I think GM/R = 6.24 x 10^7.
Our professor gave us this one question for "bonus" marks last week and nobody got it. Just wondering how to solve this:
If two masses m1 and m2 (in kg) are a distance d (in m) apart, then the force F (in N) of gravity is F = Gm1 m2 /d2 , where G = 6.67×10^-11 Nm2 /kg2 . If the mass of the Earth is 5.97×10^24 kg and the radius of the Earth is 6380 km, calculate the work required (in J) to send a mass of 1 kg to the edge of the universe. Be careful with units and note that this will involve an improper integral.
If the 1kg mass is r distance away from the surface of the earth, the force on it is given by,
Therefore the work done when moving it to the edge of the universe is given by,
I think e^(i*pi) made a slight error in taking the force when the 1kg mass is at the earths surface.