Physics

Problem

A satellite of mass

1200\,\text{kg}

orbits Earth in a circular path of radius

2R_{E}

, where

R_{E}=6.4\times10^{6}\,\text{m}

. Calculate the minimum additional work that must be done on the satellite to transfer it to a circular orbit of radius

3R_{E}

. (Take

G=6.67\times10^{-11}\,\text{N m}^{2}\text{kg}^{-2}

and

M_{E}=6.0\times10^{24}\,\text{kg}

.) a)

3.1\times10^{9}\,\text{J}

-6.3\times10^{9}\,\text{J}

6.3\times10^{9}\,\text{J}

1.3\times10^{10}\,\text{J}