Your weight on Earth
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
70.097
- Your weight as a force
- 687.42
- Your weight in pounds-force
- 154.54
- Surface gravity
- 9.8203 m/s2
- Gravity relative to Earth
- 1.001 39
- How high that jump would take you
- 0.499
- Time for something to fall one metre
- 0.451 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 = 3.986004418e14 = 398 600 000 000 000
- radius = 6.371e6 = 6 371 000
- Surface gravity = 398 600 000 000 000 / 6 371 000^2 = 9.820 25
- Gravity relative to Earth = 9.820 25 / 9.80665 = 1.001 39
- Your weight as a force = 70 * 9.820 25 = 687.418
- Your weight there, in kilograms-force = 687.418 / 9.80665 = 70.0971
- Your weight in pounds-force = 687.418 / 4.4482216152605 = 154.538
- How high that jump would take you = 9.820 25 > 0 ? 0.5 * 9.80665 / 9.820 25 : 0 = 0.499 308
- Time for something to fall one metre = 9.820 25 > 0 ? sqrt(2 * 1 / 9.820 25) : 0 = 0.451 288
- 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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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.