Thursday, November 17, 2022

๐Ÿ”ญ Newtonโ€™s law of universal gravitation

For two bodies having masses m and M with a distance r between their centers of mass, the equation for Newtonโ€™s universal law of gravitation is

F = G mM /r2,

where F is the magnitude of the gravitational force and G is a proportionality factor called the universal gravitational constant.
G is a universal gravitational constantโ€”that is, it is thought to be the same everywhere in the universe.
It has been measured experimentally to be
= 6.674ร—10โˆ’11Nโ‹…m / kg2
in SI units.

Note that the units of G are such that a force in newtons is obtained from F = G mM /r2, when considering masses in kilograms and distance in meters.

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