1. The problem statement, all variables and given/known data If the gravitational acceleration at Earth's surface is given by: g = GMe/Re^2, show that the period of rotation of a spaceship needed to make an astronaut feel the same normal force on the ship that they would feel on Earth, when it is given by T = √[(4pi^2)(Rs)(Re^2)/GMe], where Rs is the radius of ship and Re is radius of earth. 2. Relevant equations Fc = ma = m(v^2/r) Fg = gMem/r^2 v = 2∏r/ T 3. The attempt at a solution Normal force on earth = normal force on ship N = mg = m(GMe/Re^2) Normal force ship on astronaut = mac = m(v^2/r) Now I'm not sure what to substitute into the Period formula and how to approach this?