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Energy of Simple Harmonic Oscillators

AP Physics 1· difficulty 2/5

A spring-mass oscillator has k=80 N/mk = 80~\text{N/m} and amplitude A=0.20 mA = 0.20~\text{m}. What is its total mechanical energy?

  • A

    0.80 J0.80~\text{J}

  • B

    1.6 J1.6~\text{J}

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  • C

    16 J16~\text{J}

  • D

    3.2 J3.2~\text{J}

Explanation

E=12kA2=12(80)(0.20)2=1.6 JE = \tfrac{1}{2}k A^2 = \tfrac{1}{2}(80)(0.20)^2 = 1.6~\text{J}.

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