(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the potential functions for these conservative forces:

(1)F=xi+yj

(2)F=yi+xj

2. Relevant equations

F=-[tex]\nabla[/tex]V (Force = -del (Pot.energy))

3. The attempt at a solution

So, I'm guessing to get V I just need to integrate F. For the first equation that gets me the right answer hurray!

However I think my method is wrong(or my general understanding the opposite of partial derivatives). Doing the same thing to eqn 2 leaves me with a slight problem.

-([tex]\int[/tex]y dx +[tex]\int[/tex]x dy)leaves me with -2xy+C. The correct answer should be -xy+C

(I checked and it is indeed a conservative force)

Please enlighten me

Thanks in advance

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# Homework Help: Potential Function from a simple conservative force

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