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Determine the change in gravitational potential energy as the object moves from 20,000\(km\) to 12,000\(km\) from the Earth's centre. The radius changes from \(20 \times 10^6m\) to \(12 \times 10^6m\) ...

{r^2}\] Where \(m_1\) and \(m_2\) represent the different masses, \(r\) is the distance between the centre of mass of each object and \(G\) is the Universal Gravitational Constant.