Show that the kinetic energy $E_K$ of the satellite is given by the expression $E_K = \frac{GMm_s}{2x}$, where $G$ is the gravitational constant. Include your working.
State an expression, in terms of $G$, $M$, $m_s$ and $x$, for the potential energy $E_P$ of the satellite.
Using answers from (i) and (ii), derive an expression for the total energy $E_T$ of the satellite.
Small resistive forces acting on the satellite cause the radius of its circular orbit to change. Use your answers in (a) to state, for the satellite, whether the total energy increases, decreases or remains constant.
Use your answers in (a) to state, for the satellite, whether the radius of orbit increases, decreases or remains constant.
Use your answers in (a) to state, for the satellite, whether the potential energy increases, decreases or remains constant.
Use your answers in (a) to state, for the satellite, whether the kinetic energy increases, decreases or remains constant.