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Homework Help: Calculate the work done in Rectangle?

  1. Apr 25, 2012 #1
    1. The problem statement, all variables and given/known data

    A force acting on a particle moving in XY plane is given by F= 2y i + x^2 j . particle moves from origin to a final position having coordinates (x,y)=(5,5). calculate the work done by force F along

    B_____________C
    | |
    | |
    O |____________| A

    a) Path OAC
    b) Path OBC
    c) Path OC
    d) is force F is conservative ?

    2. Relevant equations
    work. ∫ f. dx


    3. The attempt at a solution

    a)
    Path OAC
    W= ∫(O to A) + ∫(O to B)
    = ∫ (O to A) F. dx + ∫ (O to B) F. dy
    = ∫( 0 to 5 ) 2y dx + ∫(0 to 5 ) x^2 dy

    how it goes in the intergration ..
    kindly help i am not getting it cleary..
     
  2. jcsd
  3. Apr 25, 2012 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    hi abrowaqas! :wink:

    yes that's fine :smile:

    in ∫ f(x) dy, x is a constant, so you can take it outside the ∫ …

    f(x) ∫ dy :wink:
     
  4. Apr 25, 2012 #3
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