The Cosmic Perspective Fundamentals (2nd Edition)
2nd Edition
ISBN: 9780133889567
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 6, Problem 8QQ
Choose the best answer to each of the following. Explain your reasoning.
The asteroid belt lies between the orbits of (a) Earth and Mars. (b) Mars and Jupiter. (c) Jupiter and Saturn.
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Table 11.1 presents Djup and Pday for the major Jovian satellites. First use these data and the equation above to calculate Jupiter’s mass in kilograms (kg). Enter your results in the table for each satellite. Next calculate the average Jupiter mass (Mjup, av) and enter the result in the table. Finally, calculate the percent difference (PD) using Mjup, av and the standard value for Jupiter’s mass (1.9 X 1027 kg). In the calculation of PD you can ignore 1027 because it will appear in both numerator and denominator.
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Table 11.1 Calculated values for Jupiter’s Mass
Satellite Djup Pday Mjup
Io 2.95 1.77
Europa 4.69 3.55
Ganymede 7.50 7.15
Callisto 13.15 16.7
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Average Jupiter Mass = Percent Difference =
We need to create a scale model of the solar system (by shrinking the sun down to the size of a basketball or ~30cm). First, we will need to scale down actual solar system dimensions (planet diameters and average orbital radiuses) by converting our units. There are two blank spaces in the table below. We will effectively fill in the missing data in the next set of questions. Use the example below to help you.
Example: What is the scaled diameter of Mercury if the Sun is scaled to the size of a basketball (30 cm)?
The actual diameter of Mercury is 4879 km
The Sun's diameter is 1392000 km
If the Sun is to be reduced to the size of a basketball, then the conversion we need for this equation will be:
30cm1392000km
Here is how we run the conversion: 4879km×30cm1392000km=0.105cm or 0.11cm if we were to round our answer.
This means that if the sun in our model is the size of a basketball, Mercury is the size of a grain of sand. We can also see by looking at the table, that we would…
Suppose there were a planet in our Solar System orbiting at a distance of 0.5 AU from theSun, and having ten times the mass and four times the radius of Earth. For reference, theEarth has a mass of 5.97 × 1024 kg and a radius of 6,378 km a) Calculate the density of this hypothetical planet.b) Based on your answer from part a), what do you think this planet would be made of?Explain your reasoning.c) Do this planet’s properties agree with the condensation theory for the formation of ourSolar System? Why or why not?
Chapter 6 Solutions
The Cosmic Perspective Fundamentals (2nd Edition)
Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Choose the best answer to each of the following....
Ch. 6 - Choose the best answer to each of the following....Ch. 6 - Prob. 12QQCh. 6 - Explain all answers clearly, with complete...Ch. 6 - Explain all answers clearly, with complete...Ch. 6 - Explain all answers clearly, with complete...Ch. 6 - Explain all answers clearly, with complete...Ch. 6 - Explain all answers clearly, with complete...Ch. 6 - Explain all answers clearly, with complete...Ch. 6 - Prob. 19SEQCh. 6 - Explain all answers clearly, with complete...Ch. 6 - Explain all answers clearly, with complete...
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- Problem 4. Physical Features of the Giant Planets: Volume and Density of Jupiter (Palen, et. al. 1st Ed. Chapter 8 Problem 57 ) Jupiter is an oblate (Links to an external site.) planet with an average radius of 69,900 km, compared to Earth’s average radius of 6,370 km. How many Earth volumes could fit inside Jupiter? Jupiter is 318 times as massive as the Earth. How does Jupiter’s density compare (Links to an external site.) to that of Earth?arrow_forwardUsing Appendix G, complete the following table that describes the characteristics of the Galilean moons of Jupiter, starting from Jupiter and moving outward in distance. Table A This system has often been described as a mini solar system. Why might this be so? If Jupiter were to represent the Sun and the Galilean moons represented planets, which moons could be considered more terrestrial in nature and which ones more like gas/ice giants? Why? (Hint: Use the values in your table to help explain your categorization.)arrow_forwardLet's use Kepler's laws for the inner planets. Use the following distances from the sun to calculate the orbital period for each of these planets. Express your answer in terms of Earth years to two significant figures. Note: Use Kepler's law directly. Don't just Google the answers, as they will be a little bit different. When you have calculated them, only submit the value for Mercury. Planet Distance from the sun Period of orbit around the sun Earth 150 million km ___ Earth years Mercury 58 million km ___ Earth years Venus 108 million km ___ Earth years Mars 228 million km ___ Earth yearsarrow_forward
- Using Kepler's 3rd law solve the following problem. Show your work and highlight your answer. In a distant star system there are many inhabitable planets. One of these planets is named Qomar. Qomar is 3.2 AU's from its star and takes 6.5 Earth years to go around its star once. There is another planet in the same star system called Ferenginar. Ferenginar is 0.9 AUs from the star. What is the length of a Ferengi year (on Ferenginar) in terms of Earth years?arrow_forwardProblem 2. Planetary Body Composition: Density (Links to an external site.) of the Earth (Palen, et. al., 1st Edition, Chapter 6, problem 70) Earth’s mean (Links to an external site.) radius is 6,378 km and its mass is 5.97 x 1024 kg. CALCULATE Earth’s average (Links to an external site.) density. SHOW YOUR WORK. DO NOT LOOK UP THIS VALUE! The average density of Earth’s crust is 2,600 kg/m3. What does this tell you about Earth’s interior?arrow_forwardShow your complete, clear and detailed solution. Please explain also how did you get your answer. Thank you.arrow_forward
- Let's use Kepler's laws for the inner planets. Use the following distances from the sun to calculate the orbital period for each of these planets. Express your answer in terms of Earth years to two significant figures. Answer for the highlighted planet in each question. Note: Use Kepler's law directly. Don't just Google the answers, as they will be a little bit different. When you have calculated them, only submit the value for Earth. Planet Distance from the sun Period of orbit around the sun Earth 150 million km ___ Earth years Mercury 58 million km ___ Earth years Venus 108 million km ___ Earth years Mars 228 million km ___ Earth yearsarrow_forwardAs discussed in class, the moon is receding from the Earth due to tides at a rate of ~4 cm/year. Let’s assume that rate has been constant throughout time (it wasn’t, but we can use it to illustrate some key points). Its current semi-major axis is 384,400 km.a) If the moon formed 4.5 billion years ago and has been receding from the Earth ever since, what was its original semi-major axis? What was its original orbital period?b) What would the apparent size of the Moon have been in the sky as viewed from Earth? That is, in Hmwk 2, you were told the diameter of the Moon spans about 0.5o when viewed from Earth today. What would it have been when the Moon first formed? Reletive Numbers Relevant Numbers1 AU = 150,000,000 km = 1.5x108 kmEccentricity of Earth’s Orbit: 0.0167Radius of Earth: 6371 kmMass of Earth: 5.96x1024 kgRadius of the Moon: 1737 kmMass of Moon: 7.34x1022 kgRadius of Mars: 3390 kmMass of Mars: 6.4x1023 kgRadius of the Sun: R⦿=696,300 kmMass of the Sun: M⦿=2x1030…arrow_forwardSuppose there were a planet in our Solar System orbiting at a distance of 0.5 AU from the Sun, and having ten times the mass and four times the radius of Earth. For reference, the Earth has a mass of 5.97 × 10*24 kg and a radius of 6,378 km. a)Calculatethe density of this hypothetical planet. b)Basedon your answer from part a), what do you think this planet would be made of? Explain your c)Dothis planet’s properties agree with the condensation theory for the formation of our Solar System? Why or why not?arrow_forward
- Impact Energy. Consider a comet about 2 kilometers across with a mass of 4 × 1012 kg. Assume that it crashes into Earth at a speed of 30,000 meters per second (about 67,000 miles per hour). a. What is the total energy of the impact, in joules? (Hint: The kinetic energy formula tells us that the impact energy in joules will be 1 × m × v2, where 2 m is the comet’s mass in kilograms and v is its speed in meters per second.) b. A 1-megaton nuclear explosion releases about 4 × 1015 joules of energy. How many such nuclear bombs would it take to release as much energy as the comet impact? c. Based on your answers, comment on the degree of devastation the comet might cause.arrow_forwardbetween a planet and its moon. Procedure/Analysis: Go to: https://www.physicsclassroom.com/Physics-Interactives/Circular-and-Satellite- Motion/Gravitational-Fields/Gravitational-Fields-Interactive Use the program to answer the following questions. 1. A planet and its moon are shown in the simulation window. Click and drag the moon to various positions about the planet and observe the gravitational force vector. In the diagram below, draw a force vector (arrow with arrowhead) to depict the direction and relative magnitude of the force acting upon the moon at the designated locations. Note: the size of the arrow should be representative of the strength of the force.arrow_forwardAre the planets really lined up as we have them in this model? (Model is the image attatched). What is the minimum possible distance in AU between Mars and Earth? What is the maximum possible distance in AU between Mars and Eath? Show your work if possible. Thanks so much :)arrow_forward
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