The total energy stored in simple harmonic motion is proportional to the
A) square of the amplitude.
B) frequency of motion.
C) reciprocal of the spring constant.
D) square of the spring constant.
E) amplitude.

Question

Quizplus · Accepted Answer

The total energy in simple harmonic motion (SHM) is proportional to the square of the amplitude. This is because the energy, both kinetic and potential, in SHM systems like a mass on a spring or a simple pendulum, depends on the amplitude squared. The formula for the total energy in such a system is $E = \frac{1}{2}kA^2$, where $E$ is the total energy, $k$ is the spring constant, and $A$ is the amplitude.

The Total Energy Stored in Simple Harmonic Motion Is Proportional