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Suppose two black holes meet and coalesce into one larger

Suppose two black holes meet and “coalesce” into one larger black hole. If they each have the same mass M and Schwarzschild radius R,

(a) Express the single black hole’s Schwarzschild radius as a multiple of R.

(b) Express the average density of the single black hole in terms of the average density (ρ) of each of the original black holes.

(a) Express the single black hole’s Schwarzschild radius as a multiple of R.

(b) Express the average density of the single black hole in terms of the average density (ρ) of each of the original black holes.

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