Your weight on Ceres
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
1.998
- Your weight as a force
- 19.60
- Your weight in pounds-force
- 4.41
- Surface gravity
- 0.2799 m/s2
- Gravity relative to Earth
- 0.028 55
- How high that jump would take you
- 17.515
- Time for something to fall one metre
- 2.673 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 = 6.26325e10 = 62 632 500 000
- radius = 4.73e5 = 473 000
- Surface gravity = 62 632 500 000 / 473 000^2 = 0.279 948
- Gravity relative to Earth = 0.279 948 / 9.80665 = 0.028 546 8
- Your weight as a force = 70 * 0.279 948 = 19.5964
- Your weight there, in kilograms-force = 19.5964 / 9.80665 = 1.998 27
- Your weight in pounds-force = 19.5964 / 4.4482216152605 = 4.405 44
- How high that jump would take you = 0.279 948 > 0 ? 0.5 * 9.80665 / 0.279 948 : 0 = 17.5151
- Time for something to fall one metre = 0.279 948 > 0 ? sqrt(2 * 1 / 0.279 948) : 0 = 2.672 86
- 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.
Where the numbers come from
- GM and mean radius from planetary ephemeris and spacecraft tracking solutions.