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AP Physics C: Mechanics
7.2 Frequency and Period of SHM
4.4 Elastic and Inelastic Collisions
Multi-Unit
AdvancedMCQMathematicalProportional AnalysisConceptual16.3k
A schematic diagram showing a horizontal frictionless surface bounded by a vertical wall on the left. An ideal horizontal coiled spring is attached to the wall and extends to the right, connected to a rectangular block labeled M. A horizontal rightward arrow labeled v_0 originates from the center of the block. To the right of the block, a small rounded lump of clay labeled m is shown in midair just above the surface, with a horizontal leftward arrow labeled v_c directed toward the block. A vertical dashed line indicates the equilibrium position of the spring-block system passing through the center of block M. No other labels, lines, text, or axes appear.
A block attached to a spring colliding with an incoming lump of clay.
A block of mass \(M = 0.16\text{ kg}\) on a frictionless horizontal surface is attached to an ideal spring and oscillates with a period of \(T_0 = 0.80\text{ s}\). As the block passes through its equilibrium position with a speed of \(v_0 = 1.2\text{ m/s}\), a lump of clay of mass \(m = 0.09\text{ kg}\) moving horizontally at \(v_c = 0.80\text{ m/s}\) in the opposite direction collides with and sticks to the block. What is the updated period of oscillation of the block-clay system?

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