Gravitaional potential energy

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By Expert Faculty of Sri Chaitanya
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Question

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 x 1024 kg) have to be compressed to be a black hole?

Moderate
Solution

 Light cannot escape from a black hole, vesc=c2GMR=c  or  R=2GMc2

R=2×6.67×1011Nm2kg2×5.98×1024kg3×108ms12=8.86×103m102m


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