An object weighs 100 lb. on the surface of the earth. How much does it weigh 4R from the surface? (5R from the center)How much would the object weigh on the moon?
at both 4R and 5R the object would be in space and therefore weightless. On the surface it would weigh approximately one third of its weight on earth.How much would the object weigh on the moon?
F = G M m / R^2
M is the mass of the planet
m is the mass of the object
R is the distance from the center of the body.
Assume mass of moon is 1/6 mass of earth.
F_earth / F_moon = M_earth / M_moon = 6.
The force ratio will always be the same at all radii from center.
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