The Cosmic Perspective: The Solar System (8th Edition) (Bennett Science & Math Titles)
8th Edition
ISBN: 9780134073811
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 1, Problem 46EAP
Driving Trips. Imagine that you could drive your car at a constant speed of 100 km/hr (62 mi/hr), even across oceans and in space. (In reality, the law of gravity would make driving through space at a constant speed all but impossible.) How long would it take to drive
a. around Earth’s equator? b. from the Sun to Earth?
c. from the Sun to Pluto? d. to Alpha Centauri?
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1. Which planetary model allows a scientist to predict the exact positions of the planets in the night sky over many years?
2. Which object orbits Earth in both the Earth – centered (geocentric) and Sun – centered (heliocentric) models of our solar system?
3. What is the actual shape of the Earth’s orbit around the Sun?
Using Kepler’s Third Law (r3 = MT2 where M is the mass of the central star) find the orbital radius in astronomical units of this planet. M = 1.5 times the mass of the sun. Remember to convert days to years using 365.25 as the length of a year in days.
Key Points to know:
- The semimajor axis of the planet in AU is r = 0.0379 AU
- The circumference of the orbit is l = 3.562 x 10^10 m
- The orbital velocity in m/s is v = 1.874 x 10^5 m/s
Questions that need to be answered:
- With that orbital velocity, the radius of the orbit in meters, find the centripetal acceleration of our exoplanet:
- Knowing the acceleration that our planet experiences, calculate the force that the host star exerts on the planet:
- Knowing the force on the planet, the orbital radius, and the mass of the parent star, use the equation for gravitational force to find the mass of our planet (m2). (To get m1 in kg multiply the mass of the star in solar masses by 1.98 x 1030).
Chapter 1 Solutions
The Cosmic Perspective: The Solar System (8th Edition) (Bennett Science & Math Titles)
Ch. 1 - Prob. 1VSCCh. 1 - Prob. 2VSCCh. 1 - Prob. 3VSCCh. 1 - Prob. 4VSCCh. 1 - Prob. 1EAPCh. 1 - Define astronomical unit and light-year.Ch. 1 - Explain the statement “The farther away we look in...Ch. 1 - Prob. 4EAPCh. 1 - Prob. 5EAPCh. 1 - What do we mean when we say that the universe is...
Ch. 1 - In what sense are we “star stuff”?Ch. 1 - Use the cosmic calendar to describe how the human...Ch. 1 - Briefly explain Earth’s daily rotation and annual...Ch. 1 - Briefly describe our solar system’s location and...Ch. 1 - Prob. 11EAPCh. 1 - Prob. 12EAPCh. 1 - Prob. 13EAPCh. 1 - Does it Make Sense? Decide whether the statement...Ch. 1 - Prob. 15EAPCh. 1 - Prob. 16EAPCh. 1 - Prob. 17EAPCh. 1 - Prob. 18EAPCh. 1 - Prob. 19EAPCh. 1 - Prob. 20EAPCh. 1 - Prob. 21EAPCh. 1 - Prob. 22EAPCh. 1 - Which of the following correctly lists our ‘cosmic...Ch. 1 - An astronomical unit is (a) any planet’s average...Ch. 1 - The star Betelgeuse is about 600 light-years away....Ch. 1 - Prob. 26EAPCh. 1 - The total number of stars in the observable...Ch. 1 - Prob. 28EAPCh. 1 - Prob. 29EAPCh. 1 - Prob. 30EAPCh. 1 - Prob. 31EAPCh. 1 - Prob. 32EAPCh. 1 - Prob. 33EAPCh. 1 - Thinking About Scale. One key to success in...Ch. 1 - Prob. 35EAPCh. 1 - Prob. 36EAPCh. 1 - Prob. 37EAPCh. 1 - Prob. 38EAPCh. 1 - Prob. 39EAPCh. 1 - Prob. 40EAPCh. 1 - Prob. 41EAPCh. 1 - Spacecraft Communication. We use radio waves,...Ch. 1 - Prob. 43EAPCh. 1 - Prob. 44EAPCh. 1 - Prob. 45EAPCh. 1 - Driving Trips. Imagine that you could drive your...Ch. 1 - Faster Trip. Suppose you wanted to reach Alpha...Ch. 1 - Prob. 48EAPCh. 1 - Earth Rotation Speed. Mathematical Insight 1.3...Ch. 1 - Prob. 50EAPCh. 1 - Prob. 51EAPCh. 1 - Prob. 52EAPCh. 1 - Prob. 53EAPCh. 1 - Prob. 54EAP
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