Your weight on Ganymede
Your mass does not change when you travel. Your weight does, because weight is a force and it depends on the local gravitational field. The largest moon in the solar system, bigger than Mercury.
Your weight there, in kilograms-force
10.172
- Your weight as a force
- 99.76
- Your weight in pounds-force
- 22.43
- Surface gravity
- 1.4251 m/s2
- Gravity relative to Earth
- 0.145 32
- How high that jump would take you
- 3.441
- Time for something to fall one metre
- 1.185 s
- Your weight on Earth for comparison
- 686.47
Show the working
- Your mass = 70
- How high you can jump on Earth = 0.5
- gm = 9.887834e12 = 9 887 830 000 000
- radius = 2.6341e6 = 2 634 100
- Surface gravity = 9 887 830 000 000 / 2 634 100^2 = 1.425 07
- Gravity relative to Earth = 1.425 07 / 9.80665 = 0.145 317
- Your weight as a force = 70 * 1.425 07 = 99.755
- Your weight there, in kilograms-force = 99.755 / 9.80665 = 10.1722
- Your weight in pounds-force = 99.755 / 4.4482216152605 = 22.4258
- How high that jump would take you = 1.425 07 > 0 ? 0.5 * 9.80665 / 1.425 07 : 0 = 3.440 76
- Time for something to fall one metre = 1.425 07 > 0 ? sqrt(2 * 1 / 1.425 07) : 0 = 1.184 67
- Your weight on Earth for comparison = 70 * 9.80665 = 686.466
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- surface gravity g = GM / r^2
- weight = mass x g
- jump height scales inversely with gravity for the same take-off energy
The gravitational constant G is the least precisely known fundamental constant, so results here are reported as rounded rather than exact.
Kilograms-force is what a bathroom scale reads. It is a force, not a mass, which is why the number changes and your mass does not.
The largest moon in the solar system, bigger than Mercury.
Where the numbers come from
- GM and mean radius from planetary ephemeris and spacecraft tracking solutions.