Your weight on Pluto

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
4.403
≈ Rounded Weight on Pluto
Your weight as a force
43.18
Your weight in pounds-force
9.71
Surface gravity
0.6168 m/s2
Gravity relative to Earth
0.062 90
How high that jump would take you
7.949
Time for something to fall one metre
1.801 s
Your weight on Earth for comparison
686.47
Show the working
  1. Your mass = 70
  2. How high you can jump on Earth = 0.5
  3. gm = 8.71e11 = 871 000 000 000
  4. radius = 1.1883e6 = 1 188 300
  5. Surface gravity = 871 000 000 000 / 1 188 300^2 = 0.616 831
  6. Gravity relative to Earth = 0.616 831 / 9.80665 = 0.062 899 2
  7. Your weight as a force = 70 * 0.616 831 = 43.1781
  8. Your weight there, in kilograms-force = 43.1781 / 9.80665 = 4.402 95
  9. Your weight in pounds-force = 43.1781 / 4.4482216152605 = 9.706 83
  10. How high that jump would take you = 0.616 831 > 0 ? 0.5 * 9.80665 / 0.616 831 : 0 = 7.949 22
  11. Time for something to fall one metre = 0.616 831 > 0 ? sqrt(2 * 1 / 0.616 831) : 0 = 1.800 66
  12. 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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