A particle moves along the -axis under the force

PHYSICS · Subjective · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A particle moves along the xx-axis under the force F(x)=−(4x−3x2) NF(x)=-(4x-3x^{2})\,\text{N}, where xx is in metres. (i) Show that this force is conservative. (ii) Taking U=0U=0 at x=0x=0, obtain the expression for the corresponding potential energy U(x)U(x).

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