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Energy of Simple Harmonic Oscillators

AP Physics 1· difficulty 3/5

A spring oscillator has total energy EE and amplitude AA. At x=A/2x = A/2, its kinetic energy is

  • A

    E/2E/2

  • B

    3E/43E/4

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  • C

    E/4E/4

  • D

    EE

Explanation

U=12kx2=12k(A/2)2=E/4U = \tfrac{1}{2}k x^2 = \tfrac{1}{2}k (A/2)^2 = E/4. So K=E−U=3E/4K = E - U = 3E/4.

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