If you do 110 J of work to elevate a bucket of water, how much energy did you add to the gravitational field?

To determine the amount of energy added to the gravitational field, we need to consider the gravitational potential energy. Gravitational potential energy is associated with the height of the object above the reference level.

The formula to calculate gravitational potential energy is:

Potential Energy (PE) = mass (m) × acceleration due to gravity (g) × height (h)

Given that you did 110 J of work to elevate the bucket of water, this work done is equal to the increase in potential energy. Therefore, the amount of energy added to the gravitational field is 110 J.