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@novas0x2a
Created April 19, 2013 04:41
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hm. calculating whether a human could jump to escape is KE = PE*m
KE = (momentum^2)/(2*human-mass) = (1/2)mv^2
PE = (G * planet-mass) / distance-from-center
I weigh ~77kg
my jump-height is 50cm
I derive my jump velocity from:
v^2 = 2*g*h
v = sqrt(2 * g * 50)
v = 31.3 m/s
KE = (1/2)mv^2
KE = 37718 J
PE_earth_sealevel = G * (5.9742 × 10^24) / 6371km
PE_earth_sealevel = 62573907 (J/kg)
PE_moon_sealevel = 2822589 (J/kg)
PE_phobos_sealevel = 64 (J/kg) (for me: 64 * 77 = 4928J)
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