Calculating Gravitational Potential Energy of a Ball Suspended from a Ceiling

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To calculate the gravitational potential energy (GPE) of a 1.70 kg ball suspended from a ceiling, the formula used is GPE = mass x gravity x displacement. The height of the room is 3.00 m, and the string length is 1.15 m, leading to a displacement of 1.15 m when calculating GPE relative to the ceiling. For GPE relative to the floor, the displacement is 3.00 m. The discussion emphasizes understanding potential energy as the capacity for a force to do work in various scenarios. The complexities of the problem arise from determining the correct displacement for each reference point.
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Can anyone help me with this problem?

A 1.70 kg ball is attached to a ceiling by a 1.15 m long string. The height of the room is 3.00 m. What is the gravitational potential energy of the ball relative to the ceiling and floor?

I'm having trouble finding the displacement. I know that its going to be mass x gravity x displacement... so that's 1.70 x 9.8 x displacement... i thought it was 3-1.15 but that didnt work
 
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It has a GPE relative to the ceiling (its displacement is the distance to the ceiling) and a GPE relative to the floor (its displacement is the distance to the floor).
 
" Potential Energy" is named that because we can imagine scenarios in which a Force would "potentially" do Work, if the process occurred.
I can imagine that somebody hits the yo-yo sideways so that it swings up to the ceiling.
But then, the string might break ... .
 

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