Results 1 to 2 of 2

Math Help - Work Problem

  1. #1
    Junior Member
    Joined
    May 2008
    Posts
    56

    Work Problem

    If 6J work is needed to stretch a spring from 10cm to 12cm and another 10J is needed to stretch it from 12 cm to 14 cm, what is the natural length?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member vincisonfire's Avatar
    Joined
    Oct 2008
    From
    Sainte-Flavie
    Posts
    469
    Thanks
    2
    Awards
    1
    This is a physic problem I suggest you this forum Physics Help and Math Help - Physics Forums
    However,
     U = \frac{1}{2} k (x-x_0)^2
     U_1 = \frac{1}{2} k (10-x_0)^2
     U_2 = \frac{1}{2} k (12-x_0)^2
     U_2 - U_1 = 6 = \frac{1}{2} k [(12-x_0)^2 - (10-x_0)^2]
    Solve for k
    Replace k by what you found in
     U_4 - U_3 = 10 = \frac{1}{2} k [(14-x_0)^2 - (12-x_0)^2]
    and solve for  x_0
    Answer is 8.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Work Problem?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 31st 2010, 06:41 PM
  2. SAT Work Problem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 3rd 2010, 02:44 PM
  3. Another work problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 5th 2009, 03:31 PM
  4. work problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 8th 2008, 08:45 AM
  5. A Work Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 5th 2007, 08:14 AM

Search Tags


/mathhelpforum @mathhelpforum