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5.38 An ideal spring has the spring constant k = 440 N/m. Calculate the
distance this spring must be stretched from its equilibrium position for
25 J of work to be done.

Respuesta :

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The spring stretched 0.476 meter from equilibrium position.

The work done is given as,

                             [tex]workdone=\frac{1}{2}kx^{2}[/tex]

Where x is the distance stretched from  equilibrium position.

Given that,   [tex]k=440N/m,W=25J[/tex]

              [tex]25=\frac{1}{2}*440*x^{2} \\\\x^{2} =\frac{100}{440}=0.227\\\\x=\sqrt{0.227}=0.476m[/tex]

Therefore, the spring stretched 0.476 meter from equilibrium position.

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