Question

Show that weight of an object on the moon is one sixth that of weight of object on earth

Answer 1

Hope it will help you,

Answer 2

If the mass of the object is m then let it's weight on moon be Wm. Mass of the moon be Mm and its radius Rm.
According to universal law of gravity,
Wm=GMm×m/Rm^2
In earth the weight of the body is
We=GM×m/R^2
Wm/We=0.165=1/6
Wm=1/6×We