The Moon goes around the Earth in in an approximately circular orbit of radius

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

The Moon goes around the Earth in 27.3 days27.3\,\text{days} in an approximately circular orbit of radius 3.84×108 m3.84\times10^{8}\,\text{m}. Taking G=6.67×10−11 N m2 ⁣/kg2G=6.67\times10^{-11}\,\text{N m}^2\!\text{/kg}^2, the mass of the Earth is closest to (a) 1.2×1025 kg1.2\times10^{25}\,\text{kg} (b) 6.0×1024 kg6.0\times10^{24}\,\text{kg} (c) 3.0×1024 kg3.0\times10^{24}\,\text{kg} (d) 6.0×1023 kg6.0\times10^{23}\,\text{kg}

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