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 10° 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 black hole." "The Sun is 3. If the radius of the Earth is 6 x 10° m, how do the radii compare? (Same procedure as Question 2). "The Earth is times smaller/bigger than the black hole."

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 10° 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 black hole." "The Sun is 3. If the radius of the Earth is 6 x 10° m, how do the radii compare? (Same procedure as Question 2). "The Earth is times smaller/bigger than the black hole."

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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