A particle of mass
is revolving around a planet in a circular orbit of radius
. At the instant the particle has velocity
, another particle of mass
moving at velocity of
in same direction collides perfectly in-elastically with the first particle. The new path of the combined body will take is
Text Solution
Verified by ExpertsA
By conservation of linear momentum


Escape velocity will be at
and at velocity less than escape velocity path will be elleptical or part of ellipse except for velocity
where path will be circular.
Hence the resultant mass will go on to an elliptical path
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