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What we call weight is actually the downward force exerted by gravity. For a planet, the gravity at a point on its surface (or anywhere above the surface) is determined by the total mass of the planet, and the distance from the center of mass. This is actually a "mutual attraction" between a person, or an object, and the planet. Since the masses of the planets are vastly different, their surface gravities (what would give you your weight) are also different.

* Note that for gas giants like Saturn, where the surface is deep within the atmosphere (which actually becomes liquidand solid gas at great depth), the gravity is based on a false "surface" -- the level where the atmospheric density is the same as sea level on Earth. So the measuring point is far from any actual solid surface. If you could stand at that level of Saturn's atmosphere, your weight (the pull of gravity you felt) would be about the same as on the surface of Earth, because you would be very much farther from the planet's center.

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Q: Why would we weigh differently on each of the planets?
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