JEE MAIN - Physics (2019 - 12th January Morning Slot - No. 4)
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 :
in the same circular orbit of radius R
such that it escapes to infinity
in a circular orbit of a different radius
in an elliptical orbit
Explanation
_12th_January_Morning_Slot_en_4_1.png)
mv$$\widehat i$$ + mv$$\widehat j$$
= 2m$${\overrightarrow v ^1}$$
$$\overrightarrow v $$ = $${1 \over {\sqrt 2 }} \times \sqrt {{{GM} \over R}} $$
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