Answered: What would you have to do to make earth…

Stars and Galaxies

9th Edition

ISBN:9781305120785

Author:Michael A. Seeds, Dana Backman

Publisher:Michael A. Seeds, Dana Backman

Chapter14: Neutron Stars And Black Holes

Section: Chapter Questions

Problem 6DQ

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What would you have to do to make earth a black hole ?

Expert Solution

Step 1

Black holes are objects in space from which even light can not escape. What makes the black hole so distinctive is its immense density. It is so dense the light will also be trapped in its gravitational field

In order to make the earth a black hole we need to shrink it to produce a gravitational field whose escape velocity is greater than the speed of light.

The mass of earth 5.972 x 10²⁴ kg

The relation between the radius of the black hole and the mass of the black hole is

Where

G is the Universal gravitational constant ( 6.67 x 10^-11 m³kg^-1s^-2)

M is the mass of the black hole (5.97 x 10²⁴ kg)

c is the velocity of light ( 3.00 x 10⁸ m/s)

Step 2

substituting with the above values

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