Suppose in an alternate universe the gravitational potential were U = GMm. The prime symbol r2 () reminds us that this is a fictional universe so that you hopefully don't get confused about our real universe. (a) What is the new gravitational force law, F? (b) What are the dimensions of the new gravitational constant, G? (c) What is the numerical value (with units) for G if the acceleration of gravity on the surface of the Earth were still 9.8 m/s2? (d) How long would a year be in this alternate universe? Assume the Sun has the same mass and is at the same distance from Earth. (e) (End note) Please remember: The Newtonian Gravity force of gravity is an inverse square law (F = GMmr)