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Your weight on Uranus

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
64.296
≈ Rounded Weight on Uranus
Your weight as a force
630.53
Your weight in pounds-force
141.75
Surface gravity
9.0076 m/s2
Gravity relative to Earth
0.918 51
How high that jump would take you
0.544
Time for something to fall one metre
0.471 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 = 5.793939e15 = 5 793 940 000 000 000
  4. radius = 2.5362e7 = 25 362 000
  5. Surface gravity = 5 793 940 000 000 000 / 25 362 000^2 = 9.007 55
  6. Gravity relative to Earth = 9.007 55 / 9.80665 = 0.918 515
  7. Your weight as a force = 70 * 9.007 55 = 630.529
  8. Your weight there, in kilograms-force = 630.529 / 9.80665 = 64.296
  9. Your weight in pounds-force = 630.529 / 4.4482216152605 = 141.749
  10. How high that jump would take you = 9.007 55 > 0 ? 0.5 * 9.80665 / 9.007 55 : 0 = 0.544 357
  11. Time for something to fall one metre = 9.007 55 > 0 ? sqrt(2 * 1 / 9.007 55) : 0 = 0.471 207
  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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