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Question about Spring constants?

A 79.0 kg student is standing atop a spring in an elevator as it accelerates upward at 3.80 m/s2. The spring constant is 2100 N/m. By how much (in m) is the spring compressed, assuming that the local acceleration due to gravity is 9.80 m/s2?

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  • 10 years ago
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    the spring will record the normal force of the student standing atop it

    we find the normal force by applying newton's second law to the student

    sum of forces = m a

    normal force - weight = m a

    N - mg = ma

    N = m(g+a) = 79kg(9.8m/s/s+3,8m/s/s) = 1074.4N

    this is the force on the spring, so its compression is

    F = k x => x = F/k = 1074.4N/2100N/m = 0.51m

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