Your weight on Io
Your mass does not change when you travel. Your weight does, because weight is a force and it depends on the local gravitational field.
Your weight there, in kilograms-force
12.821
- Your weight as a force
- 125.73
- Your weight in pounds-force
- 28.26
- Surface gravity
- 1.7961 m/s2
- Gravity relative to Earth
- 0.183 15
- How high that jump would take you
- 2.730
- Time for something to fall one metre
- 1.055 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 = 5.959916e12 = 5 959 920 000 000
- radius = 1.8216e6 = 1 821 600
- Surface gravity = 5 959 920 000 000 / 1 821 600^2 = 1.796 11
- Gravity relative to Earth = 1.796 11 / 9.80665 = 0.183 153
- Your weight as a force = 70 * 1.796 11 = 125.728
- Your weight there, in kilograms-force = 125.728 / 9.80665 = 12.8207
- Your weight in pounds-force = 125.728 / 4.4482216152605 = 28.2648
- How high that jump would take you = 1.796 11 > 0 ? 0.5 * 9.80665 / 1.796 11 : 0 = 2.729 96
- Time for something to fall one metre = 1.796 11 > 0 ? sqrt(2 * 1 / 1.796 11) : 0 = 1.055 23
- 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.
Scenarios & local history
Compare a saved scenario
Recent calculations
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.
Where the numbers come from
- GM and mean radius from planetary ephemeris and spacecraft tracking solutions.