A spring has a spring constant “k” of 82.0 N/m.?

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How far must this spring be compressed to store 35.0 J of potential energy?

2 Answers

  • PE = (1/2) kx^2

    => 35 = (1/2) * 82 * x^2

    => x ^2 = 70/82

    => x = 0.924 m.

    [Of course, the spring must be sufficiently long to be able to compress this length.]

  • The energy E = ((k * x) * (x))/ 2 (The area under the Force vs. Extension graph)

    35 = (82 * x^2)/2

    x = SQR(70/82) = 0.9239 meters

    Assuming the spring is linear and large enough

    Source(s): Jim Dept. of Physics Imperial College London

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