Show that the satellite's kinetic energy $E_K$ can be expressed as $E_K = \dfrac{GMm_s}{2x}$, where $G$ is the gravitational constant. Explain your working.
State an expression, in terms of $G$, $M$, $m_s$ and $x$, for the satellite's potential energy $E_P$.
Using your answers to (i) and (ii), derive an expression for the satellite's total energy $E_T$.
Use your answers in (a) to state, for the satellite, whether the total energy increases, decreases or stays constant when small resistive forces acting on the satellite make the radius of its circular orbit change.
Use your answers in (a) to state, for the satellite, whether the radius of orbit increases, decreases or stays constant when small resistive forces act on the satellite.
Use your answers in (a) to state, for the satellite, whether the potential energy increases, decreases or stays constant when small resistive forces act on the satellite.
Use your answers in (a) to state, for the satellite, whether the kinetic energy increases, decreases or stays constant when small resistive forces act on the satellite.