The Earth–Moon centre-to-centre distance is

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

Problem

The Earth–Moon centre-to-centre distance is 3.84×108 m3.84\times10^{8}\,\text{m}. The masses are M⊕=6.0×1024 kgM_{\oplus}=6.0\times10^{24}\,\text{kg} and MMoon=7.4×1022 kgM_{\text{Moon}}=7.4\times10^{22}\,\text{kg}. Approximately how far from Earth’s centre, along the line joining the two bodies, is the point where a spacecraft would feel zero net gravitational force? (a) 3.70×108 m3.70\times10^{8}\,\text{m} (b) 2.00×108 m2.00\times10^{8}\,\text{m} (c) 3.46×108 m3.46\times10^{8}\,\text{m} (d) 1.54×108 m1.54\times10^{8}\,\text{m}

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