Results 1 to 2 of 2

Math Help - Work to strecth a srping problem

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    15

    Work to strecth a srping problem

    The problem is: A force of 1 pounds is required to hold a spring stretched 0.3 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length?

    I'm not sure what the first part really means, would it be the constant force? So then I would use W=F*d?

    That's what i'm confused about, I did that and got that the work is 0.3. Then plugged it in to get this intergral:

    \int_{0}^{0.7}(0.3x)dx

    Is that right?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by twoteenine View Post
    The problem is: A force of 1 pounds is required to hold a spring stretched 0.3 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length?

    I'm not sure what the first part really means, would it be the constant force? So then I would use W=F*d?

    That's what i'm confused about, I did that and got that the work is 0.3. Then plugged it in to get this intergral:

    \int_{0}^{0.7}(0.3x)dx

    Is that right?
    Hooke's Law ...

    k = \frac{F}{x}

    k = \frac{1}{.3} = \frac{10}{3} lbs/ft

    W = \int_0^{0.7} \frac{10}{3} x \, dx
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Work problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 22nd 2010, 02:33 PM
  2. Work Problem!
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 11th 2010, 05:39 PM
  3. How would i work this problem out
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 16th 2009, 07:27 PM
  4. work problem
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: September 7th 2008, 06:21 PM
  5. Help with work problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 4th 2008, 12:18 PM

Search Tags


/mathhelpforum @mathhelpforum