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Problem

Supermassive black holes are thought to exist at …

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31

Problem 23 Easy Difficulty

Black holes with masses smaller than those formed in supernovas may have been created in the Big Bang. Calculate the radius of one that has a mass equal to the Earth's.

Answer

$2.36 \times 10^{4} \mathrm{m}$

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Physics 103

College Physics for AP® Courses

Chapter 34

Frontiers of Physics

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Watch More Solved Questions in Chapter 34

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31

Video Transcript

this problem. We need to find the social radius off a black hole whose mass is eight times the mass of our sun. So you're usedto equation for the radius. So this is the social radius. It is given to be two times g times the mass over C square. Jesus. Any Vince constant and C is the speed of light, so plugging in the values we get when you tense. Constant is 6.67 times 10 to the minus 11 Newton meters square over kilograms square than the mass of the black hole. It is eight times the mass of our sun. The mass of our sun is 1.99 times 10 to the 30 kilograms, a huge number, and we divide this by the speed of light which is three times. Tend to the eight meters per second square meters per second and we square this Upon solving this we get 2.36 times 10 through the four meters, which is nothing but 23.6 kilometers. So the radius of the black hole, whose masses eight times the mass of our sun, is 23.6 kilometers

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Irina Lyublinskaya, Gregg Wolfe, Douglas Ingram , Liza Pujji

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