Conservative Forces for Constant C

AI Thread Summary
To determine the value of the constant c for the force F = i(2x + y²) + j(cxy) to be conservative, one must apply the definition of conservative forces. The discussion emphasizes the importance of using derivatives to test for conservativeness, specifically by checking if the mixed partial derivatives of the force components are equal. Participants express uncertainty about the specific derivative to use and seek guidance on completing the problem. Clarification on the method of finding these derivatives is needed to progress in solving the problem. Understanding the conditions for conservativeness is crucial for finding the appropriate value of c.
engineertech0
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Homework Statement



For what value of the constant c is the force F=i(2x +y2)+ j(cxy) conservative?

Homework Equations


F = ma


The Attempt at a Solution


Unsure of where to start
 
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welcome to pf!

hi engineertech0! welcome to pf! :smile:

(try using the X2 icon just above the Reply box :wink:)

which definition (or test) of conservative force do you think will be useful here? :wink:
 
From my understanding, taking the derivative of the function could yield the results to find if it is conservative
 
engineertech0 said:
From my understanding, taking the derivative of the function could yield the results to find if it is conservative

yes, which derivative, how? :smile:
 
thats where i need help. one i know where to take the derivative and how i can complete the problem
 

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