How do you integrate a force with a scalar function to find the total work done?

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Homework Help Overview

The discussion revolves around the integration of a force represented by a scalar function to determine the total work done over a specified distance from point O (0,0) to point P (1,1).

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the integration of the given force function and question the nature of the force, particularly whether it is conservative or not. There is a discussion about the implications of the force being a scalar function rather than a vector function.

Discussion Status

Some participants have raised questions regarding the classification of the force and its implications for calculating work. There is acknowledgment of the need for clarification on the nature of the force function and its representation.

Contextual Notes

Participants note that the force provided is a scalar function, which raises questions about its applicability in the context of work done, as work typically involves vector functions.

Alia Al-Hajri
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Homework Statement



Assalam Alikum
Hi everybody… a work done by a force=( x2+2xy) in a distance from..pt O =(0,0) to pt P=(1,1)




Homework Equations



Evaluate the total work?

The Attempt at a Solution



I know the solution is by integrate the force from (0,0) to (1,1)
But how that will be?
 
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since your force is not conservative, the work will depend on the path you take from (0,0) to (1,0). the work will be the line integral of F over that path.

W = [tex]/int _C F ds[/tex]

where C is the path.
 
Last edited:


Thanks...but I'm afraid that I did't get your idea!
I mean how do you know that the force is not conservative?
 


well, really, i did not look carefully enough. the force needs to be a vector function, you have given a scalar function.
 


So...you said that I can not integrate with a force has scalar function..!
Thanks allot
 

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