Calculate the velocity of a 20kg object that is dropped from a height h above the Earth, where h is very large compared to the radius of the Earth. The radius of the Earth is 6380 m and the mass is 5.94 x 10^24 kg.

Answer 1

I would do this as energy.

1/2 m v^2=work done=ind force*dh=INT GMe*m/(re+h)^2 dh integrating from intial height to Re. Then solve for v.