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by dennisgorelik
4580 days ago
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I suspected that time difference between falls would be not linear, but I was not sure about actual ratio. Playing with freefall distance equations showed that time to fall difference is square root of 6. Here we are: Height = gEarth*timeOnEarth^2/2 = gMoon*timeOnMoon^2/2
gEarth = gMoon * 6
6 * gMoon * timeOnEarth^2/2 = gMoon * timeOnMoon^2/2
6 * timeOnEarth^2 = timeOnMoon^2
timeOnMoon = sqrt(6 * timeOnEarth^2)
timeOnMoon = sqrt(6) * timeOnEarth = 2.45 * timeOnEarth
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