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12 December, 18:58

Find the value of the spring constant for the spring in trial i. use 0.367 s for the value of the period. the mass of the suspended block is 0.400 kg. enter your answer in n/m with three significant figures.

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  1. 12 December, 20:53
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    The period of a spring as a function of the mass and the spring constant is given by:

    T = 2 * pi * root (m / k)

    We clear the value of k:

    root (m / k) = (T) / (2 * pi)

    m / k = ((T) / (2 * pi)) ^ 2

    k = m * ((2 * pi) / (T)) ^ 2

    Substituting the values:

    k = (0.400) * ((2 * (3.14)) / (0.367)) ^ 2

    k = 117.1243383

    three significant figures:

    k = 117 N / m

    Answer:

    the value of the spring constant is:

    k = 117 N / m
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