A satellite orbits Earth in a circular path above Earth’s surface

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

Problem

A 1.0×103 kg1.0\times10^{3}\,\text{kg} satellite orbits Earth in a circular path 3.0 km3.0\,\text{km} above Earth’s surface. Given RE=6.4×106 mR_E = 6.4\times10^{6}\,\text{m}, ME=6.0×1024 kgM_E = 6.0\times10^{24}\,\text{kg}, and G=6.67×10−11 N m2 kg−2G = 6.67\times10^{-11}\,\text{N}\,\text{m}^2\,\text{kg}^{-2}, determine the satellite’s kinetic energy. (a) 4.3×1010 J4.3 \times 10^{10}\,\text{J} (b) 3.1×1010 J3.1 \times 10^{10}\,\text{J} (c) 2.1×1010 J2.1 \times 10^{10}\,\text{J} (d) 1.5×1010 J1.5 \times 10^{10}\,\text{J}

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