Practicing Success
If mass of earth is M, radius is R and gravitational constant is G, then work done to take 1 kg mass from earth surface to infinity will be : |
√GM/2R GM/R √2GM/R GM/2R |
GM/R |
Work done = \(U_{final} - U_{initial}\) = \(U_{\infty} - U_R\) = \(0 - (\frac{-GMm}{R})\) =\(\frac{GMm}{R}\) = \(\frac{GM}{R}\) ... [As mass m = 1 kg] |