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Frequency and Period of SHM

AP Physics 1· difficulty 4/5

m k

A mass m=0.5 kgm = 0.5\text{ kg} attached to a horizontal spring of stiffness k=200 N/mk = 200\text{ N/m} undergoes SHM. What is the period?

  • A

    ≈1.0 s\approx 1.0\text{ s}

  • B

    ≈0.314 s\approx 0.314\text{ s}

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  • C

    ≈0.10 s\approx 0.10\text{ s}

  • D

    ≈0.628 s\approx 0.628\text{ s}

Explanation

T=2πm/k=2π0.5/200=2π(0.05)≈0.314 sT = 2\pi\sqrt{m/k} = 2\pi\sqrt{0.5/200} = 2\pi(0.05) \approx 0.314\text{ s}.

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