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AP Physics C: Mechanics
7.4 Energy of Simple Harmonic Oscillators
7.1 Defining Simple Harmonic Motion (SHM)
2.7 Kinetic and Static Friction
Multi-Unit
AdvancedMCQGraphicalProportional AnalysisConceptual15.7k
A schematic drawing of a horizontal mass-spring oscillator. On the left is a vertical wall represented by a vertical line with diagonal hatch marks behind it to the left. An ideal horizontal spring extends to the right from the wall and connects to the left face of a rectangular block labeled m. The block rests on a straight horizontal surface with diagonal hatch marks beneath it to indicate friction. A label k sits directly above the middle of the spring. Below the surface, an arrow labeled x points horizontally to the right, showing the positive coordinate direction. A dashed vertical tick mark on the surface marks the equilibrium position labeled 0. The block is shown displaced to the right of equilibrium at position x_0. No other labels, lines, text, or axes appear.
A block of mass \(m\) attached to a horizontal spring on a rough surface.
A block of mass \(m\) on a horizontal surface is connected to an ideal spring of force constant \(k\), whose other end is fixed to a rigid vertical wall. The surface exerts a constant kinetic friction force of magnitude \(f_k = \mu_k m g\) on the block, and air resistance is negligible. The block is pulled to an initial displacement \(x = x_0\) (where \(k x_0 > \mu_s m g\)) and released from rest at time \(t = 0\). Which of the following graphs best represents the position \(x\) of the block as a function of time \(t\) as it oscillates?

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