1.

A particle oscillates in one dimension about the equilibrium position subject to a force \[{{F}_{xx}}(x)\] that has an associated potential energy U(x). If k is the force constant, which one of the following relations is true? [NDA]

A. \[{{F}_{x}}(x)=k{{x}^{2}}\]
B. \[{{F}_{x}}(x)=kx\]
C. \[U(x)=\frac{1}{2}kx\]
D. \[U(x)=\frac{1}{2}{{k}^{2}}x\]
Answer» C. \[U(x)=\frac{1}{2}kx\]


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