The Essential Cosmic Perspective (8th Edition)
8th Edition
ISBN: 9780134446431
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Textbook Question
Chapter 8, Problem 48EAP
Saturn’s Thin Rings. Saturn's riing system is over 270,000 kilometers wide and approximately 50 meters thick. Assuming 1he rings could be shrunk down so tha1 their diameter was the width of a dollar bill (6.6 centimeters), how thick would the rings be? Compare your answer to the actual thickness of a dollar bill (0.01 centi meter).
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I would like you to compare the thickness of Saturn's rings to objects here on Earth if those rings were scaled down to the size of the objects here on Earth (hint: this means it is a ratio problem). Imagine the rings of Saturn like a DVD or CD here on Earth. The DVD has a diameter of approximately 12 cm, whereas the rings of Saturn have a diameter of approximately 280,000 km. The thickness of a DVD is about 0.6 mm and the thickness of the rings of Saturn at their thickest is approximately 1 km. If we were to scale the diameter of rings of Saturn down to the diameter of a DVD, how does the new thickness of the rings of Saturn compare to the thickness of the DVD? Please provide both the new thickness of Saturn's rings and how many times thicker or thinner they would be than a CD in your answer.
4) Science fiction movies often portray asteroid belts as crowded, dense regions that
require spaceships to maneuver quickly to get through them. In this problem, we will
calculate the fraction of volume in an asteroid belt that is actually occupied by
asteroids.
a) If there are 300,000 large asteroids between 2 and 3 AU from the Sun, and each
asteroid is assumed to be spherical with a radius of 100 km, determine the total
volume occupied by asteroids in this region. Recall that the volume of a sphere is
given by the equation V = 4TR³ /3.
b) Let's assume the region in which these asteroids orbit is an annulus with an inner
radius of 2 AU, an outer radius of 3 AU, and a thickness of 2Ro. Determine the
volume of this region. Recall that the area of a circle is given by the equation
A = TR². Here are two conversions that you'll need: 1 AU = 1.496 × 108 km
and 1 Ro = 6.955 × 105 km.
c) What is the ratio of the volume occupied by asteroids to the volume of the
asteroid belt (i.e., the…
Chapter 8 Solutions
The Essential Cosmic Perspective (8th Edition)
Ch. 8 - Prob. 1VSCCh. 8 - Prob. 2VSCCh. 8 - Prob. 3VSCCh. 8 - Prob. 4VSCCh. 8 - Prob. 1EAPCh. 8 - Prob. 2EAPCh. 8 - Prob. 3EAPCh. 8 - Prob. 4EAPCh. 8 - Prob. 5EAPCh. 8 - Prob. 6EAP
Ch. 8 - Prob. 7EAPCh. 8 - Describe key features of Jupiter's four Galilean...Ch. 8 - Prob. 9EAPCh. 8 - Why do we think Triton is a captu red moon? How...Ch. 8 - Briefly explain why icy moons can have active...Ch. 8 - What ar e planetary rings made of, and how do they...Ch. 8 - Prob. 13EAPCh. 8 - Saturn’s core is pockmarked with impact craters...Ch. 8 - Neptune's deep bllle color is not due to methane,...Ch. 8 - A jovian planet in another star system has a moon...Ch. 8 - A planet orbiting another star is made primarily...Ch. 8 - A previously unknown moon orbits Jupiter outside...Ch. 8 - Prob. 19EAPCh. 8 - An icy, medium-size moon orbits a jovian planet in...Ch. 8 - A jovian planet is discovered in a star system...Ch. 8 - Future observations discover rainfall of liquid...Ch. 8 - During a future mission to Uranus, scient ists...Ch. 8 - Which lists the jovian planets in order of...Ch. 8 - Why does Neptune appear blue and Jupiter red? (a)...Ch. 8 - Prob. 26EAPCh. 8 - Prob. 27EAPCh. 8 - 28. The main ingredients of most moons of the...Ch. 8 - Prob. 29EAPCh. 8 - Prob. 30EAPCh. 8 - Whid1 moon shows evidence of rainfall and erosion...Ch. 8 - Prob. 32EAPCh. 8 - Prob. 33EAPCh. 8 - 34. Europan Ocean. Scientists strong ly suspect...Ch. 8 - Breaking the Rules. As discussed in Chapter 7, the...Ch. 8 - Unanswered Question. Choose one unans wered...Ch. 8 - Comparing Jovian Moons. Roles: Scribe (collect s...Ch. 8 - The Importance of Rotation. Suppose the material...Ch. 8 - Comparing Jovian Planets. You can do comparative...Ch. 8 - Prob. 40EAPCh. 8 - Prob. 41EAPCh. 8 - Prob. 42EAPCh. 8 - Disappearing Moon. lo loses about a ton (1000...Ch. 8 - 44. Ring Particle Collisions. Each ring particle...Ch. 8 - Prometheus and Pandora. These two moons orbit...Ch. 8 - Prob. 46EAPCh. 8 - Titanic Titan. What is the ratio of Titan's mass...Ch. 8 - Saturn’s Thin Rings. Saturn's riing system is over...Ch. 8 - Jovian Planet Mission. We can study terrestrial...Ch. 8 - Prob. 50EAPCh. 8 - Prob. 51EAPCh. 8 - Prob. 52EAP
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