A non-rotating black hole has an ‘edge’ at what’s called it’s Schwartzschild radius. For a black hole of mass M, the Schwartzschild radius is RSch = 2GM/(c^2) where G is the gravitational constant and c is the speed of light. Close to black holes, we really should use Einstein’s theory of gravity (General Relativity) instead of Newton’s, but Newton’s is still a good approximation. Using Newtonian Gravity, find the gravitational force on a mass m at the Schwartzschild radius of a black hole. (Your answer for this should look like Fgrav = an expression in terms of G, M, m, c and numbers.) Is the force smaller or larger for a more massive black hole?

A non-rotating black hole has an ‘edge’ at what’s called it’s Schwartzschild radius. For a black hole of mass M, the Schwartzschild radius is RSch = 2GM/(c^2) where G is the gravitational constant and c is the speed of light. Close to black holes, we really should use Einstein’s theory of gravity (General Relativity) instead of Newton’s, but Newton’s is still a good approximation. Using Newtonian Gravity, find the gravitational force on a mass m at the Schwartzschild radius of a black hole. (Your answer for this should look like Fgrav = an expression in terms of G, M, m, c and numbers.) Is the force smaller or larger for a more massive black hole?

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