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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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Section
BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
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

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