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Frequency and Period of SHM

AP Physics 1· difficulty 4/5

A 0.5 kg mass oscillates on a spring with period 0.4 s. The spring constant is approximately

  • A

    5050 N/m

  • B

    200200 N/m

  • C

    1.01.0 N/m

  • D

    123.4123.4 N/m

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Explanation

T=2πm/k⇒k=4π2m/T2=4π2⋅0.5/0.16≈123.4T = 2\pi\sqrt{m/k} \Rightarrow k = 4\pi^2 m/T^2 = 4\pi^2\cdot 0.5/0.16 \approx 123.4 N/m.

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