Understanding Our Universe
Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 13.6, Problem 13.6CYU
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How can we “observe” a black hole if neither matter nor radiation can escape from it?
What is the Schwarzschild radius (in km) of a 20 solar mass black hole?
I'm stumped on this question: A clump of matter does not need to be extraordinarily dense in order to have an escape velocity greater than the speed of light, as long as its mass is large enough. You can use the formula for the Schwarzschild radius RS to calculate the volume, 4/3 πRS^3, inside the event horizon of a black hole of mass M. What does the mass of a black hole need to be in order for its mass divided by its volume to be equal to the density of water (1g/cm^3)? I'm not sure where to begin in findng the answer. It feels as if I'm missing information.
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