select the correct answer. when a pendulum is at maximum displacement, which statement is true? a. the…

select the correct answer. when a pendulum is at maximum displacement, which statement is true? a. the potential energy is at its greatest point. b. the potential energy is at its lowest point. c. the amplitude is at its lowest point. d. the frequency is at its greatest point.
Answer
Brief Explanations:
The potential - energy of a pendulum is given by $U = mgh$, where $h$ is the height of the pendulum bob above its lowest point. At maximum displacement, the height $h$ is maximum, so the potential energy is maximum. The amplitude is the maximum displacement and is a fixed value for a given pendulum's motion. The frequency of a simple pendulum $f=\frac{1}{2\pi}\sqrt{\frac{g}{L}}$ depends on the length $L$ of the pendulum and the acceleration due to gravity $g$, and is not affected by the displacement.
Answer:
A. The potential energy is at its greatest point.