Physics Help- Gravitational Potential Energy:?

[imported_Music_lover]

The gravitational potential energy is given by U=-GmMe/r. However for the masses close to the Earth's surface U=mgh. Are these formulas consistent? Hint: Substitute r = Re +h where h<<<Re

 

[paul b]

This was asked a couple of days ago

If U=-GmMe/r and U=mgh, then dU/dr = dU/dh = mGMe/r^2 = mg

Why not?