A body moving radially away from a planet of mass M, when at distance r from planet, explodes in such a way that two of its many fragments move in mutually perpendicular circular orbits around the planet. What will be

A body moving radially away from a planet of mass M, when at distance

1.	A body moving radially away from a planet of mass M, when at distance r from planet, explodes in such a way that two of its many fragments move in mutually perpendicular circular orbits around the planet. What will be
Answer» Solution :(i) CENTRIPETAL force is provided by gravitational field. `(m_(1)V^(2))/r=(GMm_(1))/(r^(2))` `v=sqrt((GM)/r)` (ii) Maximum distance `=sqrt(2)r` (iii) RELATIVE VELOCITY just before collision maximum distance `=sqrt(2)v` maximum distance `=sqrt((2GM)/r)`