Your "weight" on Earth is a measure of the gravitational force between you and the Earth. What would your "weight" be on Mars? Mars has half the radius of Earth, and one-tenth the mass of Earth. Therefore your weight on Mars would be

1 answer

m g = G M m /r^2

m gmars = G (M/10)m /(.5r)^2 = GMm/r^2 * (1/10)/(.25) = (.4) G M m / r^2