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AP Physics 1
7.4 Energy of Simple Harmonic Oscillators
3.4 Conservation of Energy
3.3 Potential Energy
Multi-Unit
AdvancedMCQMathematicalProportional AnalysisConceptual15.9k
A block of mass \(m\) attached to a spring oscillating horizontally between \(-A\) and \(+A\).
A block of mass \(m\) attached to a spring oscillating horizontally between \(-A\) and \(+A\).
A block of mass \(m\) attached to an ideal horizontal spring of spring constant \(k\) oscillates on a frictionless surface with amplitude \(A\) and total mechanical energy \(E_0\). The table below lists the displacement from equilibrium \(x\), kinetic energy \(K\), elastic potential energy \(U\), and total mechanical energy \(E_{\text{total}}\) of the block-spring system at three different states during an oscillation.

StateDisplacementKinetic EnergyPotential EnergyTotal Mechanical Energy
1\(\dfrac{1}{2}A\)\(K_1\)—\(E_0\)
2\(x_2\)\(\dfrac{2}{3}E_0\)—\(E_0\)
3—\(K_3\)\(\dfrac{8}{9}E_0\)\(E_0\)

Which row in the table below correctly identifies the values of \(K_1\), the magnitude of displacement \(|x_2|\), and \(K_3\)?

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