   Chapter 34, Problem 23PE

Chapter
Section
Textbook Problem

Black holes with masses smaller than muse 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.

To determine

The Schwarzschild radius of a black hole having a mass equal to mass of the earth.

Explanation

Given:

Mass of Earth, me=5.972×1024kg

Speed of light, c=3×108m/s

Gravitational constant, G=6.67×1011N-m2/kg2

Formula used:

Formula to calculate the Schwarzschild radius of a black hole is,

Rsc=2Gmc2 ...... (I)

Where,

• Rsc is Schwarzschild radius of black hole.
• G is gravitational constant.
• m is mass of the black hole.
• c is speed of light.

Calculation:

Since, the mass of the black is equal to the mass of the earth.

Calculate the mass of the black hole.

m=me

Substitute 5.972×1024kg for me in the above expression.

m=5.972×1024kg

Substitute 5.972×1024kg for m , 6

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 