value Го 8.25 *** [Computer] Consider a particle with mass m and angular momentum & in the field of a central force F = -k/5/2. To simplify your equations, choose units for which m = l = k = 1. (a) Find the of r at which Ueff is minimum and make a plot of Ueff (r) for 0 < r < 5ro. (Choose your scale so that your plot shows the interesting part of the curve.) (b) Assuming now that the particle has energy E = -0.1, find an accurate value of min, the particle's distance of closest approach to the force center. (This will require the use of a computer program to solve the relevant equation numerically.) (c) Assuming that the particle is at r = "min when 0, use a computer program (such as "NDSolve" in Mathematica) to solve the transformed radial equation (8.41) and find the orbit in the form r=r(0) for 07л. Plot the orbit. Does it appear to be closed? =