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Units & Conversionshard
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In general relativity, a mass MMM in kilograms is expressed in units of length as M′=GMc2M' = \frac{GM}{c^2}M′=c2GM​. What is the geometrized mass of the Earth (ME≈5.9722×1024 kgM_E \approx 5.9722 \times 10^{24} \text{ kg}ME​≈5.9722×1024 kg) in millimeters? (Take G≈6.6743×10−11 m3kg−1s−2G \approx 6.6743 \times 10^{-11} \text{ m}^3\text{kg}^{-1}\text{s}^{-2}G≈6.6743×10−11 m3kg−1s−2 and c≈2.9979×108 m/sc \approx 2.9979 \times 10^8 \text{ m/s}c≈2.9979×108 m/s)