Earth = Black hole?

Classical Mechanics Level 3

If the Earth was to shrink down so as to form a black hole, what would be the black hole's (approximate) radius?

Enter your answer in millimeters.

Details and Assumptions:

  • Me=6×1024 kgM_{e} = 6 \times 10^{24} \text{ kg}.

  • G=6.67×10−11 N m2 kg−2G = 6.67 \times 10^{-11} \text{ N m}^{2}\text{ kg}^{-2}.

  • c=3×108 ms−1c = 3 \times 10^{8} \text{ ms}^{-1}.

Image credit : Wikimedia Alain r.
B.S.Bharath Sai Guhan by B.S.Bharath Sai Guhan
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