AP Physics C: Mechanics Flashcards: Energy of Simple Harmonic Oscillators
Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026
Review key ideas with interactive flashcards. This set includes 10 cards to help you master important concepts.
Why does changing the amplitude of an SHM system affect its total energy?
Changing the amplitude alters the maximum potential energy stored in the system (e.g., maximum stretch of a spring), which in turn changes the constant total energy of the system.
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Why does changing the amplitude of an SHM system affect its total energy?
Changing the amplitude alters the maximum potential energy stored in the system (e.g., maximum stretch of a spring), which in turn changes the constant total energy of the system.
How is the maximum potential energy of an oscillating system related to its total energy?
The maximum potential energy of the system is equal to its total energy. This occurs at the maximum displacement (amplitude) where kinetic energy is zero.
What constitutes the total mechanical energy of a system in Simple Harmonic Motion (SHM)?
The total mechanical energy is the sum of the system's kinetic energy (K) and potential energy (U). The relevant equation is E_total = U + K.
What is the relationship between kinetic energy, potential energy, and total energy at the point of maximum displacement in SHM?
At maximum displacement (the amplitude), kinetic energy is zero, and the potential energy is at its maximum, which is equal to the total energy of the system.
If the amplitude of a spring-object system in SHM is doubled, how does its total energy change?
Since total energy is proportional to the square of the amplitude (E_total = (1/2)kA²), doubling the amplitude quadruples the total energy of the system.
State the equation for the total energy of a spring-object system in SHM in terms of its amplitude.
The total energy for a spring-object system is given by the equation E_total = (1/2)kA², where k is the spring constant and A is the amplitude.
A spring-object system has a total energy E. If the amplitude is reduced by half, what is the new total energy?
The new total energy will be one-fourth of the original (E/4), because the total energy is proportional to the square of the amplitude.
At what point in its oscillation does a mass on a spring have zero potential energy and maximum kinetic energy?
The system has zero potential energy and maximum kinetic energy when it passes through the equilibrium position, where the total energy is entirely kinetic.
What principle governs the total energy of a system exhibiting SHM?
The principle of conservation of energy governs the system, which indicates that the total energy of a system in SHM remains constant.
Define 'Conservation of Energy' in the context of SHM.
In SHM, conservation of energy means the total mechanical energy, which is the sum of the constantly changing kinetic and potential energies, remains constant throughout the motion.