Conservative Forces for Constant C

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Homework Help Overview

The problem involves determining the value of a constant \( c \) for which a given force vector \( F = i(2x + y^2) + j(cxy) \) is conservative. The context is rooted in the study of conservative forces in physics.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the definition or test for conservative forces that might be applicable. There is mention of taking derivatives to assess conservativeness, though specifics are not detailed.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the appropriate methods to determine if the force is conservative. Some guidance has been offered regarding the use of derivatives, but no consensus or clear direction has been established yet.

Contextual Notes

Participants express uncertainty about the starting point for the problem and the specific derivatives to consider in their analysis.

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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