Fields and Schwartzchild radius for a black hole

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SUMMARY

The discussion centers on calculating the mass required to create a black hole with a Schwarzschild radius of 1.0 meter. The correct formula to use is V² = (2GM)/r, where V is the escape velocity, G is the gravitational constant, M is the mass, and r is the radius. The mass of the Earth, 6.0 x 1024 kg, is insufficient for this purpose, as the calculations reveal a much larger mass is necessary to achieve the desired radius.

PREREQUISITES
  • Understanding of Schwarzschild radius
  • Familiarity with gravitational constant (G)
  • Knowledge of escape velocity
  • Basic algebra for solving equations
NEXT STEPS
  • Research the derivation of the Schwarzschild radius formula
  • Learn about the implications of black hole mass on its properties
  • Explore gravitational physics and escape velocity calculations
  • Investigate the concept of singularities in general relativity
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Astronomy students, physicists, and anyone interested in theoretical astrophysics and black hole research.

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Homework Statement


The Schwartzchild radius for a black hole is the distance from the singularity of the black hole at which the escape velocity is the speed of light. You wish to create a black hole, with radius of only 1.0m for personal research. How much mass would this required? Would the mass of the earth, 6.0 x 10^24 kg do the job?



Homework Equations


V^2 = GMe/Re

The Attempt at a Solution


I tried using the above equation to find the M, but that was not the right answer...
 
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Your formula is incorrect, V2 = (2GM)/r.
 
And then I solve for m?
 

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