The mass of Venus is 0.815 times the mass of Earth. The radius of Venus is 0.949
ID: 1559883 • Letter: T
Question
The mass of Venus is 0.815 times the mass of Earth. The radius of Venus is 0.949 that of Earth. What is the average density of Venus compared to Earth? If Venus has a rocky surface like Earth, is it likely that Venus has an iron core as does Earth? rho = M/V We take Venus to be a sphere, and the volume of a sphere is V = 4/3 pi r^3 a. Venus' density = 0.954 Earth; it is likely that Venus has an iron core. b. Venus' density = 0.954 Earth; it is unlikely that Venus has an iron core. c. Venus' density = 1.05 Earth; it is likely that Venus has an iron core. d. Venus' density = 1.05 Earth; it is likely that Venus has an iron core.Explanation / Answer
Given, Mv = 0.815 Me
Where Mv mass of the venus and Me mass of the earth
Vv = (4/3)* *(0.949Re)^3= 0.854(4/3)* *(Re)^3 =0.854 Ve
Where Vv volume of the venus and Ve volume of the earth
Density of the Venus = Mv / Vv = (0.815 Me)/(0.854 Ve) = 0.954 times of density of earth.
If Venus has iron core, the density would have been more than the density of earth.
So option (b) is correct answer.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.