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A satellite is orbiting around the earth. By what percentage should we increase its velocity so as to enable it escape away from earth ?

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41.4%

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answer is A.

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Detailed Solution

$\begin{array}{l} v_{C} = \sqrt{2} v_{0} = 1 \cdot 414 v_{0} \\ \frac{v_{e}}{v_{0}} = 1 \cdot 414 or \frac{v_{e} - v_{0}}{v_{0}} = 0 \cdot 414 \\ \frac{v_{e} - v_{0}}{v_{0}} \times 100 = 0 \cdot 414 \times 100 = 41 \cdot 4 % \end{array}$

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