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Evaluate line segment C from P to Q

  1. Jul 26, 2015 #1
    1. The problem statement, all variables and given/known data
    Evaluate ∫C F⋅dr along the line segment C from P to Q

    F(x,y) = 8 i + 8 j ; P (-4,4) , Q (-4,5)

    2. Relevant equations


    3. The attempt at a solution
    I believe I got most of the work done but I am have trouble finding the limits of the curve.

    What I have done was create a vector v=PQ= <0,1>. I then made the parametric equations:

    x = -4
    y= 4 + t

    I then derived x & y to get a dr(t) = dt j

    F dot dr gives me 8dt..... combining everything I get ∫C 8dt.

    To find the limits of C I plugged Q into the parametric equations to give me values of t which were 0 & 1.

    Attached is my work to clarify, not sure if correct.
     

    Attached Files:

  2. jcsd
  3. Jul 26, 2015 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    Your result is correct, but you do not need to integrate, as it is a constant force.
     
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