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!

Derive conservation of mechanical energy for a simple spring.

  1. Aug 22, 2008 #1
    Starting with the equation of motion -kx = ma , it is said that integrating this with respect to x gives the equation for conservation of mechanical energy.

    Only problem is i don't see how to integrate the right hand side with respect to x...
  2. jcsd
  3. Aug 22, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    Hi Narcol2000! :smile:

    Hint: use the Chain Rule to get a as a function of x:

    a = dv/dt = (dv/dx)(dx/dt) = … ? :smile:
  4. Aug 22, 2008 #3
    Turns into the integral of (mv dv) which gives the answer required... seems so easy looking back.... :(

    Thanks for your help.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook