A satellite is moving in an orbit with half the speed requried to escape the earth's field what is - Physics -

Question

A satellite is moving in an orbit with half the speed requried
to escape the earth's field what is the height of the
satellite?

Komal Jain · Accepted Answer

The escape velocity of the earth is given as:
ve=2GMRThe orbital velocity of the satellite at a height h from the surface of the earth is given as:vo=GMr=GMR+hAs it is given that the orbital velocity of the satellite is half the escape velocity,vo=12ve⇒GMR+h=122GMR⇒GMR+h=14×2GMR⇒1R+h=12R⇒R+h=2R⇒h=2R

A satellite is moving in an orbit with half the speed requried to escape the earth's field. what is the height of the satellite?