and P = mg. But under the law of universal gravitation, this force is also true: F = GmM/r2

, where M is the mass of Earth and r is the distance from the center of the Earth to the body of mass m. These forces being equal, is:

mM/r2 mg = G, ie g = GM/r2

Through this formula we can calculate the value of ga any distance from the center of the Earth, conocinedo M mass of it and the distance r.

This formula indicates that the farther from the center of the earth the acceleration of gravity is lower and, therefore, the bodies that they will fall uniformly accelerated motion, because as the body falls the value of g increases.