question_answer

A satellite is orbiting the earth with speed \[{{\upsilon }_{0}}\] to make the satellite escape, what should be the minimum percenta8ge increase in its velocity?                

Answer:

                Required percentage increase in velocity                 \[=\frac{{{\upsilon }_{e}}-{{\upsilon }_{0}}}{{{\upsilon }_{0}}}\times 100=\left( \frac{{{\upsilon }_{e}}}{{{\upsilon }_{0}}}-1 \right)\times 100\]                 \[=(\sqrt{2}-1)\times 100=\mathbf{41}\mathbf{.4%}\]