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Frequency and Period of SHM

AP Physics 1· difficulty 2/5

A spring stretches 0.20 m0.20~\text{m} when a 1.0 kg1.0~\text{kg} mass hangs from it. The period of small vertical oscillations (using g≈10 m/s2g \approx 10~\text{m/s}^2) is

  • A

    0.89 s0.89~\text{s}

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  • B

    2.0 s2.0~\text{s}

  • C

    0.45 s0.45~\text{s}

  • D

    1.4 s1.4~\text{s}

Explanation

k=mg/x=50 N/mk = m g/x = 50~\text{N/m}. T=2π1/50≈0.89 sT = 2\pi\sqrt{1/50} \approx 0.89~\text{s}.

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