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Energy of Simple Harmonic Oscillators

AP Physics 1· difficulty 2/5

A spring oscillator with k=100 N/mk = 100~\text{N/m} and amplitude A=0.20 mA = 0.20~\text{m} has total mechanical energy

  • A

    1.0 J1.0~\text{J}

  • B

    10 J10~\text{J}

  • C

    4.0 J4.0~\text{J}

  • D

    2.0 J2.0~\text{J}

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Explanation

E=12kA2=12(100)(0.04)=2.0 JE = \tfrac{1}{2}k A^2 = \tfrac{1}{2}(100)(0.04) = 2.0~\text{J}.

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