Your weight on the Moon
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
11.599
- Your weight as a force
- 113.74
- Your weight in pounds-force
- 25.57
- Surface gravity
- 1.6249 m/s2
- Gravity relative to Earth
- 0.165 69
- How high that jump would take you
- 3.018
- Time for something to fall one metre
- 1.109 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 = 4.9048695e12 = 4 904 870 000 000
- radius = 1.7374e6 = 1 737 400
- Surface gravity = 4 904 870 000 000 / 1 737 400^2 = 1.6249
- Gravity relative to Earth = 1.6249 / 9.80665 = 0.165 694
- Your weight as a force = 70 * 1.6249 = 113.743
- Your weight there, in kilograms-force = 113.743 / 9.80665 = 11.5986
- Your weight in pounds-force = 113.743 / 4.4482216152605 = 25.5705
- How high that jump would take you = 1.6249 > 0 ? 0.5 * 9.80665 / 1.6249 : 0 = 3.017 61
- Time for something to fall one metre = 1.6249 > 0 ? sqrt(2 * 1 / 1.6249) : 0 = 1.109 43
- 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
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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.