Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar to that of the earth, producing a net electric flux of 3.63 X 10¹⁶ N • m²/C at the planet's surface. Calculate:

(a) The total electric charge on the planet;

(b) The electric field at the planet's surface (refer to the astronomical data inside the back cover);

(c) The charge density on Mars, assuming all the charge is uniformly distributed over the planet's surface.