text: Yes and no. The Gravitational Force is given in g = GM / r^2, where G = 6.67*10^-11, M = mass of planet, and r = radius in metres. So the G increases if the mass increases, or the radius decreases. If the moon had the same mass as us, you would weight a lot heavier on it than on Earth. But since it is a lot lighter than smaller than us, the g on the surface of the moon is less than that of ours, and since weight = mass X gravity, you weigh less.