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28 June, 19:23

A mass on a spring vibrates in simple harmonic motion at an amplitude of 8.0 cm. If the mass of the object is 0.20 kg and the spring constant is 130 N/m, what is the frequency?

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  1. 28 June, 19:31
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    Frequency, f = 3.73Hz

    Explanation:

    The frequency of a simple harmonic 6is given by:

    f = w/2pi

    But w = Sqrt (k/m)

    Where k is the spring constant

    And m is the mass

    Given:

    Mass=0.20kg

    Spring constant, k=130N/m

    w = Sqrt (130/0.20)

    w = Sqrt (650)

    w = 25.50 m

    Frequency, f = w/2pi

    f = 25.50 / (2*3.142)

    f = 3.73Hz
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