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Homework Help: Finding force when given momentum

  1. Mar 1, 2006 #1
    If you are given the momentum of a particle as a function of time, How do you find the force as a function of time? Do you just take the derivative of the momentum function? In other words, if I am given p(t)=10.0t^2+7.0 would my force be 20t?
  2. jcsd
  3. Mar 1, 2006 #2


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    Force is the time derivative of momentum
    [force is the name of the derivative of momentum with respect to time]

    So you are right.
  4. Mar 1, 2006 #3
    Great thank you so if I then wanted to find the impulse the particle recieves if the force is applied to it from 0s to 10.0s all I would have to do is integrate my force equation from 0 to 10 right?
  5. Mar 1, 2006 #4


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    Yes, you would integrate with respect to t.
  6. Mar 1, 2006 #5


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    The integral of the force over the time interval is its impulse. The impulse of a force is a vector given by the integral

    http://em-ntserver.unl.edu/negahban/em373/note12/note_files/image008.gif [Broken]

    You're good at this stuff man :wink:

    EDIT: Hootenanny replied while I was typing.
    Last edited by a moderator: May 2, 2017
  7. Mar 1, 2006 #6
    Great thank you both for all your help!
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