Consider a system of two objects of masses m and m2, located at the positions (1) and 7(2), These objects interact with each other, and the interactions are described by a potential that only depends on the difference between the two positions, 7() - 7(2). There are no further interactions or forces. (a) Write down the Lagrange function of the system, assuming the usual kinetic energies of nonrelativistic objects. final answer (b) Find a new set of coordinates such that one coordinate vector corresponds to a free object, i.e. an object that is not subject to any forces. I