Question

potential and kinetic energy. the rope that is being used to hang the rock is going to be cut. when the rock is falling, at what height is the potential energy of the rock the greatest?

Explanation:

Step1: Recall potential - energy formula

The gravitational potential energy formula is $U = mgh$, where $m$ is the mass of the object, $g$ is the acceleration due to gravity, and $h$ is the height of the object above the reference level ($h = 0$).

Step2: Analyze the relationship between height and potential energy

Since $m$ and $g$ are constant for a given rock near the Earth's surface, the potential energy $U$ is directly proportional to the height $h$. As $h$ increases, $U$ increases.

Answer:

3 meters