Uranus's moon Titania has a radius of 7.89 ✕ 105 m and a measured gravitational field...
Uranus's moon Titania has a radius of 7.89 ✕ 105 m and a measured gravitational field of 0.377 m/s2. What is its mass (in kg)?
Homework Answers
Gravitational field of a object is given by:
g = GM/R^2
G = gravitational constant = 6.67*10^-11
M = Mass of object (Titania) = ?
R = radius of Titania = 7.89*10^5 m
So,
M = g*R^2/G
M = 0.377*(7.89*10^5)^2/(6.67*10^-11)
M = 3.52*10^21 kg = Mass of Titania
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