A space ship of mass $2 \times 10^{4} \mathrm{~kg}$ is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the space ship in the orbit to overcome the gravitational pull will be (if $g=10 \mathrm{~m} / \mathrm{s}^{2}$ and radius of earth $=6400 \mathrm{~km}$ ):

Question

$7.9(\sqrt{2}-1) \mathrm{km} / \mathrm{s}$

$11.2(\sqrt{2}-1) \mathrm{km} / \mathrm{s}$

$7.4(\sqrt{2}-1) \mathrm{km} / \mathrm{s}$

$8(\sqrt{2}-1) \mathrm{km} / \mathrm{s}$

Solution

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