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

Consider a force fieldF=c(iy-jx). From the force field calculate the work required to move a particle from the origin to the point 2i+ 4jwithout acceleration along the two different paths:

- From the origin to 2
ithen to 2i+ 4j- From the origin to 4
jthen to 2i+ 4j

Comment whether the force field is conservative or not

2. The attempt at a solution

I'm just slightly confused by the notation used in the question. I know thatiandjare just the unit vectors in thexandydirections, but what iscin the force field expression? And ifiandjare already noted in this expression, why arexandyused as well?

Assumingcis just some arbitrary constant, then is the work done simply 6cJ for both paths? My logic for this is that for the first path the work done is 2cJ along thex-axis and then 4cJ along they-axis (and the other way around for the second path).

Thus the force field is conservative (work done is independent of the path taken).

Is my logic correct, or am I missing something? Thank you

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# Homework Help: Force fields, vectors, and work (mostly just confused by notation)

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