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# A satellite of mass m is orbiting the earth at a height 'h' from its surface. If M is Mass of the earth and R its radius then how much energy must be spent to pull the satellite out of the earth's gravitational field?

$(a)\;\frac{2GmM}{(R+h)^2} \quad (b)\;\frac{GmM}{2(R+h)^2} \quad (c)\;\frac{2GmM}{(R+h)}\quad (d)\;\frac{GmM}{2(R+h)}$

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## 1 Answer

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Energy required to remove the satellite from its orbit to infinity is called Binding Energy of the system
Binding energy $=-E=\large\frac{GMm}{2r}$
$\qquad= \large\frac{GMm}{2(R+h)}$
hence d is the correct answer.

answered Aug 22, 2013 by
edited Feb 17, 2014 by meena.p

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