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Finding Work from Force Equation

  1. Feb 23, 2014 #1
    1. The problem statement, all variables and given/known data
    b7f66x.png


    2. Relevant equations
    W = F*d


    3. The attempt at a solution
    a. W = Ce^(ax)*2a^-1
    b. W = Ce^(ax)*2a^-1
    c. w = Ce^(ax)*(-4a^-1)

    I feel like this problem is more than just this simple...
     
  2. jcsd
  3. Feb 23, 2014 #2

    SammyS

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    Those results don't look right.

    What do you get for the indefinite integral ## \displaystyle \int C e^{\alpha x}\ dx \ \ ? ##
     
  4. Feb 23, 2014 #3

    haruspex

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    ... in particular, there should not be any x in the answers.
     
  5. Feb 23, 2014 #4
    Ah, I just re-read the question and saw my mistake.

    How would I approach this problem with a changing force though? Do I just plug in the end position, and multiply that force by displacement?
     
  6. Feb 23, 2014 #5

    SammyS

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    dW = F dx .

    You need to integrate to integrate the force with respect to x .
     
  7. Feb 24, 2014 #6
    Ahh, I see. So integrate the force with respect to x, and use the positions as my limits.
     
  8. Feb 24, 2014 #7

    haruspex

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    Yes.
     
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