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 × 1024 kg) have to be compresed to be a black hole
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Answered by
83
Solution:
GMm/R =1/2 mc^2
R = 2GM/c^2
G = 6.67 × 10−11 m3/(kg·s2)
M = 5.98 × 1024 kg
c = 3 × 108 m/s
R = 2 (6.67 × 10−11)(5.98 × 1024) / (3 × 108)2
= (2·6.67·5.98 / 9) × 10−11× 1024 × 10−16
≈ (2·7·6 / 9) × 10−3 ≈ 1 cm
GMm/R =1/2 mc^2
R = 2GM/c^2
G = 6.67 × 10−11 m3/(kg·s2)
M = 5.98 × 1024 kg
c = 3 × 108 m/s
R = 2 (6.67 × 10−11)(5.98 × 1024) / (3 × 108)2
= (2·6.67·5.98 / 9) × 10−11× 1024 × 10−16
≈ (2·7·6 / 9) × 10−3 ≈ 1 cm
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41
Answer:
10power-2
Explanation:
hope understood
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