Final answer:
The gravitational potential energy of the stone-Earth system before the stone is released is 1.96 Joules.
Step-by-step explanation:
The gravitational potential energy of the stone-Earth system before the stone is released can be found using the equation:
Gravitational Potential Energy = mass x gravitational acceleration x height
Given that the mass of the stone is 0.18 kg, the height is 1.1 m, and the gravitational acceleration is 9.8 m/s^2, we can plug in these values to calculate the gravitational potential energy:
Gravitational Potential Energy = 0.18 kg x 9.8 m/s^2 x 1.1 m = 1.96 J
Therefore, the gravitational potential energy of the stone-Earth system before the stone is released is 1.96 Joules.