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Question
A particle that is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = -kx + ax3. Here, k and a are positive constants. For x ≥ 0, the functional form of the potential energy U(x) of the particle is ______
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Solution
A particle that is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = -kx + ax3. Here, k and a are positive constants. For x ≥ 0, the functional form of the potential energy U(x) of the particle is 
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