Final answer:
The potential energy of the rock relative to the base of the cliff is 77,428.92 J.
Step-by-step explanation:
To calculate the potential energy of the rock, we can use the formula:
Potential Energy = mass * acceleration due to gravity * height
In this case, the mass of the rock is 39.4 kg, the acceleration due to gravity is 9.8 m/s², and the height of the cliff is 198.1 m. Plugging those values into the formula, we get:
Potential Energy = 39.4 kg * 9.8 m/s² * 198.1 m = 77,428.92 J
Therefore, the potential energy of the rock relative to the base of the cliff is 77,428.92 J.