Question

A particle of mass dimension one the positive the positive x axis. It is acted on by a constant force along directed toward the with magnitude 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 Ko mv c) Find the equilibrium position, xo

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Answer #1

a) F = -dU /dx

A/x^2 = - dU/dx

dU = - A/x^2 dx

integrating both sides we have

U = A/x

U(x) = A/x

c) equilibrium point

dU/dx = 0

A/x^2 = 0

equilibrium point will be at infinty

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