Question
A body which is initially at rest at a height R above the surface of the Earth of radius R, falls freely towards the Earth, then its velocity on reaching the surface of the Earth is
A body which is initially at rest at a height R above the surface of the Earth of radius R, falls freely towards the Earth, then its velocity on reaching the surface of the Earth is
B. (g R)
Increase in kinetic energy = Decrease in potential energy aligned & 1 2 m v^2= m g R 1+ R R = m g R 2 ( U= m g h 1+ h R , h=R ) \\ & m v^2=m g R v= g R aligned
Related: Physics — Gravitation · All PYQ Banks