Work Energy And Power Question 330

Question: The potential energy function associated with the force $ \vec{F}=4xy\hat{i}+2x^{2}\hat{j} $ is:

Options:

A) $ U=-2x^{2}y $

B) $ U=-2x^{2}y+ $ constant

C) $ U=2x^{2}y+ $ constant

D) not defined

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ F _{x}=-\frac{\partial U}{\partial x} $

or $ F _{y}=-\frac{\partial U}{\partial x}, $

only [b] option satisfies the criteria.



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