Frequency and Period of SHM

AP Physics 1· difficulty 1/5

Quadrupling kk in a spring-mass oscillator (same mm) changes the period by a factor of

  • A

    22

  • B

    1/41/4

  • C

    44

  • D

    1/21/2

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Explanation

T=2πm/kT = 2\pi\sqrt{m/k}. k4kk \to 4kTT/2T \to T/2.

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