The Cosmic Perspective
The Cosmic Perspective
7th Edition
ISBN: 9780321839558
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: Addison-Wesley
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Chapter 2, Problem 49EAP

Be sure to show all calculations clearly and state your final answers in complete sentences.

49. Latitude Distance. Earth's radius is approximately 6370 km.

a. What is Earth's circumference? b. What distance is represented by each degree of latitude? c. What distance is represented by each arcminute of latitude? d. Can you give similar answers for the distances represented by a degree or arcminute of longitude? Why or why not?

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BACKGROUND An ingenious solution to the Earth's circumference occured in 230 BC. Eratosthenes, a Greek geographer, mathematician, music theorist, poet, astronomer, and philosopher, was reading in the Library of Alexandria when he noticed an account for a deep well near Syene (now Aswan), some distance to the south (800 km) in which at high noon on the longest day of the year the bottom of the well was fully illuminated by the Sun. Eratosthenes exclaimed "Ah-ah!" (or something like that), "I can solve for the circumference of the Earth!". In his mind's eye, Eratosthenes could see that at Syene, at the moment when the bottom of the well was fully lit, the Sun must have been at the Zenith (directly overhead). Yet he knew that at the same moment in Alexandria vertical objects (like a tower, pole) cast shadows. Here is the experiment perfomed by Eratosthenes (see the picture below). • He erected a vertical pole at Alexandria (A) and measured the angle of its shadow at the moment when the…
Of the following methods, which one can you use to directly calculate the peak altitude of the Sun in the sky on that day?    a. by using the observer's watch and the Sun's azimuth   b. by using the observer's latitude and the Sun's right ascension   c. by using the observer's longitude and the ecliptic plane   d. by using the observer's latitude and the Sun's declination   e. by using the observer's altitude and the ecliptic plane
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Chapter 2 Solutions

The Cosmic Perspective

Ch. 2 - On a clear, dark night, the sky may appear to be...Ch. 2 - Why does the local sky look like a dome? Define...Ch. 2 - Prob. 5EAPCh. 2 - What are circumpolar stars? Are more stars...Ch. 2 - What are latitude and longitude? Does the sky vary...Ch. 2 - What is the zodiac, and why do we see different...Ch. 2 - Suppose Earth’s axis had no tilt. Would we still...Ch. 2 - Briefly describe key facts about the solstices and...Ch. 2 - What is precession? How does it affect what we see...Ch. 2 - Briefly describe the Moon’s cycle of phases. Can...Ch. 2 - Why do we always see the same face of the Moon?Ch. 2 - Why don’t we see an eclipse at every new and full...Ch. 2 - What do we mean by the apparent retrograde motion...Ch. 2 - Prob. 16EAPCh. 2 - Prob. 17EAPCh. 2 - Prob. 18EAPCh. 2 - Prob. 19EAPCh. 2 - Prob. 20EAPCh. 2 - Does It Make Sense? Decide whether the statement...Ch. 2 - Does It Make Sense? Decide whether the statement...Ch. 2 - Prob. 23EAPCh. 2 - Does It Make Sense? Decide whether the statement...Ch. 2 - Does It Make Sense? Decide whether the statement...Ch. 2 - Does It Make Sense? Decide whether the statement...Ch. 2 - Quick Quiz Choose the best answer to each of the...Ch. 2 - Quick Quiz Choose the best answer to each of the...Ch. 2 - Quick Quiz Choose the best answer to each of the...Ch. 2 - Prob. 30EAPCh. 2 - Quick Quiz Choose the best answer to each of the...Ch. 2 - Quick Quiz Choose the best answer to each of the...Ch. 2 - Quick Quiz Choose the best answer to each of the...Ch. 2 - Quick Quiz Choose the best answer to each of the...Ch. 2 - Quick Quiz Choose the best answer to each of the...Ch. 2 - Quick Quiz Choose the best answer to each of the...Ch. 2 - Earth-Centered or Sun-Centered? Decide whether...Ch. 2 - Shadow Phases. Many people incorrectly guess that...Ch. 2 - Lunar Phases and Time of Day. Roles: Scribe (takes...Ch. 2 - New Planet. A planet in another solar system has a...Ch. 2 - Your View of the Sky. a. What are your latitude...Ch. 2 - View from the Moon. Assume you live on the Moon,...Ch. 2 - View from the Sun. Suppose you lived on the Sun...Ch. 2 - A Farther Moon. Suppose the distance to the Moon...Ch. 2 - A Smaller Earth. Suppose Earth were smaller. Would...Ch. 2 - Observing Planetary Motion. Find out which planets...Ch. 2 - 47. A Connecticut Yankee. Find the book A...Ch. 2 - Be sure to show all calculations clearly and state...Ch. 2 - Be sure to show all calculations clearly and state...Ch. 2 - Be sure to show all calculations clearly and state...Ch. 2 - Be sure to show all calculations clearly and state...Ch. 2 - Prob. 52EAPCh. 2 - Prob. 53EAPCh. 2 - Prob. 54EAPCh. 2 - Be sure to show all calculations clearly and state...Ch. 2 - Prob. 56EAPCh. 2 - Prob. 57EAPCh. 2 - Prob. 58EAPCh. 2 - Prob. 59EAPCh. 2 - Prob. 60EAP
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