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Frequency and Period of SHM

AP Physics 1· difficulty 1/5

A block of mass 0.50 kg0.50~\text{kg} oscillates on a spring with k=200 N/mk = 200~\text{N/m}. What is the period of oscillation?

  • A

    1.0 s1.0~\text{s}

  • B

    0.31 s0.31~\text{s}

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  • C

    0.10 s0.10~\text{s}

  • D

    0.63 s0.63~\text{s}

Explanation

T=2πm/k=2π0.50/200=2π(0.05)≈0.314 sT = 2\pi\sqrt{m/k} = 2\pi\sqrt{0.50/200} = 2\pi(0.05) \approx 0.314~\text{s}.

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