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A particle of mass m moves in one dimension along the positive x axis. It is acted on by a constant force directed toward the origin with magnitude B, and an inverse square law repulsive force with magnitude A /x2.

a. Find the potential energy function U(x).

b. Sketch the energy diagram for the system when the maximum kinetic energy is K0 = mv02.

c. Find the equilibrium position, x0.

d. What is the frequency of small oscillations about x0?

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