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 18, Problem 37EAP
Black Holes in Popular Culture. Expressions such as “it disappeared into a black hole” are now common in popular culture. Give a few other examples of popular expressions in which the term black hole is used but is not meant to be taken literally. In what ways are these uses correct in their analogies to real black holes? In what ways are they incorrect? Why do you think such an esoteric scientific idea as that of a black hole has captured the public imagination?
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What is the Schwarzschild radius (in km) of a 6Msun black hole?
What fraction of the Earth's radius is this?
What percent of the speed of light (2.998 x 108 m/s) is the escape velocity at the Schwarzschild radius?
Part 1 of 3
The Schwarzschild radius of a black hole is given by:
2GM
Rs
=
c2
so for the given mass,
2G(6)(Msun)
Rs
c2
where M.
Sun = 1.99 x 1030 kg.
Then convert this into kilometers using 1 km = 1,000 m.
Rs
km
a. What is the event horizon radius [m] for the sun if it were to collapse to a Schwarzschild black hole? (Msun = 1.99 x 1030kg).
b. Would earth’s orbit be altered if this were to occur (T/F).
Suppose you drop a clock toward a black hole. As you look at the clock from a high orbit, what
will you notice?
Time on the clock will run faster as it approaches the black hole, and light from the clock
A.
will be increasingly blueshifted.
B. The clock will fall toward the black hole at a steady rate, so that you'll see it plunge through
the event horizon within just a few minutes.
C. The clock will fall faster and faster, reaching the speed of light as it crosses the event
horizon.
D. Time on the clock will run slower as it approaches the black hole, and light from the clock
will be increasingly redshifted.
Chapter 18 Solutions
The Cosmic Perspective (9th Edition)
Ch. 18 - Prob. 1VSCCh. 18 - Prob. 2VSCCh. 18 - Prob. 3VSCCh. 18 - Prob. 4VSCCh. 18 - Prob. 5VSCCh. 18 - Prob. 1EAPCh. 18 - Prob. 2EAPCh. 18 - Prob. 3EAPCh. 18 - Prob. 4EAPCh. 18 - Prob. 5EAP
Ch. 18 - Prob. 6EAPCh. 18 - Prob. 7EAPCh. 18 - Prob. 8EAPCh. 18 - Prob. 9EAPCh. 18 - 10. In what sense is a black hole like a hole in...Ch. 18 - Il. What do we mean by the singularity of a black...Ch. 18 - Prob. 12EAPCh. 18 - Prob. 13EAPCh. 18 - Prob. 14EAPCh. 18 - Prob. 15EAPCh. 18 - Prob. 16EAPCh. 18 - Prob. 18EAPCh. 18 - Prob. 19EAPCh. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Prob. 21EAPCh. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Prob. 23EAPCh. 18 - Prob. 24EAPCh. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Prob. 27EAPCh. 18 - Choose the best answer lo each of the following....Ch. 18 - Prob. 29EAPCh. 18 - Choose the best answer lo each of the following....Ch. 18 - Prob. 31EAPCh. 18 - Prob. 32EAPCh. 18 - Prob. 33EAPCh. 18 - Prob. 34EAPCh. 18 - Prob. 35EAPCh. 18 - Prob. 36EAPCh. 18 - Black Holes in Popular Culture. Expressions such...Ch. 18 - Prob. 39EAPCh. 18 - Prob. 41EAPCh. 18 - Prob. 42EAPCh. 18 - Prob. 43EAPCh. 18 - Prob. 44EAPCh. 18 - Prob. 45EAPCh. 18 - Prob. 46EAPCh. 18 - Prob. 47EAPCh. 18 - Prob. 48EAPCh. 18 - Why Black Holes Are Safe. Explain why the...Ch. 18 - Surviving the Plunge. The tidal forces near a...Ch. 18 - Prob. 52EAPCh. 18 - Prob. 53EAPCh. 18 - Prob. 54EAPCh. 18 - Prob. 55EAPCh. 18 - Prob. 56EAPCh. 18 - Prob. 57EAPCh. 18 - Prob. 58EAPCh. 18 - Prob. 59EAPCh. 18 - Prob. 60EAPCh. 18 - Prob. 61EAP
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