Essential Cosmic Perspective
9th Edition
ISBN: 9780135795033
Author: Bennett
Publisher: PEARSON
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Chapter 14, Problem 55EAP
To determine
To Find: The amount of energy released in the merger of two blackholes.
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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.
what 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.
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
Chapter 14 Solutions
Essential Cosmic Perspective
Ch. 14 - Prob. 1VSCCh. 14 - Prob. 2VSCCh. 14 - Prob. 3VSCCh. 14 - Prob. 4VSCCh. 14 - Prob. 5VSCCh. 14 - Prob. 1EAPCh. 14 - Prob. 2EAPCh. 14 - Prob. 3EAPCh. 14 - Prob. 4EAPCh. 14 - Prob. 5EAP
Ch. 14 - Prob. 6EAPCh. 14 - Prob. 7EAPCh. 14 - Prob. 8EAPCh. 14 - Prob. 9EAPCh. 14 - Prob. 10EAPCh. 14 - Prob. 11EAPCh. 14 - Prob. 12EAPCh. 14 - Prob. 13EAPCh. 14 - Prob. 14EAPCh. 14 - Prob. 15EAPCh. 14 - Prob. 16EAPCh. 14 - Prob. 17EAPCh. 14 - Prob. 18EAPCh. 14 - Prob. 19EAPCh. 14 - Prob. 20EAPCh. 14 - Prob. 21EAPCh. 14 - Prob. 22EAPCh. 14 - Prob. 23EAPCh. 14 - Prob. 24EAPCh. 14 - Gravitational waves are best observed with the...Ch. 14 - Prob. 26EAPCh. 14 - Prob. 27EAPCh. 14 - Prob. 28EAPCh. 14 - Prob. 29EAPCh. 14 - Prob. 30EAPCh. 14 - Prob. 31EAPCh. 14 - Viewed from a distance, how would a flashing red...Ch. 14 - Which of these black holes exerts the weakest...Ch. 14 - Current evidence indicates that most gamma-ray...Ch. 14 - Prob. 35EAPCh. 14 - Black Holes in Popular Culture. Expressions such...Ch. 14 - Too Strange to Be True? Despite strong theoretical...Ch. 14 - 37. Unanswered Questions. You have seen in this...Ch. 14 - Prob. 41EAPCh. 14 - Prob. 42EAPCh. 14 - Prob. 43EAPCh. 14 - Prob. 44EAPCh. 14 - Prob. 45EAPCh. 14 - Prob. 46EAPCh. 14 - Prob. 47EAPCh. 14 - Prob. 48EAPCh. 14 - Surviving the Plunge. The tidal forces near a...Ch. 14 - Black Holes. Andrew Hamilton, a professor at the...Ch. 14 - Prob. 51EAPCh. 14 - Prob. 52EAPCh. 14 - Prob. 53EAPCh. 14 - Prob. 54EAPCh. 14 - Prob. 55EAP
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- What characteristics must a binary star have to be a good candidate for a black hole? Why is each of these characteristics important?arrow_forwardA stellar black hole may form when a massive star dies. The mass of the star collapses down to a single point. Imagine an astronaut orbiting a black hole having eight times the mass of the Sun. Assume the orbit is circular. a. Find the speed of the astronaut if his orbital radius is r = 1 AU. b. Find his speed if his orbital radius is r = 11.8 km. c. CHECK and THINK: Compare your answers to the speed of light in a vacuum. What would the astronauts orbital speed be if his orbital radius were smaller than 11.8 km?arrow_forward1.2 1.0 0.8 0.6 Cosmic background data from COBE 0.4 0.2 0.0 0.5 10 Wavelength A in mm c) Background (CMB) undertaken by the COBE satellite. Use this diagram to estimate the current temperature of the CMB. Based on your estimate, what would the temperature of the CMB have been at a redshift of z = 5000? The left hand diagram above shows the results from observations of the Cosmic Microwave Radiated Intensity per Unit Wavelength (16° Watts/m per mm)arrow_forward
- Problem 2: Black hole – the ultimate blackbody A black hole emits blackbody radiation called Hawking radiation. A black hole with mass M has a total energy of Mc², a surface area of 167G²M² /c*, and a temperature of hc³/167²KGM. a) Estimate the typical wavelength of the Hawking radiation emitted by a 1 solar mass black hole (2 × 103ºkg). Compare your answer to the size of the black hole. b) Calculate the total power radiated by a one-solar mass black hole. c) Imagine a black hole in empty space, where it emits radiation but absorbs nothing. As it loses energy, its mass must decrease; one could say "evaporates". Derive a differential equation for the mass as a function of time, and solve to obtain an expression for the lifetime of a black hole in terms of its mass.arrow_forwardWhich of the following statements about black holes are true? (select all that apply) If you watch someone else fall into a black hole, you will never see him or her cross the event horizon. However, he or she will fade from view as the light he or she emits (or reflects) becomes more and more redshifted. If you fell into a black hole, you would experience time to be running normally as you plunged rapidly across the event horizon. If we watch a clock fall toward a black hole you will see it tick slower and slower as it falls nearer to the event horizon. If the Sun magically disappeared and was replaced by a black hole of the same mass, Earth would soon be sucked into the black hole.arrow_forwardDiscuss the causes, characteristics, and major features of black holes. Explain why the concept of a black hole does or doesn't seem reasonable to you and provide some rationale for your views?arrow_forward
- The diagram shows the believed structure of a black hole if viewed from the top and in 3D. Calculate the Schartzchild Radius of a 25 Solar Mass black hole. The Mass of the Sun is 2x10^30kgarrow_forwardWhat is the minimum escape velocity from the "surface" of a black hole? Group of answer choices The speed of light. About 6 times the Earth's escape velocity. 12,000 km/s 31,425 km/sarrow_forwardCalculate your body’s volume.Next, assume that the nuclei are densely packed. Atomic distances are replaced by the radii of the nuclei. What would your body’s volume be like?How tall would you be? Could you become a black hole?arrow_forward
- an introduction on what is the event horizon of a black holes?arrow_forwardExplain what is meant by the Schwarzschild radius of a black hole. Using a Newtonian approx- imation, derive an expression for the Schwarzschild radius, R, of a black hole of mass MBH- Calculate the Schwarzschild radius for a body with mass equal to the Sun's mass, and express your answer in units of kilometres.arrow_forwardDespite strong theoretical arguments for the existence of neutron stars and black holes, many scientists rejected the possibility that such objects could exist until they were confronted with very strong observational evidence. Some people claim that this type of scientific skepticism demonstrates an unwillingness on the part of scientists to give up their deeply held scientific beliefs. Others claim that this type of skepticism is necessary for scientific advancement. What do you think? Defend your opinion.arrow_forward
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