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packman

(16,296 posts)
Sat May 7, 2016, 11:22 AM May 2016

Ever Wondered? - What size the earth would be, if shrunk to a black hole

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Roughly size of a SMALL marble - according to Redditt poster who did the math ( I checked and he's right - yah, sure):

"...a black hole is defined by an object with enough mass such that its escape velocity at a certain radius (the event horizon) is that of the speed of light.

The formula for escape velocity is Vesc = sqrt(2GM/R) where G is the gravitational constant, M is the mass (of the Earth, in this case) and R is the radius in question. If we plug c (speed of light) in as Vesc, G = 6.67408 × 10-11 m3 kg-1 s-2, and M = 5.972 × 1024 kg, we can solve for R.

R = 0.8870 cm" (The black hole earth)

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