Ever wondered exactly how much you"d weigh on Mars? Or Jupiter? Here"s the an easy math to assist you figure it out.

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

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

Related: Would humans born top top Mars thrive taller than Earthlings?

Weight is the pressure gravity exerts on things due to its mass. Mass, roughly, actions an object"s inertia, that resistance to being relocated or stopped, as soon as it"s in motion. Your mass remains consistent across the cosmos (except in particular cases disputed in special relativity , however that is another story), while your weight alters depending top top the gravitational forces acting ~ above you, which differ from earth to planet.

Newton"s regulation of global Gravitation says that everything that has actually mass attracts every other thing that has mass, pulling with a pressure (a) directly proportional come the product the the 2 objects" masses and also (b) inversely proportional come the square of the distance separating your centers.

In various other words, return gravity increases linearly together objects grow much more massive, it decreases significantly as the distance between them boosts (a phenomenon well-known as an inverse-square law). Once calculating surface ar gravity, the distance describes the room separating girlfriend (on the surface) native the planet"s facility of mass. This means that a planet"s size actually has a greater relative impact on that gravity and also on your weight top top its surface than does its mass.

Written together a formula, Newton"s gravitation legislation looks something favor this:

F = G((Mm)/r2)

Where

F is the gravitational force in between two objects,G is the Gravitational consistent (6.674×10-11 Newtons x meters2 / kilograms2),M is the planet"s fixed (kg),m is her mass (kg), andr is the street (m) between the centers that the 2 masses (the planet"s radius).

Without acquiring too bogged under in the math, we deserve to see the this leader to a how amazing result. Take it the most huge planet in the solar system, Jupiter, which tips the scale at 316 times the mass of the Earth. You can imagine you would weigh 316 times as lot there as here. However, because Jupiter"s radius balloons to around 11 time as big as Earth"s, the gravitational pressure drops off by a element of 1/112 in ~ its surface ar (assuming you could find a means to was standing on gas clouds).

However, that does not mean that the ratio 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 other celestial body, you have to compute them separately using the formula above, and then division the preferred 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: 0.06

Because weight = fixed x surface gravity, multiplying her weight on earth by the numbers over will give you your weight top top the surface of each planet. If you weigh 150 pounds (68 kg.) top top Earth, you would weigh 351 lbs. (159 kg.) on Jupiter, 57 lbs. (26 kg.) ~ above Mars and also a only 9 lbs. (4 kg.) on the dwarf earth of Pluto.

Note that Mercury and also Mars have the same proportional gravity, also though Mars is almost twice as enormous as Mercury. Mars" superior size, 1.4 times the diameter of Mercury, trumps the effect of that extra mass due to the fact that of the inverse-square relationship in between gravity and also distance.

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—How many humans can the moon support?

—What if earth shared that orbit with another planet?

—What color is the sunset on various other planets?

Uranus and also Venus existing an even an ext striking example of this phenomenon: although Uranus lugs about 17.8 time the massive of Venus, its 4.2- times-larger diameter quiet negates the distinction in proportional surface gravity.