Question 2: Suppose that a planet has a radius R and its density can be described as y(r) = R+ry (0 ≤ r ≤ R), where yo is the density at r = R. 2r Find the mass of this planet and compare it with a reference planet having a homogeneous density of yo. How much is this planet heavier than the reference planet?
Question 2: Suppose that a planet has a radius R and its density can be described as y(r) = R+ry (0 ≤ r ≤ R), where yo is the density at r = R. 2r Find the mass of this planet and compare it with a reference planet having a homogeneous density of yo. How much is this planet heavier than the reference planet?
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
Transcribed Image Text:Question 2: Suppose that a planet has a radius R and its density can be described as
R+r
y(r) = -Yo (0 ≤r ≤R), where yo is the density at r = R.
2r
Find the mass of this planet and compare it with a reference planet having a homogeneous density of Yo. How
much is this planet heavier than the reference planet?
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