show that the weight of an object on moon is one-sixth of its weight on the earth

Question

given mass of earth=5.98*10power24kg,
radius of earth=6.37*10power6m.
given mass of moon=7.36*10power22kg,
radius of moon=1.74*10power6m.

Answer 1

F = G M m/R^2
F/m = G M/R^2 = g wherever

G Me/Re^2 = g earth
G Mm /Rm^2 = g moon
so
g moon / g earth = (Mm/Me)(Re/Rm)^2

= (7.36/5.98)(10^-2)(6.37/1.74)^2

= .165

1/.165 = 6.06

Answer 2

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