(b) The satellite's booster rockets fire and lift the satellite to a higher circular orbit of radius 2R1. The satellite follows the path shown in the diagram below, moving a total distance S during the orbital change. The component of the rockets' force parallel to the path is given by the X equation F = F (1-1), where x is the variable distance traveled Earth along the path at any moment. 2R i. Derive an expression for the total work done on the satellite by the force F in terms of F. and S. R Boost path ii. If the total distance S is equal to 3R1, derive an expression for F. in terms of R1, Me, m, and fundamental constants, as appropriate.