A satellite of mass \(M\) is in a circular orbit of radius \(R\) about the centre of the earth. A meteorite of the same mass, falling towards the earth collides with the satellite completely inelastically. The speeds of the satellite and the meteorite are the same, just before the collision. The subsequent motion of the combined body will be

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(B) in an elliptical orbit

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Detailed explanation

\(\begin{array}{l}
2m{v_x} = mv\\
\Rightarrow \,{v_x} = \frac{v}{2}\\
\,\,\,\,\,\,{v_y} = \frac{v}{2}\\
{v_{net}} = \sqrt {{v_{{x^2}}} + {v_{{y^2}}}} = \frac{v}{{\sqrt 2 }}
\end{array}\)

So, path will be elliptical.

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