Imagine a planet, which we\'ll call Berth, orbiting a star identical to the Sun
ID: 231456 • Letter: I
Question
Imagine a planet, which we'll call Berth, orbiting a star identical to the Sun at a distance of 1 AU. Assume that Berth has eight times as much mass as Earth, and is twice as large as Earth in diameter.
How does Berth's density compare to Earth's?
Express your answer using one significant figure.
Problem7.52 Part A Imagine a planet, which we'll call Berth, orbiting a star identical to the Sun at a distance of 1 A Assume that Berth has eight times as much mass as Earth, and is twice as large as Earth in diameter How does Berth's density compare to Earth's? Express your answer using one significant figure PBerth PEarth Submit My Answers Give Up Incorrect Iry Again Part B How does Berth's surface area compare to Earth's? Express your answer using one significant figure SBerth= 4 S Earth Submit My Answers Give Up Correct Part C Based on your answers to parts A and B, discuss how Berth's geological history is likely to have differed from Earth's. Essay answers are limited to about 500 words (3800 characters maximum, including spaces) 3800 Character(s) remainingExplanation / Answer
p = m / v
V = 4/3 pi r3
V = 4/3 pi (twice * earth radius)3
Vberth / Vearth = [ 4/3 pi (twice * earth radius)3 ] / [ 4/3 pi ( earth radius)3 ]
= 8 earth volumes
p = m / V = 8 times earth mass / 8 earth volumes
Mberth = 8 * 5.97 * 1024 = 4.776 * 1025 kg
V = 4 / 3 pi r3 = 4 / 3 pi (1.28 * 107)3
= 8.78 * 1021 m3
Denssity of earth = 4.776 * 1025 / 8.78 * 1021
= 5444 kg/m3
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S = pi d2
Sberth/Searth = pi dberth2 / pi dearth2
= 22 / 12 = 4