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Great question. Totally useless as far as I can see, but an interesting calculation, which will produce a huge number that can be memorized and carried around until needed to settle a debate or a bar bet. Mass of the moon: 7.3 x 1022 kg Mass of the earth: 5.97 x 1024 kg Average distance between earth-moon: 3.844 x 108 m G = gravitational proportionality constant = 6.27 x 10-11 m3 / kg-sec2 Gravitational force = G M1M2/R2 Force = (6.27 x 10-11 m3/kg-sec2) x (7.3 x 1022 kg x 5.97 x 1024 kg) / (3.844 x 108 m)2 = [ 6.27 x 7.3 x 5.97 / (3.844)2 ] x (10 -11 + 22 + 24 - 16) (m3 - kg2 / kg - sec2 - m2 ) = (18.493) x (1019) (kg - m / sec2 ) = 1.85 x 1020 Newtons (rounded). We can tell at a glance that this answer is accurate, since we expected a large number, and this answer sure is a big number.

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