The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 7, Problem 44EAP
Size Comparisons. How many Earths could fit inside Jupiter (assuming you could fill up all the volume)? How many Jupiters could fit inside the Sun? The equation for the volume of a sphere is
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1. The diameter of the Sun is equal to 1.392*10^9 m, and the distance from the Sun to Saturnis equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system,and you are using a volleyball with average diameter of 21 cm to represent the Sun. a) In your scale model, how far away would Saturn be from the Sun? Give your answer inmeters.b) The actual diameter of Saturn is 116,460 km. What would be Saturn’s diameter in yourscale model? Give your answer in centimeters.
How many orders of magnitude do you need to grow in spatial scale (size) to form a planet? Let's
take the extreme ends of this scale, from a dust particle of radius a = 10-6m to the gas giant Jupiter
(you can round up its radius to the nearest ten to keep it simple). What else has this difference in
order of magnitude? Maybe pick something that's not a length scale. Be creative!
I. Directions: Complete the given table by finding the ratio of the planet's time of revolution to its radius.
Average
Radius of
Orbit
Times of
Planet
R3
T2
T?/R3
Revolution
Mercury
5.7869 x 1010
7.605 x 106
Venus
1.081 x 1011
1.941 x 107
Earth
1.496 x 1011
3.156 x 107
1. What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support?
II. Solve the given problems. Write your solution on the space provided before each number.
1. You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. Find the
following:
a) Speed
b) Period
c) Radial Acceleration
Given:
Unknown:
Formula:
Solution:
Answer:
Given:
Unknown:
Formula:
Solution:
Answer:
Given:
Unknown:
Formula:
Solution:
Answer:
Chapter 7 Solutions
The Cosmic Perspective (9th Edition)
Ch. 7 - Prob. 1VSCCh. 7 - Use the following questions to check your...Ch. 7 - Use the following questions to check your...Ch. 7 - Use the following questions to check your...Ch. 7 - What do we mean by comparative planetology? Does...Ch. 7 - What would the solar system look like to your...Ch. 7 - Briefly describe the overall layout of the solar...Ch. 7 - For each of the objects in the solar system tour...Ch. 7 - Briefly describe the patterns of motion that we...Ch. 7 - What are the basic differences between the...
Ch. 7 -
7. What do we mean by hydrogen compounds? In...Ch. 7 -
8. What are asteroids? What are comets? Describe...Ch. 7 - What kind of object in Pluto? Explain.Ch. 7 - What is the Kuiper belt? What is the Oort cloud?...Ch. 7 - Describe at least two “exceptions to the rules”...Ch. 7 - Describe and distinguish between space missions...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Why Wait? To explore a planet, we often send first...Ch. 7 - Prob. 35EAPCh. 7 - Prob. 37EAPCh. 7 - Patterns of Motion. In one or two paragraphs,...Ch. 7 - Solar System Trends. Answer the following based on...Ch. 7 - Comparing Planetary Conditions. Use both Table 7.1...Ch. 7 - Prob. 41EAPCh. 7 - Size Comparisons. How many Earths could fit inside...Ch. 7 - Asteroid Orbit. Ceres, the largest asteroid, has...Ch. 7 - Density Classification. Calculate the density of a...Ch. 7 - Comparative Weight. Suppose you weigh 100 pounds....Ch. 7 - New Horizons Speed. On its trajectory to Pluto,...Ch. 7 - Planetary Parallax. Suppose observers at Earth’s...
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- 5. A spherical planet has a mass of 5 X 1024 kg. Its diameter is 10,000 km. First calculate its vol- ume in meters (1 km = 1000 m). Then calculate its density (Mass/Volume) in kg/m³.arrow_forwardProblem 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_forwardTutorial Sheet One 1. Add 1 cm and 1 m. 2. Divide 3 m5 by 2 m0.5. 3. Multiply 2 ft by 4 lb. 4. Electronic communication via radio travels at approximately the speed of light (186,000 miles/second). The edge of the solar system is roughly at Pluto, which is 3.6 × 10° miles fromarrow_forward
- 1. The diameter of the Sun is equal to 1.392 × 10⁹ m, and the distance from the Sun to Saturn is equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system, and you are using a volleyball with average diameter of 21 cm to represent the Sun. a) In your scale model, how far away would Saturn be from the Sun? Give your answer in meters. b) The actual diameter of Saturn is 116,460 km. What would be Saturn's diameter in your scale model? Give your answer in centimeters.arrow_forwardYou are making a scale model to visualize the relative sizes of the planets in our solar system. The scale of the model is: 1 cm = 2000 km. The radius of Saturn is 60,000 km. At what radius will Saturn appear on your scale model?arrow_forwardYou can determine the radius of a planet by measuring the change in the flux coming from the star (i.e. the transit method). If the radius of the planet increases, the overall flux decreases, but what happens to the change in the flux? Hint: the change in a quantity is represented by the uppercase delta or triangle symbol. Group of answer choices - Increases - Decreases - Stays constant - Fortnitearrow_forward
- Name Date Use the table to answer questions 13 through 15. NAME DISTANCE FROM AVERAGE ΤΥΡΕ ORBIT DIAMETER SUN (Million Miles) (Earth Days) (Miles) 3,032 TEMPERATURE ('C) Mercury 35 5,800 Terrestrial 88 Venus 67 260 Terrestrial 224 7,521 Earth 93 365 7,926 15 Terrestrial Mars 142 260 Terrestrial 687 4,222 Jupiter 484 2150 Gas 4332 88,846 74,898 31,763 Saturn 887 2170 Gas 10755 Uranus 1,784 2200 Gas 30687 Neptune 2,795 2220 Gas 60190 30,778arrow_forward6. How much more/less would you weigh on the surface of Pluto? Give your answer as a number of multiples (ex. 2.4 times). Note: Pluto has a radius of 1.188.3km, mass of 1.303 ×102 kg, and a Sidereal rotation period of 6.387230 days.arrow_forwardWhy is Jupiter so much richer in hydrogen and helium than Earth?arrow_forward
- Imagine that astronomers have just discovered a planet orbiting another star (other than the Sun), and they have reported the mass of the planet as 4.2 Jupiter-masses. Explain in a few words what this means.arrow_forwardUntil recently, the term "planet" had no clear-cut definition. In August of 2006, leading astronomers established new guidelines and declared that Pluto is no longer a planet. Which of the following is either false or least consistent with the new guidelines? Group of answer choices Pluto is by far the largest known object in the Kuiper belt, while Eris is the largest known object in the asteroid belt. A planet must have cleared the neighborhood around its orbit. Pluto is automatically disqualified from being a planet because its oblong orbit overlaps with Neptune's. A planet must have sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a nearly round shape. Pluto and the asteroid Ceres are both now classified as dwarf planets.arrow_forward1. The diameter of the Sun is equal to 1.392 × 10⁹ m, and the distance from the Sun to Saturn is equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system, and you are using a volleyball with average diameter of 21 cm to represent the Sun.arrow_forward
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