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Construct Your Own ProblemConsider a supermassive black hole near the center of a galaxy. Calculate the radius of such an object based on its mass. You must consider how much mass is reasonable for these large objects, and which is now nearly directly observed. (Information on black holes posted on the Web by NASA and other agencies is reliable, for example.)

$2.95 \times 10^{15} \mathrm{m}$

Physics 103

Chapter 34

Frontiers of Physics

Wave Optics

Particle Physics

University of Michigan - Ann Arbor

University of Sheffield

University of Winnipeg

McMaster University

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

01:39

Estimate the Schwarzschild…

01:14

03:28

Astronomers have observed …

06:13

At the Galaxy's Core.…

01:44

In 2005 astronomers announ…

01:50

Astronomers using the Hubb…

00:52

What is the Schwarzschild …

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Supermassive black holes a…

04:01

01:35

03:45

The Black Hole in the Cent…

00:43

Find the radius to which t…

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05:06

Astronomical observations …

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In $1999,$ scientists disc…

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(a) Show that a black hole…

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What is the mass of a blac…

00:57

Working It Out 18.2 relate…

03:39

everybody So estimate this roaster child's radios for supermassive black hole. And here we have our US equals to, um of Black Hole C squared. And that's a G. So in this we have two times 26 1,000,000,000 which is times 10 to the nine times we have times it by the find four. To get it to mass, we're gonna convert it. So times Ted, through 30 kilograms of the sun, divided by the gravitational constant with 6.67 times 10 to negative 11 in m squared kilograms squared, invited by the speed of light which is three times 10 at 2 30 times 10 to the eighth. I was looking at the wrong number here meters per second. Nothing is square. Any plug got into your calculator, you're going at 7.7 times 10 to 30 meters and we convert this to you. So we're going to want a you divided by 1.49598 times 10 11 meters And this is gonna give us 515 a new Okay? Yes. Thank you.

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