Determine the increase in mechanical energy per unit mass needed to move a satellite…

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Determine the increase in mechanical energy per unit mass needed to move a satellite from an altitude of 400 km400\,\text{km} (orbit radius 6.78×106 m6.78\times10^{6}\,\text{m}) to an altitude of 1000 km1000\,\text{km} (orbit radius 7.38×106 m7.38\times10^{6}\,\text{m}) above Earth’s surface. Use G=6.67×10−11 N m2 ⁣/kg2G=6.67\times10^{-11}\,\text{N m}^2\!\text{/kg}^2 and ME=6.0×1024 kgM_{\text{E}}=6.0\times10^{24}\,\text{kg}.

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