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The gravitational attraction of two objects depends upon the mass of each object and the distance between them. This relationship is called the Gravitational Law and can be expressed as
F = kG m1 m2 / r2 (1)
where
F = gravitational force (N, lbf)
kG = universal gravitation constant = 6.67 10-11 (N m2/kg2)
m = mass of object (kg)
r = distance between objects (m)
The gravitational force (weight) on a person of 70 kg on the earth's surface (6.37 106 m from the earth's center) can be expressed as
F = 6.67 10-11 ( N m2/kg2) 5.98 1024 (kg) 70 (kg) / [6.37 106 (m)]2
= 688.1 (N)
5.98 1024 ( kg) is the mass of the earth.
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