Suppose that the potential energy of a particle moving along the x axis is
U(x) = b/x^2 – 2c/x
where b and c are positive constants.
(a) Plot U(x) as a function of x; assume b = c = 1 for this purpose.Where is the equilibrium point?
(b) Suppose the energy of the particle is E = −c^2/2b. Find the turning points of the motion.
(c) Suppose that the energy of the particle is E = c^2/2b . Find the turning points of the motion. How many turning points are there in this case?
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