A particle moves in a one-shydimensional potential given by, Ask an Expert

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A particle moves in a one-dimensional potential given by V(x) = Vo(e^-ax + bx),(V(x) is potential not velocity) where Vo, a and b are all positive constants.

(a) Find the force on the particle at any point x.

(b) Sketch the potential and the force as functions of x. Make a Taylor expansion of the potential about the equilibrium point.

(d) If the equilibrium point is a stable one, find the frequency for small oscillations about this point. WELL EXPLAINED ANSWERS GET BETTER RATINGS.

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