An research satellite is to be shifted from a circular orbit of radius to another…

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

An 800 kg800\,\text{kg} research satellite is to be shifted from a circular orbit of radius 2R⊕2R_{\oplus} to another circular orbit of radius 3R⊕3R_{\oplus} about Earth. Using M⊕=5.97×1024 kgM_{\oplus}=5.97\times10^{24}\,\text{kg}, R⊕=6.37×106 mR_{\oplus}=6.37\times10^{6}\,\text{m} and G=6.67×10−11 N m2kg−2G=6.67\times10^{-11}\,\text{N m}^2\text{kg}^{-2}, determine the minimum work that must be done on the satellite to accomplish this transfer.

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