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AP Physics C: Mechanics
7.4 Energy of Simple Harmonic Oscillators
7.3 Representing and Analyzing SHM
IntermediateMCQMathematicalConceptual17.9k
A mass-spring oscillator with amplitude \(A\) on a frictionless surface.
A mass-spring oscillator with amplitude \(A\) on a frictionless surface.
A block of mass \(m\) attached to an ideal horizontal spring of spring constant \(k\) oscillates with amplitude \(A\) and period \(T\) on a frictionless horizontal surface. At time \(t = 0\), the block is released from rest at position \(x = +A\). Four distinct states of the block during its motion are described below:

State 1: The block is at the equilibrium position \(x = 0\).
State 2: The magnitude of the net force acting on the block is \(\dfrac{1}{2}kA\).
State 3: The kinetic energy of the block is \(\dfrac{1}{4}E_{\text{total}}\), where \(E_{\text{total}}\) is the total mechanical energy of the oscillator.
State 4: The elapsed time since release is \(t = \dfrac{T}{2}\).

Which of the following correctly ranks the magnitude of the block's linear momentum, \(p\), in each state from greatest to least?

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