Work Energy And Power Ques 25

Question: 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?

Options:

A) $ F _{x}(x)=kx^{2} $

B) $ F _{x}(x)=kx $

C) $ U(x)=\frac{1}{2}kx $

D) $ U(x)=\frac{1}{2}k^{2}x $

Show Answer

Answer:

Correct Answer: B