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?

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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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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