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Calculating work with force and position vectors

  1. Oct 7, 2012 #1
    1. The problem statement, all variables and given/known data
    What work is done by a force [itex]\vec{F}[/itex]=((2 N/m)x)[itex]\hat{i}[/itex] + (3 N)[itex]\hat{j}[/itex], with x in meters, that moves a particle from a position [itex]\vec{r}[/itex]1=(2 m)[itex]\hat{i}[/itex] + (3 m)[itex]\hat{j}[/itex] to a position [itex]\vec{r}[/itex]2=-(4 m)[itex]\hat{i}[/itex] - (3 m)[itex]\hat{j}[/itex]


    2. Relevant equations
    Work=F[itex]\bullet[/itex]d


    3. The attempt at a solution
    [itex]\int_{2}^{-4}[/itex](2x)dx + [itex]\int_{3}^{-3}[/itex](3)dx

    ##\left.x^2\right|_2^{-4} + \left.3x\right|_3^{-3}##

    ##(16-4)+(-9-9)=-6 J##

    Thanks.
     
  2. jcsd
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