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Razael
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Homework Statement
Jupiter is about 320 times as massive as the Earth. Thus, it has been claimed that a person would be crushed by the force of gravity on a planet the size of Jupiter since people can’t survive more than a few g’s. Calculate the number of g’s a person would experience at the equator of such a planet. Use the following data for Jupiter, and take centripetal acceleration into account.
Mass = 1.9 x 1027kg
Equatorial radius = 7.1 x 102km (7.1 x 102m)
Rotation period = 9 hours, 55 minutes (35700 seconds/rotation)
Homework Equations
F = GMm/r2 = ma (or mar)
mar = mv2 / r
The Attempt at a Solution
F = (6.67 x 10-11)(1.97 x 1027)m / (7.1 x 107)2 = mar
m's cancel, I get a centripetal acceleration of 26.06m/s2
I also found velocity; 26.06m = mv2 / r
m's cancel once again, V = [tex]\sqrt{}26.06(7.1 x 10^7[/tex] = 43014.65m/s. Not sure if that's important.
And from there I have no clue. I don't know how to use the rotation period (I don't think they'd give me it if it wasn't important) and I have no idea how to use the centripetal acceleration to find g.
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