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AP Physics C: Mechanics
7.4 Energy of Simple Harmonic Oscillators
7.1 Defining Simple Harmonic Motion (SHM)
IntermediateMCQMathematicalConceptual18.3k
A Cartesian graph with a horizontal axis and a vertical axis intersecting at an origin labeled 0. The vertical axis is labeled with an uppercase italic K with an arrow pointing upward. The horizontal axis is labeled with an italic lowercase x with a superscript 2, with an arrow pointing to the right. A single straight solid line begins at a point on the vertical axis labeled K_{\text{max}} and slopes linearly downward and to the right, intersecting the horizontal axis at a point labeled x^2_{\text{max}}. The graph contains no gridlines, no data points, and no tick marks. No other labels, lines, text, or axes appear.
Kinetic energy versus position squared for an ideal horizontal mass-spring oscillator.
A block of mass \(m\) is attached to an ideal horizontal spring of spring constant \(k\) and oscillates with amplitude \(A\) on a frictionless surface. The kinetic energy \(K\) of the block is plotted as a function of the square of its position, \(x^2\), as shown in the graph. Which of the following statements correctly identifies the physical meaning of a feature of the graph and its behavior if the spring is replaced with one of spring constant \(2k\) while keeping the amplitude \(A\) unchanged?

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