Calculating Gravitational Potential Energy of a Ball Suspended from a Ceiling

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SUMMARY

The gravitational potential energy (GPE) of a 1.70 kg ball suspended from a ceiling by a 1.15 m string can be calculated using the formula GPE = mass x gravity x displacement. The displacement for GPE relative to the ceiling is 1.15 m, while the displacement relative to the floor is 3.00 m - 1.15 m = 1.85 m. Therefore, the GPE relative to the ceiling is 1.70 kg x 9.8 m/s² x 1.15 m, and the GPE relative to the floor is 1.70 kg x 9.8 m/s² x 1.85 m. Understanding these calculations is crucial for applying the concept of potential energy in various physical scenarios.

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  • Understanding of gravitational potential energy calculations
  • Familiarity with basic physics concepts such as mass, gravity, and displacement
  • Knowledge of the formula GPE = mass x gravity x height
  • Ability to perform unit conversions and arithmetic operations
NEXT STEPS
  • Calculate gravitational potential energy for different masses and heights
  • Explore the concept of kinetic energy and its relationship to potential energy
  • Learn about energy conservation in mechanical systems
  • Investigate real-world applications of gravitational potential energy in engineering
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Students studying physics, educators teaching energy concepts, and anyone interested in understanding the principles of gravitational potential energy and its applications.

hshphyss
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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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