question archive Figure 1 shows a harmonic oscillator at four different moments, labeled A, B, C, and D

Figure 1 shows a harmonic oscillator at four different moments, labeled A, B, C, and D

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Figure 1 shows a harmonic oscillator at four different moments, labeled A, B, C, and D. Assume that the force constant k, the mass of the block, m, and the amplitude of vibrations, A, are given. We will also assume that there are no resistive forces so the total energy of the oscillator remains constant. In part (d) to part (h), when asked “which moment”, you can indicate the answer by the letter A, B, C, or D. (a) What is the total energy energy of the system? (b) What is the maximum potential energy of the system? (c) Find the kinetic energy of the block at the moment labeled B. (d) Which moment corresponds to the maximum potential energy of the system? (e) Which moment corresponds to the minimum potential energy of the system? (f) Which moment corresponds to the maximum kinetic energy of the system? (g) Which moment corresponds to the minimum kinetic energy of the system? (h) At which moment is KE = P E? Explain mathematically. No points will be given for part (h) if you do not explain your logics.

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