AP Physics C: Mechanics
7.4 Energy of Simple Harmonic Oscillators
7.2 Frequency and Period of SHM
7.1 Defining Simple Harmonic Motion (SHM)
Three independent horizontal mass-spring oscillators, labeled 1, 2, and 3, undergo simple harmonic motion on a frictionless horizontal surface. Oscillator 1 has block mass \(m_0\), spring constant \(k_0\), and amplitude \(A_0\). Oscillator 2 has block mass \(4m_0\), spring constant \(4k_0\), and amplitude \(2A_0\). Oscillator 3 has block mass \(m_0\), spring constant \(4k_0\), and amplitude \(A_0\). Which of the following correctly compares the total mechanical energy \(E\), the maximum speed \(v_{\max}\), and the magnitude of maximum acceleration \(a_{\max}\) of the three oscillators?
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