College Physics
College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 30, Problem 34P
To determine

The hypotheses about the nature of dark matter.

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Part 1. Stellar Mass Black Holes These are the collapsed cores of massive stars which end their life in supernova explosions. The stellar core can no longer use nuclear fusion to hold up the immense gravity, and collapses until its escape velocity rises higher than the speed of light. Voila! A black hole is formed. Part A: The Schwarzschild Radius The Schwarzschild Radius is defined as: 2GM (1) = c2 where r, is the Schwarzschild radius, G is the gravitational constant, M is the mass of the black hole, and c is the speed of light. 1. Let's say we have a black hole with a mass 10 times that of the Sun (the Sun's mass is 2 x 1030 kg, so the mass of the black hole is then 2 x 1031 kg). Using the definitions for G and c, what would the Schwarzschild radius of this black hole be? 2. If the radius of the Sun is 7 x 108 m, how does the black hole's radius compare? (Divide the radius of the Sun by the Schwarzschild radius). Your answer should be in the form of times smaller/bigger than the…
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