A satellite circles the Earth at an altitude of with a speed of

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

Problem

A satellite circles the Earth at an altitude of 400 km400\,\text{km} with a speed of 7.70 km s−17.70\,\text{km s}^{-1}. The acceleration due to gravity at that altitude is measured to be 8.7 m s−28.7\,\text{m s}^{-2}. From these data, the radius of the Earth is calculated to be closest to (a) 6.8×106 m6.8\times10^{6}\,\text{m} (b) 6.0×106 m6.0\times10^{6}\,\text{m} (c) 6.4×106 m6.4\times10^{6}\,\text{m} (d) 7.2×106 m7.2\times10^{6}\,\text{m}

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