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Representing and Analyzing SHM

AP Physics 1· difficulty 2/5

A spring oscillator with k=100 N/mk = 100~\text{N/m}, m=0.50 kgm = 0.50~\text{kg}, amplitude 0.10 m0.10~\text{m}. The maximum acceleration is

  • A

    5 m/s25~\text{m/s}^2

  • B

    50 m/s250~\text{m/s}^2

  • C

    10 m/s210~\text{m/s}^2

  • D

    20 m/s220~\text{m/s}^2

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Explanation

amax=ω2A=(k/m)A=(100/0.50)(0.10)=20 m/s2a_\text{max} = \omega^2 A = (k/m) A = (100/0.50)(0.10) = 20~\text{m/s}^2.

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