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Lavinia Carroll

Feb 20, 2025

What is the acceleration due to gravity at the surface of Titania?

Titania, the largest moon of the planet Uranus, has 1/8 the radius of the earth and 1/1700 the mass of the earth.What is the acceleration due to gravity at the surface of Titania?What is the average density of Titania? (This is less than the density of rock, which is one piece of evidence that Titania is made primarily of ice.) Thank you for the help!
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Mina Herzog

Feb 20, 2025

g' = g(m/M)(R/r)^2; where g = 9.81 m/s^2, m = M/1700, r = R/8. Thus...g' = 9.81(1/1700)(8)^2 = 0.369 m/s^2 on Titania. ANS.rho = m/(4/3 pi r^3) = (M/1700)/(4/3 pi (R/8)^3) = ? the density kg/m^3 of Titania R = 6400E3 m Earth radius and look up M = ? Earth's mass in kg. ANS.... Show More
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