• # question_answer The potential energy function associated with the force $\vec{F}=4xy\hat{i}+2{{x}^{2}}\hat{j}$ is: A) $U=-2{{x}^{2}}y$ B) $U=-2{{x}^{2}}y+$ constant C) $U=2{{x}^{2}}y+$  constant  D) not defined

[b] ${{F}_{x}}=-\frac{\partial U}{\partial x}$ or ${{F}_{y}}=-\frac{\partial U}{\partial x},$  only [b] option satisfies the criteria.