Ever wondered just how much you"d sweet on Mars? Or Jupiter? Here"s the simple math to help you number it out.

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Whether you are a scientific research fiction fan, a space enthusiast or one of the millions who have watched astronauts gamboling around the moon"s surface, friend may have actually wondered how much you would weigh on other planets in the solar system.

To type this out, it an initial helps to recognize a little Physics 101.

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Weight is the pressure gravity exerts on an object due come its mass. Mass, roughly, procedures an object"s inertia, that is resistance to being moved or stopped, when it"s in motion. Her mass remains constant across the universe (except in specific cases questioned in one-of-a-kind relativity , yet that is another story), while her weight transforms depending ~ above the gravitational pressures acting on you, which differ from world to planet.

Newton"s legislation of universal Gravitation states that everything that has mass attracts every other thing that has mass, pulling v a force (a) straight proportional come the product of the 2 objects" masses and also (b) inversely proportional come the square that the distance separating their centers.

In other words, although gravity boosts linearly together objects grow more massive, it decreases significantly as the distance between them rises (a phenomenon known as an inverse-square law). When calculating surface ar gravity, the distance describes the space separating you (on the surface) from the planet"s center of mass. This way that a planet"s dimension actually has actually a higher relative influence on that is gravity and on your weight on its surface than does its mass.

Written together a formula, Newton"s gravitation law looks something choose this:

F = G((Mm)/r2)

Where

F is the gravitational force between two objects,G is the Gravitational constant (6.674×10-11 Newtons x meters2 / kilograms2),M is the planet"s massive (kg),m is her mass (kg), andr is the distance (m) in between the centers that the two masses (the planet"s radius).Without acquiring too bogged under in the math, we can see the this leader to a surprising result. Take the most enormous planet in the solar system, Jupiter, which tips the scales at 316 time the massive of the Earth. You might imagine you would certainly weigh 316 times as much there together here. However, due to the fact that Jupiter"s radius balloons to approximately 11 times as big as Earth"s, the gravitational pressure drops turn off by a aspect of 1/112 at its surface ar (assuming you could find a way to was standing on gas clouds).

However, that does not median that the relationship of Jupiter"s gravity to Earth"s is 316 / 112. To calculation the ratio between Earth"s surface ar gravity and also that of any kind of other celestial body, you must compute them independently using the formula above, and also then divide the wanted planet"s gravitational force by Earth"s. We will spare girlfriend the work:

Mercury: 0.38Venus: 0.91Earth: 1.00Mars: 0.38Jupiter: 2.34Saturn: 1.06Uranus: 0.92Neptune: 1.19Pluto: 0.06Because load = mass x surface gravity, multiplying your weight on planet by the numbers above will give you your weight on the surface of every planet. If you sweet 150 pounds (68 kg.) ~ above Earth, you would certainly weigh 351 lbs. (159 kg.) on Jupiter, 57 lbs. (26 kg.) ~ above Mars and a just 9 lbs. (4 kg.) ~ above the dwarf earth of Pluto.

Note that Mercury and also Mars have actually the very same proportional gravity, also though Mars is nearly twice as substantial as Mercury. Mars" premium size, 1.4 time the diameter that Mercury, trumps the effect of that extra mass since of the inverse-square relationship between gravity and distance.

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—How plenty of humans could the moon support?

—What if earth shared its orbit with one more planet?

—What color is the sunset on other planets?

Uranus and also Venus present an even an ext striking instance of this phenomenon: although Uranus lugs roughly 17.8 times the mass of Venus, that is 4.2- times-larger diameter still negates the difference in proportional surface ar gravity.