Bundle: Foundations of Astronomy, Enhanced, Loose-Leaf Version, 13th + MindTap Astronomy, 2 terms (12 months) Printed Access Card
13th Edition
ISBN: 9781337214353
Author: Seeds, Michael A., Backman, Dana
Publisher: Cengage Learning
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Chapter 14, Problem 14P
To determine
Escape velocities of black holes with masses
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Check out a sample textbook solutionStudents have asked these similar questions
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
What is the orbital period (in s) of a bit of matter in an accretion disk that is located 6 ✕ 105 km from a 99 M black hole?
Hint:
Use the circular orbit velocity formula,
Vc =
GM
r
.
s
Assume the event horizon is the size of the black hole (it is not: in reality, the black hole is a point source). What is the density of a black hole that has the mass of the Sun in units of kg/cm3? Please express your answer in scientific notation with the "e" format inside the text box, and keep three significant figures (for example, 5.01e3 for 5.01
× 103).
Chapter 14 Solutions
Bundle: Foundations of Astronomy, Enhanced, Loose-Leaf Version, 13th + MindTap Astronomy, 2 terms (12 months) Printed Access Card
Ch. 14 - Prob. 1RQCh. 14 - Prob. 2RQCh. 14 - Prob. 3RQCh. 14 - Prob. 4RQCh. 14 - Prob. 5RQCh. 14 - Prob. 6RQCh. 14 - Prob. 7RQCh. 14 - Prob. 8RQCh. 14 - Prob. 9RQCh. 14 - Prob. 10RQ
Ch. 14 - Prob. 11RQCh. 14 - Prob. 12RQCh. 14 - Prob. 13RQCh. 14 - Prob. 14RQCh. 14 - Prob. 15RQCh. 14 - Prob. 16RQCh. 14 - If the Sun has a Schwarzschild radius, why isnt it...Ch. 14 - Prob. 18RQCh. 14 - Prob. 19RQCh. 14 - Prob. 20RQCh. 14 - Prob. 21RQCh. 14 - In what sense is a black hole actually black?Ch. 14 - If you are falling into a black hole and you point...Ch. 14 - Prob. 24RQCh. 14 - Prob. 25RQCh. 14 - Prob. 26RQCh. 14 - How Do We Know? How does peer review make fraud...Ch. 14 - Prob. 1DQCh. 14 - Prob. 2DQCh. 14 - Prob. 3DQCh. 14 - Prob. 4DQCh. 14 - Prob. 5DQCh. 14 - Prob. 6DQCh. 14 - Prob. 1PCh. 14 - Prob. 2PCh. 14 - Prob. 3PCh. 14 - Prob. 4PCh. 14 - Prob. 5PCh. 14 - Prob. 6PCh. 14 - Prob. 7PCh. 14 - Prob. 8PCh. 14 - Prob. 9PCh. 14 - Prob. 10PCh. 14 - Prob. 11PCh. 14 - Prob. 12PCh. 14 - Prob. 13PCh. 14 - Prob. 14PCh. 14 - Prob. 15PCh. 14 - Prob. 16PCh. 14 - Prob. 1LTLCh. 14 - Prob. 2LTLCh. 14 - Prob. 3LTLCh. 14 - Prob. 4LTLCh. 14 - Prob. 5LTL
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- As a mass m of gas falls into a black hole, at most 0.1mc2 is likely to emerge as radiation; the rest is swallowed by the black hole. Show the Eddington luminosity for a black hole of mass M is equivalent to 2*10-9 Mc2yr-1. Explain why we expect the black hole's mass to grow by at least a factor of e every 5*107 years. Where Edding Luminicity is defined as LE=(4piGMmpc)/(sigmaT), where G is the gravitational constant, M is the mass of the black hole, mp is the mass of a proton, c is the speed of light, and sigmaT is Thomson scattering where sigmaT=6.653*10-25 cm2.arrow_forwardWhat is the event horizon radius [m] for the sun if it were to collapse to a Schwarzschild black hole? (Msun = 1.99 x 1030kg). Would earth’s orbit be altered if this were to occur (although it would be a heck of a lot colder) (T/F).arrow_forward(a) Calculate the photon capture radius and the Schwarzschild radius of M87* (in AU). (b) Why was it not possible for previous telescopes to take such a picture of the black hole? (c) Describe the components and functionality of the event horizon telescope. (d) Explain the two algorithms used to reconstruct the image from the telescope data. (e) What parameters were required for the GRMHD simulations to generate an image? (f) Explain the physical origins of the features (g) How can the image resolution be increased in future observations? (central dark region, ring, shadow).arrow_forward
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