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Energy of Simple Harmonic Oscillators

AP Physics 1· difficulty 4/5

A mass-spring system has amplitude AA and total mechanical energy EE. If the amplitude is doubled to 2A2A (same kk), the new total energy is:

  • A

    4E4E

    check_circle
  • B

    2E2E

  • C

    E2E\sqrt{2}

  • D

    EE

Explanation

E=12kA2∝A2E = \tfrac{1}{2}kA^2 \propto A^2. Doubling amplitude quadruples the energy.

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