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 S3, Problem 42EAP
Alternative Geometries. Find three everyday objects that obey the rules of each of the three basic types of geometry—flat, spherical, and saddle shaped. Describe each object and explain how you know which geometry it has.
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Given the cylindrical coordinates: A(5,30°, 6) and B(7, 60°, -3)
A. Convert the point A into spherical coordinates.
B. Convert the point B into spherical coordinates.
In 1993 the Galileo spacecraft sent home an image of asteroid "243 Ida" and a tiny moon "Dactyl" orbiting the asteroid. Assume that the small moon orbits in a circle with a radius of r = 100 km from the center of the asteroid with an orbital period of T = 27 hours.
a. Show and explain how we derived Kepler's 3rd law using Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force.
b. Use your result for Kepler's 3rd Law to determine the mass of the asteroid.
c. If the asteroid has a radius of about 16 km calculate the approximate value for the acceleration due to gravity, g, on its surface.
d. What velocity would you need to achieve in order to lift off and leave this asteroid?
e. Use Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force to determine an expression for circular orbital velocity.
f. What is the orbital velocity of the small moon if we assume it is in a circular orbit?
Please explain your answer. Please write clearly. Please only answer if you are good at explaining physics concepts.
Chapter S3 Solutions
The Cosmic Perspective (9th Edition)
Ch. S3 - Prob. 1EAPCh. S3 - Prob. 2EAPCh. S3 - Prob. 3EAPCh. S3 - Prob. 4EAPCh. S3 - Prob. 5EAPCh. S3 - What is a space time diagram? Define worldline and...Ch. S3 - 7. How do rules of geometry differ depending on...Ch. S3 - Prob. 8EAPCh. S3 - Prob. 9EAPCh. S3 - 10. According to general relativity, what is...
Ch. S3 - Prob. 11EAPCh. S3 - What is gravitational time dilation. What...Ch. S3 - Prob. 13EAPCh. S3 - Prob. 14EAPCh. S3 - Prob. 15EAPCh. S3 - Does It Make Sense? Decide whether the statement...Ch. S3 - Prob. 17EAPCh. S3 - Prob. 18EAPCh. S3 - Prob. 19EAPCh. S3 - Prob. 20EAPCh. S3 - Prob. 21EAPCh. S3 - Does It Make Sense?
Decide whether the statement...Ch. S3 - Prob. 23EAPCh. S3 - Prob. 24EAPCh. S3 - Prob. 25EAPCh. S3 - Choose the best answer to each of the following....Ch. S3 - Prob. 27EAPCh. S3 - Prob. 28EAPCh. S3 - Prob. 29EAPCh. S3 - Prob. 30EAPCh. S3 - Prob. 31EAPCh. S3 - Prob. 32EAPCh. S3 - Prob. 33EAPCh. S3 - Prob. 34EAPCh. S3 - Prob. 35EAPCh. S3 - Prob. 38EAPCh. S3 - Prob. 39EAPCh. S3 - Prob. 41EAPCh. S3 - Alternative Geometries. Find three everyday...Ch. S3 - Prob. 43EAPCh. S3 - Prob. 44EAPCh. S3 - Prob. 45EAPCh. S3 - Prob. 51EAPCh. S3 - Worldlines at High Speed. Make a spacetime diagram...Ch. S3 - Prob. 53EAPCh. S3 - Prob. 54EAPCh. S3 - Long Trips at Constant Acceleration: Earth Time....Ch. S3 - Prob. 56EAPCh. S3 - Prob. 57EAPCh. S3 - Prob. 58EAPCh. S3 - Gravitational Time Dilation on Earth. For a...Ch. S3 - Gravitational Time Dilation on the Sun. Use the...
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