Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Force and Work.

  1. Mar 23, 2010 #1
    1. The problem statement, all variables and given/known data

    A force F = bx[tex]^{3}[/tex] acts in the x-direction. How much work is done by this force in moving an object
    from x = 0.0 m to x = 2.6 m? The value of b is 3.7 N/m3.

    [tex]\Delta[/tex]x = 2.6m

    2. Relevant equations
    W = F[tex]\Delta[/tex]x
    F = bx[tex]^{3}[/tex]

    3. The attempt at a solution
    I have no attempted solutions to this problem. I feel as if I simply am overlooking something very simple. I'm not necessarily looking for an answer, but perhaps someone could point out a concept I may have missed or not shown here that would spark my brain into solving it.

    Any help is greatly appreciated.
  2. jcsd
  3. Mar 23, 2010 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    You have the wrong relevant equation for work. When the force doing work is variable, work is not just "force times displacement." The correct equation for an element of work in one dimension is


    To get the total work you must integrate this expression.
  4. Mar 23, 2010 #3
    Thank you very much, as I thought, I was just over looking something. That solved my problem.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook