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Aparticle of mass m moves under the influence of a force given by f = (−kx + kx3/α2) where k and α are positive constants. a) find the potential energy function u(x) (take u(x=0) = 0). b) find any equilibrium points and determine if they are stable or unstable. c) sketch the potential as a function of position. d)what is the maximum total energy, emax a particle may have if its motion is to remain bounded? e) for the case of bounded motion with e
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Aparticle of mass m moves under the influence of a force given by f = (−kx + kx3/α2) where k and α a...
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