# 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 satrellite and the meteorite are the same, just before the collision. The subsequent motion of the combined body will be : Option 1)in an elliptical orbitOption 2)such that it escapes to infinityOption 3) in a circular orbit of a different radius Option 4)in the same circular orbit of radius R

Shape of orbit of satellite -

If  , then satellite does not remain in it's circular path rather it traces a spiral path and falls on earth

satellite move along parabolic path

- wherein

Satellite revolves in circular path

Satellite will move along a hyperbolic path Apply momentum conservation

So

So it will move in eliptical orbit

Option 1)

in an elliptical orbit

Option 2)

such that it escapes to infinity

Option 3)

in a circular orbit of a different radius

Option 4)

in the same circular orbit of radius R

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