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 S4, Problem 55EAP
Solar Mass Black Holes. Use the formula from Problem 54 to calculate the lifetime of a black hole with the mass of the Sun
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The mass density of our universe is measured to be about 10-29 kg/m3. If an arbitrary point is chosen as the center, how large is the radius of a spherical surface centered at the point so that the mass enclosed in the surface will become a blackhole observed by someone outside the surface?
A. 4.2 trillion light years
B. 420 billion light years
C. 42 billion light years
D. 4.2 billion light years
Is the answer D? Thanks!
What makes us think that the star system Cygnus X-1 contains a black hole?
A, It emits X rays characteristic of an accretion disk, but the unseen star in the system is too
massive to be a neutron star.
B. No light is emitted from this star system, so it must contain a black hole.
C. The fact that we see strong X-ray emission tells us that the system must contain a black
hole.
D.Cygnus X-1 is a powerful X-ray burster, so it must contain a black hole.
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…
Chapter S4 Solutions
The Cosmic Perspective (9th Edition)
Ch. S4 - Prob. 1EAPCh. S4 - Prob. 2EAPCh. S4 - Prob. 3EAPCh. S4 - Prob. 4EAPCh. S4 - Prob. 5EAPCh. S4 - Prob. 6EAPCh. S4 - Prob. 7EAPCh. S4 - Prob. 8EAPCh. S4 - Prob. 9EAPCh. S4 - Prob. 10EAP
Ch. S4 - Prob. 11EAPCh. S4 - Prob. 12EAPCh. S4 - Prob. 13EAPCh. S4 - Prob. 14EAPCh. S4 - Prob. 15EAPCh. S4 - Prob. 16EAPCh. S4 - Prob. 17EAPCh. S4 - Prob. 18EAPCh. S4 - Prob. 19EAPCh. S4 - Decide whether the statement makes sense (or is...Ch. S4 - Prob. 21EAPCh. S4 - Prob. 22EAPCh. S4 - Prob. 23EAPCh. S4 - Prob. 24EAPCh. S4 - Prob. 25EAPCh. S4 - Prob. 26EAPCh. S4 - Prob. 27EAPCh. S4 - Choose the best answer to each of the following....Ch. S4 - Prob. 29EAPCh. S4 - Prob. 30EAPCh. S4 - Prob. 31EAPCh. S4 - Prob. 32EAPCh. S4 - Prob. 33EAPCh. S4 - Prob. 34EAPCh. S4 - Prob. 36EAPCh. S4 - Prob. 37EAPCh. S4 - Prob. 38EAPCh. S4 - Prob. 39EAPCh. S4 - Prob. 41EAPCh. S4 - Prob. 42EAPCh. S4 - Prob. 43EAPCh. S4 - Prob. 44EAPCh. S4 - Prob. 45EAPCh. S4 - Prob. 46EAPCh. S4 - Prob. 47EAPCh. S4 - Prob. 48EAPCh. S4 - Prob. 52EAPCh. S4 - Large-Scale Gravity. Suppose Earth and the Sun...Ch. S4 - Prob. 54EAPCh. S4 - Solar Mass Black Holes. Use the formula from...Ch. S4 - Long-Lived Black Holes. Some scientists speculate...Ch. S4 - Prob. 57EAPCh. S4 - Prob. 58EAPCh. S4 - Prob. 59EAPCh. S4 - Prob. 60EAP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Which statement concerning black hole masses and Schwarzschild radii is not true? A. Even an object as small as you could become a black hole if there were some way to compress you to a size smaller than your Schwarzschild radius. B. The more massive the black hole, the larger the Schwarzschild radius. C. For black holes produced in massive star supernovae, Schwarzschild radii are typically a few to a few tens of kilometers. D. In a binary system with a black hole, the Schwarzschild radius depends on the distance from the black hole to the companion star.arrow_forwardWhat is a black hole. Explainarrow_forward2. 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 = × MẸarrow_forward
- The supermassive black hole at the center of a galaxy has a mass of 6.5 billion solar masses. If we assume that it is a Schwarzschild black hole, what is the radius of this black hole? A. 18 light hours B. 20 light hours C. 16 light hours D. 14 light hours Is the answer A? S. radius = 3 x 6.5 x 109 x 9.26567-10 = 18.1 light hours Thanks!arrow_forwardSuppose 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.arrow_forwardThe matter density in the Universe today is Pm = -27 kg m-3. What would 2.7 x 10 be the value of the density parameter, 2o, if the Hubble constant had the value Ho = 38 km/s/Mpc? Assume the Universe does not contain dark energy and choose the option below that best matches your answer. Select one: O a. 0.1 O b. 2. О с. 1. O d. 0.7 О е. 0.5arrow_forward
- Problem 2. The redshift is defined to be the quantity Job – Xem Xem where Aob and Aem are respectively the wavelengths at which radiation is observed and emitted. 1. Find the corresponding definition in terms of observed and emitted frequencies fob and fem. 2. The observed frequency of radio waves from a distant galaxy is 5 GHz. At the location of galaxy, the frequency is 6 GHz. Calculate the redshift of the galaxy. 3. If the galaxy was 500 Mpc away from the Milky way when the radio waves were emitted. How far away is this galaxy today?arrow_forwardThe star Alpha Centauri is 4.367 light vears from earth. What velocity do you need to travel at to reach this star in 1,447 years. Give your answer as a fraction of the speed of light (e.g. 0.406 for 0.406c) Round your answer to 3 decimal places. Add your answer Question 8 An electron is accelerated accross a voltage of 344kV. What is the momentuum of the electron? Use a value for the electron masss of 511 kevic. Give your answer in units of keWc (eg if the answer is 350 kevic write 350I Round your answer to 0 decimal places. Add your answerarrow_forwardWhich of the following objects is considered to possibly contain a black hole? a. the central star of the Crab nebula b. the Orion nebula c. LMC X-3 d. Algol e. PSR 1257+12arrow_forward
- In a spiral galaxy, the orbital speeds of stars far from the galaxy's center distance from the center increases. as the A. increase B. decrease C. are approximately the same D. The answer changes depending on the galaxy.arrow_forwardIn order to form a black hole, a star must be about how much more massive than our Sun? a. Fifty times as massive b. Ten times as massive c. Twice as massive d. Twenty times as massive e. It actually must be less massive than our Sunarrow_forwardwhat is the mass of the black hole ? give your answer as a multiple of Ms where Ms is the solar mass, Ms = 2.0 * 10^(30) express your answer as a multiple of the solar mass mass Ms.arrow_forward
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