Physics

Problem

A particle moves along the

x

-axis under a force given by

F_x = -4x^{3}\,\text{N}

, where

x

is in meters. Which of the following potential-energy functions

U(x)

(up to an arbitrary additive constant

C

) is consistent with this force? a)

U(x)=4x^{4}+C

U(x)=x^{4}+C

U(x)=-x^{4}+C

U(x)=x^{2}+C