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 :
in an elliptical orbit
such that it escapes to infinity
in a circular orbit of a different radius
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
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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