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AP Physics C: Mechanics
7.4 Energy of Simple Harmonic Oscillators
7.3 Representing and Analyzing SHM
IntermediateMCQConceptual15.6k
A 2D line graph plotted on a rectangular coordinate system. The horizontal axis is labeled with time t and features five evenly spaced major tick marks labeled 0, T_0/4, T_0/2, 3T_0/4, and T_0. The vertical axis is labeled Energy and features two tick marks labeled 0 at the origin and E_total at the top. Two curves are plotted from t = 0 to t = T_0. A solid curve, representing potential energy U, begins at (0, E_total), curves downward to touch 0 at t = T_0/4, rises to a peak at (T_0/2, E_total), drops to 0 at t = 3T_0/4, and rises back to (T_0, E_total). A dashed curve, representing kinetic energy K, begins at (0, 0), rises to a peak at (T_0/4, E_total), drops to 0 at (T_0/2, 0), rises to a peak at (3T_0/4, E_total), and returns to 0 at (T_0, 0). A rectangular legend in the upper right indicates that the solid line represents U and the dashed line represents K. No other labels, gridlines, text, or curves appear.
Kinetic and potential energy versus time for one full kinematic period \(T_0\).
A block of mass \(m\) attached to an ideal horizontal spring of spring constant \(k\) oscillates along the \(x\)-axis on a frictionless surface with amplitude \(A\) and kinematic period \(T_0\). The accompanying graph displays the kinetic energy \(K\) (dashed curve) and the elastic potential energy \(U\) (solid curve) of the block-spring system as functions of time \(t\) over the interval \(0 \le t \le T_0\).

Which of the following statements correctly interprets the graphical features of the energy curves in terms of the kinematic motion of the block?

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