Problem 3. Conservative forces and potential energy. The only force acting on a mass m in a 3-dimensional space with coordinates x, y, and z is given by the expression F = Fo(x2y a + cx3 y) / 13 In this expression, Fo= 2.00 N, L = 0.250 m, and the value of the unknown dimensionless constant c is to be determined in part a. It is given that the force is conservative. a) Calculate the value of the constant c. b) In the 3-dimensional space, a mass m = 0.100 kg is constrained to follow a track defined by the position vectors T = xx+4.00 y - 2.00 2 Calculate the potential energy of the mass m as a function of its position along the track. Note: This problem does not tell you where the potential energy is zero. You should know what to do when this happens. c) At time t = 0, the mass m = 0.100 kg crosses the yz plane with a diminishing speed vo = 1.00 m s'1. Find the position vector of the turnaround point of the mass