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 18, Problem 23EAP
Decide whether tile statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly, not all of these have definitive answers, so your explanation is more important than your chosen answer
24. The best way to search for black holes is to look for small black circles in the sky.
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Part 1. Stellar Mass Black Holes
These are the collapsed cores of massive stars which end their life in supernova explosions. The
stellar core can no longer use nuclear fusion to hold up the immense gravity, and collapses until
its escape velocity rises higher than the speed of light. Voila! A black hole is formed.
Part A: The Schwarzschild Radius
The Schwarzschild Radius is defined as:
2GM
(1)
=
c2
where r, is the Schwarzschild radius, G is the gravitational constant, M is the mass of the black
hole, and c is the speed of light.
1. Let's say we have a black hole with a mass 10 times that of the Sun (the Sun's mass is 2 x
1030 kg, so the mass of the black hole is then 2 x 1031 kg). Using the definitions for G and
c, what would the Schwarzschild radius of this black hole be?
2. If the radius of the Sun is 7 x 108 m, how does the black hole's radius compare? (Divide
the radius of the Sun by the Schwarzschild radius). Your answer should be in the form of
times smaller/bigger than the…
High Mass Stars
Problem 4. Black Holes
The Schwarzschild radius determines the event horizon of a black hole. Construct the equation defining this radius using the fact that the escape velocity at this radius is c (the speed of light). Use M for the black hole mass and RS for the Schwarzchild radius. (Do not simply write down the equation, show and explain the logical steps of your construction and algebra)
2. How much mass would a black hole contain if it has an event horizon equal in size to an average sized
tennis ball? Express your first answer, using scientific (powers of ten) notation, in kg and also
express the same answer in "Earth masses."
answer: Mo =
kg =
× MẸ
Chapter 18 Solutions
The Cosmic Perspective
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. 17EAPCh. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Prob. 19EAPCh. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Prob. 21EAPCh. 18 - Prob. 22EAPCh. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Prob. 25EAPCh. 18 - Choose the best answer lo each of the following....Ch. 18 - Prob. 27EAPCh. 18 - Choose the best answer lo each of the following....Ch. 18 - Prob. 29EAPCh. 18 - Prob. 30EAPCh. 18 - Prob. 31EAPCh. 18 - Prob. 32EAPCh. 18 - Prob. 33EAPCh. 18 - Prob. 34EAPCh. 18 - Prob. 35EAPCh. 18 - Prob. 36EAPCh. 18 - Prob. 37EAPCh. 18 - Prob. 38EAPCh. 18 - Prob. 39EAPCh. 18 - Prob. 40EAPCh. 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 - Prob. 49EAPCh. 18 - Prob. 50EAPCh. 18 - Prob. 51EAPCh. 18 - Prob. 52EAPCh. 18 - Prob. 53EAPCh. 18 - Prob. 54EAPCh. 18 - Prob. 55EAPCh. 18 - Prob. 56EAPCh. 18 - Prob. 57EAPCh. 18 - Prob. 58EAP
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- Using MBH = 6.6 × 10 Mo, calculate the below. a. Find radius of the Schwarzschild sphere (Schwarzschild radius Rs). You can calculated from the appropriate formula or just use the fact that for an object of 1 solar mass Rs = 3 km. b. Express Rs in km, in AU, in parsecs. c. Using the distance to M87 and your result above, find angular radius of the SMBH (Schwarzschild radius). Express it in arcseconds (") and micro- arcseconds (pas) d. Take the radius of Pluto's orbit equal to 40 AU and find its angular size (in micro-arcseconds, pas) at the distance of M87.arrow_forward| Choose the correct statements from the following. (Give ALL correct answers, i.e., B, AC, BCD...) A) The unseen companion to V404 Cygnus is thought to be a likely candidate for a black hole. B) Black holes emit light through their event horizon. C) Gas falling into a black hole gives off X-rays. D) If the Sun collapsed into a black hole the Earth and all the inner planets would be sucked into it. E) A black hole is an object whose escape velocity is greater than the speed of light. All stars that have a mass greater than the Sun will end up as a black hole. G) Type II supernovae occur in stars that have a final mass greater than 10 times the mass of the Sun. Answer: Submit All Answersarrow_forwardQuestion A7 State three pieces of evidence that support the idea that the Universe began in a hot Big Bang, and explain how each piece of evidence supports the hot Big Bang model. Describe the ob- servational evidence that supports the idea that the Universe is pervaded by Dark Energy, and explain why each piece of evidence you cite supports the Dark Energy model.arrow_forward
- Q6arrow_forwardHow do scientists / astronomers spot a black hole? * A. by using gamma rays and x-rays to detect high energy sources B. by using radioactive waves to detect high energy sources C. By using high energy to detect gamma rays and x-rays D. By using massive telescopes to detect gamma rayarrow_forwardWhat is the point of view on the topic of parallel universes and black holes? Using a predominant voice in the paper, the writer's voice by weaving the information to help us understand the points we are trying to help understand. Make points, then bring in a piece of evidence to support the point of view. What is the point of view on the topic of parallel universes and black holes? Start with an introduction that is in one's voice only and then leading into a thesis - showing what's intended to be proven.arrow_forward
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