AP Physics C: Mechanics
7.4 Energy of Simple Harmonic Oscillators
7.3 Representing and Analyzing SHM
A block on a frictionless horizontal surface is attached to an ideal spring and undergoes simple harmonic motion with amplitude \(A\). Let \(x_{\max}\) be the maximum displacement, \(v_{\max}\) be the maximum speed, and \(E\) be the total mechanical energy of the oscillator. At an instant when the block is at position \(x = \dfrac{1}{2}A\), its speed is \(v\) and its kinetic energy is \(K\). Which of the following correctly ranks the ratios \(\dfrac{|x|}{x_{\max}}\), \(\dfrac{|v|}{v_{\max}}\), and \(\dfrac{K}{E}\) from greatest to least?
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