9000072905

The \(1000\, \mathrm{kg}\) heavy satellite is transported to the orbit \(150\, \mathrm{km}\) above the ground. Find the mechanical work required for this transport. The mass of the Earth is \(M = 6\cdot 10^{24}\, \mathrm{kg}\), gravitational constant \(\kappa = 6.67\cdot 10^{-11}\, \mathrm{N\, m}^{2}\mathrm{kg}^{-2}\) and Earth radius \(R = 6\: 370\, \mathrm{km}\). Round your result to nearest \(\mathrm{MJ}\).