physics

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What mass on a spring with a spring constant of 120 N/m will oscillate with a period of 1.0 s?

  • physics -

    F = -k x = m a
    if x = a sin 2 pi f t
    v = 2 pi f a cos 2 pi f t
    a = - (2 pi f)^2 a sin 2 pi f t
    so
    a= -(2 pi f)^2 x
    then
    -k x = -m (2 pi f)^2 x
    (2 pi f)^2 = k/m
    here T = 1/f = 1 so f = 1/1 = 1 Hz
    (2 pi)^2 = 120/m
    m = 30/( pi^2) = 3.04 kg

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