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A particle experiences a force given by $F(x) = kx^2$.

What is the potential energy function, $\Delta U(x)$, associated with this force?

A

$ -kx $

B

$ -2kx $

C

$ \cfrac {kx^2}{4} $

D

$ \cfrac {kx^3}{2} $

E

$ -\cfrac {kx^3}{3} $

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