EP COSMIC PERSPECTIVE-MOD.MASTERING
9th Edition
ISBN: 9780137453481
Author: Bennett
Publisher: SAVVAS L
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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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Students have asked these similar questions
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!
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…
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 S4 Solutions
EP COSMIC PERSPECTIVE-MOD.MASTERING
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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- 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_forwardB4 plase all mcq ansarrow_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_forward
- The 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_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_forwardProblem 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_forward
- please explain why the graph is this way!arrow_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_forwardSuppose that the Earth were collapsed to the size of a small ball bearing, becoming a black hole. a. What would be the orbital period of the Moon, orbiting at a distance of 4x10^5 km? b. What would be the orbital period of a spacecraft orbiting at a distance of 6000 km, the current radius of the Earth? c. What would be the orbital period of a mini-spacecraft orbiting at a distance of 0.1 m above the black hole? Compare the orbital speed in this case to c.arrow_forward
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