The Schwarzschild radius of a black hole is the point at which the escape velocity equals that of light. Consider a sphere of mass M and radius R (a) Using classical physics, write down the escape velocity from the sphere’s surface. Find the value of R for which it equals the speed of light. If the mass, M, is entirely inside this radius, it is a black hole. (b) What is this radius for a star of 10 solar masses? (c) What is its average density inside this radius? (Note, the full general relativistic result happens to agree with the same formula)
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The Schwarzschild radius of a black hole is the point at which the escape velocity equals that of light. Consider a sphere of mass M and radius R
(a) Using classical physics, write down the escape velocity from the sphere’s surface. Find the value of R for which it equals the
(b) What is this radius for a star of 10 solar masses?
(c) What is its average density inside this radius? (Note, the full general relativistic result happens to agree with the same formula)
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