The mass of Jupiter is 317.8000 times that of earth,and its radius is 10.960 tim
ID: 1681500 • Letter: T
Question
The mass of Jupiter is 317.8000 times that of earth,and its radius is 10.960 times that of earth. Calculate theacceleration of gravity at the surface of Jupiter. Express youranswer in g's (i.e. as a ratio to our acceleration of gravity).and also
Calculate theaverage density of Jupiter (in kg/m3) given the earth'sdensity is5.52×103 kg/m3.
and also
Calculate theaverage density of Jupiter (in kg/m3) given the earth'sdensity is5.52×103 kg/m3.
Explanation / Answer
We know that a = GM /r2 So that we have aE / aJ = (ME / MJ ) * (rJ / rE)2 = (1 / 317.8) * (10.96 / 1)2 = 0.3779 ==> aJ = aE / 0.3779 = 2.645 aE = 2.645 g average density = mass / volume = 317.8 ME / (4/3)r3E *(10.96)3 = (317.8 / 1316.53) * E = 1.332 x 103 kg/m3
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