Your weight on Vesta
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
1.790
- Your weight as a force
- 17.55
- Your weight in pounds-force
- 3.95
- Surface gravity
- 0.2507 m/s2
- Gravity relative to Earth
- 0.025 57
- How high that jump would take you
- 19.556
- Time for something to fall one metre
- 2.824 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 = 1.729e10 = 17 290 000 000
- radius = 2.626e5 = 262 600
- Surface gravity = 17 290 000 000 / 262 600^2 = 0.250 73
- Gravity relative to Earth = 0.250 73 / 9.80665 = 0.025 567 3
- Your weight as a force = 70 * 0.250 73 = 17.5511
- Your weight there, in kilograms-force = 17.5511 / 9.80665 = 1.789 71
- Your weight in pounds-force = 17.5511 / 4.4482216152605 = 3.945 64
- How high that jump would take you = 0.250 73 > 0 ? 0.5 * 9.80665 / 0.250 73 : 0 = 19.5562
- Time for something to fall one metre = 0.250 73 > 0 ? sqrt(2 * 1 / 0.250 73) : 0 = 2.824 31
- 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.
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