A near surface earth satellite is in the shape of a sphere of radius r. It encounters cosmic dust in its path. The viscous force experienced by the satellite follows stoke’s law. The coefficient of viscosity is `eta`. Mass and radius of the earth are M and R respectively. (a) Calculate the power of the rocket engine that must be put on to keep the satellite moving as usual. (b) Calculate the equilibrium temperature of the surface of the satellite assuming that it radiates like a black body and no outer radiation falls on it. Assume that the heat generated due to viscous force is absorbed completely by the satellite body.
