potential and kinetic energy. the rope that is being used to hang the rock is going to be cut. when the rock…

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