A body of mass m is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be<p></p>

From work-energy theorem, work done = change in potential energy.Work done =∫3RRGmMx2dx=2GmM3R=2mgR3.Please note that the gravitational force will necessarily vary over this height because it is comparable with earth's radius.

Eduprobe

Question:

A body of mass m is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be

Solution: