A particle is in a region where the potential energy has the form U = 5/2 (in joules, if x is in meters). (a) Sketch this potential energy function for 2 > 0. (b) Assuming the particle starts at rest at r = 0.5m, which way will it go if released? Why? (c) Under the assumption in part (b), what will be the particle's kinetic energy after it has moved 0.1 m from its original position? (d) Now assume that initially the particle is at x=1m, moving towards the left with an initial velocity u = 2 m/s. If the mass of the particle is 1 kg, how close to the origin can it get before it stops?