1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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: Kx force, find x(t)

  1. Oct 6, 2016 #1
    1. The problem statement, all variables and given/known data
    A particle of mass m is subject to force F(x)=kx with K>0. The initial starting position is x0 and the initial speed is zero. Find x(t).

    2. Relevant equations

    3. The attempt at a solution
    Honestly, I am totally lost on this. I've written acceleration as v(dv/dx) which gave me mv(dv/dx)=Kx and then tried separating variables to integrate, but once I do that, I'm totally lost as I end up with m(v2/2)=K(x2/2).
    Last edited: Oct 6, 2016
  2. jcsd
  3. Oct 6, 2016 #2
    i wonder how one can write acceleration as v..dv/dt as we know it as rate of change of velocity with time.. may be a typo.
    now dv/dt can be expressed as d/dxof v multiplied by dx/dt .

    i think you should proceed with the analysis as per the rule of integration and have initial conditions at t=0 and try to find x as a function of t. as one normally does with constant forces.
  4. Oct 6, 2016 #3
    Oh, thank you, yes that was a typo. I've edited the post.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted