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**[RESOLVED] Potential Elastic Energy & Kinetic Energy**

## Homework Statement

A mass of 8.0 kg arrives at a spring, with the K coefficent (constante de rappel in french) of 250 N/m with a speed of 5.0 m/s It hits the spring and returns in the other way.

## Homework Equations

[tex]E= 1/2mv^{2}[/tex]

[tex]E= 1/2Kx[/tex]

## The Attempt at a Solution

[tex]E_{before}=E_{after}[/tex]

[tex]1/2mv^{2} = 1/2Kx[/tex]

[tex](1/2)(8)(5)^{2} = (1/2)(250)x[/tex]

[tex](1/2)(8)(5)^{2} = (1/2)(250)x[/tex]

[tex]100 = 125x[/tex]

[tex]100/125 = x[/tex]

[tex]0.8 = x[/tex]

This gives me a distance of 0.8 meters, I have indicated that the answer was 0.89 meters, now I am not sure if I mistakingly indicated 0.89meters or I made a mistake at some point.

I appreciate your help in advanced.

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