ps04 - Astronomy 10, Fall 2008 Homework 4 - 40 points total...

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Unformatted text preview: Astronomy 10, Fall 2008 Homework 4 - 40 points total Due in the boxes in the basement of Campbell Hall by 5pm Tuesday, September 30 . Be sure to include your name, SID, Section Number, and GSI name on your homework, and staple it together. 1. Inside the Giant (12 points) In this question we will crudely estimate the radius of Jupiters inner, rocky core. We suppose that Jupiters total mass, M J , consists of its rocky core mass, M c , and the mass of the gas, M g . Throughout this question do not plug in numbers until you get to part (e). (a) Let the radius of Jupiters rocky core be r c , and the density of the core c . What is the mass, M c , of Jupiters core in terms of c and r c ? (2 points) (b) What is the volume of the shell of gas that extends beyond Jupiters core? Assume that this shell begins at the radius of the core, r c , and ends at the full radius of Jupiter, R J . (2 points) (c) Let us call the density of the gas g . What is the mass, M g , of all of Jupiters gas in terms of g and your answer to part (b)? (1 point) (d) Use your answers in part (a) and (c) to express the total mass of Jupiter, M J , in terms of g , c , R J , and r c . (1 point) (e) You can now substitute in numbers and solve for r c , the radius of Jupiters rocky core. The total mass of Jupiter is M J = 2 10 30 g and its radius is R J = 7 10 9 cm. Take the density of the gas to be 1 g/cm 3 , and the density of the rock to be 10 g/cm...
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This note was uploaded on 07/09/2010 for the course ASTRO 10 taught by Professor Norm during the Fall '06 term at University of California, Berkeley.

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ps04 - Astronomy 10, Fall 2008 Homework 4 - 40 points total...

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