FOUNDATIONS OF ASTRONOMY-WEBASSIGN
FOUNDATIONS OF ASTRONOMY-WEBASSIGN
14th Edition
ISBN: 9780357135655
Author: Seeds
Publisher: CENGAGE L
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Chapter 14, Problem 14P
To determine

Escape velocities of black holes with masses 3M0 and 10M0.

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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
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
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).
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