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AP Physics 1
7.4 Energy of Simple Harmonic Oscillators
3.4 Conservation of Energy
Multi-Unit
AdvancedMCQMathematicalProportional AnalysisConceptual25.2k
Four independent horizontal spring-mass systems oscillate in simple harmonic motion on a frictionless surface. Each system consists of an ideal spring and a block, with parameters given in the table. Position x = 0 represents the equilibrium position for each system.

SystemBlock massSpring constantAmplitudePosition of interest
1\(m\)\(k\)\(A\)\(x = 0\)
2\(m\)\(2k\)\(A\)\(x = \dfrac{\sqrt{2}}{2}A\)
3\(2m\)\(8k\)\(A\)\(x = \dfrac{1}{2}A\)
4\(4m\)\(k\)\(2A\)\(x = A\)

Which of the following correctly ranks the speeds \(v_1\), \(v_2\), \(v_3\), and \(v_4\) of the blocks at their respective positions of interest?

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