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Energy and Its Sources

A satellite i...

Question

A satellite is revolving around earth in circular orbit with kinetic energy E.The additional kinetic energy required by it to escape to infinity is

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Solution

Dear Student,

$E_{0} = \frac{1}{2} m {v_{0}}^{2} = \frac{G M m}{2 r} E_{e} = \frac{1}{2} m {v_{e}}^{2} = \frac{G M m}{r} = 2 \times \frac{G M m}{2 r} E_{e} = 2 E_{0} = 2 E A d d i t i o n a l r e q u i r e d e n e r g y = 2 E - E = E$

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