A particle of mass m moves in a straight line under the action of a conservative force F(x) with potential energy U(x) = x² e⁻ˣ. Calculate F(x) and find the two equilibrium points of the system (i.e., points xe such that F(xe) = 0).

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17-06-2024
Physics

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A particle of mass m moves in a straight line under the action of a conservative force F(x) with potential energy U(x) = x² e⁻ˣ. Calculate F(x) and find the two equilibrium points of the system (i.e., points xe such that F(xe) = 0).

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