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What is the relationship between the universal
gravitational constant (G) and the acceleration due to
gravity (g)?
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Answer Posted / guest
The value of G is a constant that should not change no
matter where one is in the universe. The value of g,
however, does vary for each planet, star, moon, or other
large body. These two gravitational parameters are related
by the equation:
where
g = acceleration due to gravity (m/s2 or ft/s2)
G = universal gravitational constant (m3/kg/s2 or
ft3/slug/s2)
M = mass of the body (kg or slug)
r = radius of the body (m or ft)
The value of G is known and has been estimated by
scientists as:
G = 6.673 x 10-11 m3/kg/s2 in the Metric system
G = 3.439 x 10-8 ft3/slug/s2 in the English system
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