Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 21, Problem 61Q
To determine
The mass of a black hole in kilogram whose Schwarzschild radius is 11 km.
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Chapter 21 Solutions
Universe
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- As an object falls into a black hole, tidal forces increase. Will these tidal forces always tear the object apart as it approaches the Schwarzschild radius? How does the mass of the black hole and size of the object affect your answer?arrow_forwardThe Schwarzschild radius of a certain black hole is 30n kilometers. The mass of this black hole, in units of solar masses, Mo, is given by M x aMo What is the value of a, if n = 5 (give only an integer value).arrow_forwardWhat is the escape velocity (in km/s) at the Schwarzschild radius of a 7.82 Msun black hole?arrow_forward
- 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 kmarrow_forwardDevise a way for the occupants of a spaceship to know whether they are being pulled into a black hole. What can they do if they determine they are within the Schwarzschild radius?arrow_forwardHow can we calculate Schwarzschild radius?arrow_forward
- The biggest black hole ever discovered has a mass of 40 billion solar masses. Calculate the Schwarzschild radius and compare it with the size of our Solar System.arrow_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_forwardWhat 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 . sarrow_forward
- 38 An AGN hosts a central Black Hole of mass 5×10 kg. The AGN emits at 1/6 of the Eddington limit. Find the luminosity of the AGN. Give your answer in Watts to 3 significant figures.arrow_forwardCalculate the Schwarzschild radius for the sun and Earth.arrow_forwardGM What is the orbital period of a bit of matter in an accretion disk that is located 3 x 105 km from a 29 M. black hole? (Hint: Use the circular orbit velocity formula, V. = Varrow_forward
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