Work required to stretch a spring 2cm vs 1cm

[msattar07]

Homework Statement

How does the work required to stretch a spring 2cm compare with the work required to stretch a spring 1 cm?

Homework Equations

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The Attempt at a Solution

i think its twice the work

 

[Hootenanny]

Assuming that the two springs are the same and Hookean, you are wrong.

 

[mysqlpress]

P.E. of a spring is 1/2kx^2 , which is directly proportional to the square of extension from the natural length

 

[Oerg]

you can derive the expression for the potential energy of the spring by integrating the hooke law over the distance moved.