Understanding Gravitational Potential Energy: 3 Questions Answered

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SUMMARY

This discussion clarifies the concept of gravitational potential energy (GPE) in relation to different reference points. The specific scenario involves a 1.91 kg ball suspended from a ceiling with a height of 5.94 m and a string length of 3.28 m, under the acceleration of gravity at 9.8 m/s². The key takeaway is that GPE can be calculated using the formula E = mgh, where the height (h) can be defined relative to any chosen reference point, such as the ceiling, floor, or the ball's elevation.

PREREQUISITES
  • Understanding of gravitational potential energy (GPE)
  • Familiarity with the formula E = mgh
  • Basic knowledge of physics concepts such as mass, height, and gravity
  • Ability to interpret reference points in physics problems
NEXT STEPS
  • Research how to calculate gravitational potential energy using different reference points
  • Explore the implications of choosing different zero-height reference points in GPE calculations
  • Learn about the relationship between gravitational potential energy and kinetic energy
  • Investigate real-world applications of gravitational potential energy in engineering and physics
USEFUL FOR

Students studying physics, educators teaching gravitational concepts, and anyone interested in understanding energy calculations in mechanics.

yyttr2
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I have three questions here, and I am a bit confused about what "relative to" means in this context:

1."A 1.91 kg ball is attached to a ceiling by a
3.28 m long string. The height of the room is
5.94 m .
The acceleration of gravity is 9.8 m/s2 .
What is the gravitational potential energy
associated with the ball relative to the ceiling?
Answer in units of J."
2. "What is its gravitational potential energy rel-
ative to the floor?

Answer in units of J."

3."What is its gravitational potential energy rel-
ative to a point at the same elevation as the
ball?

Answer in units of J."



I'm not looking for specific answers, I just need help interpreting the questions.
 
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yyttr2 said:
I have three questions here, and I am a bit confused about what "relative to" means in this context:

1."A 1.91 kg ball is attached to a ceiling by a
3.28 m long string. The height of the room is
5.94 m .
The acceleration of gravity is 9.8 m/s2 .
What is the gravitational potential energy
associated with the ball relative to the ceiling?
Answer in units of J."
2. "What is its gravitational potential energy rel-
ative to the floor?

Answer in units of J."

3."What is its gravitational potential energy rel-
ative to a point at the same elevation as the
ball?

Answer in units of J."



I'm not looking for specific answers, I just need help interpreting the questions.


Relative to ceiling means the distance from ceiling to the core of earth. (r + distance) r=radius of earth

Relative to floor means distance from floor to core of Earth (r + distance)

Relative to same point shuld be (r + balls height)

Im not sure its not very clear but that's how I understand it.
 
Last edited:
yyttr2 said:
I have three questions here, and I am a bit confused about what "relative to" means in this context:

1."A 1.91 kg ball is attached to a ceiling by a
3.28 m long string. The height of the room is
5.94 m .
The acceleration of gravity is 9.8 m/s2 .
What is the gravitational potential energy
associated with the ball relative to the ceiling?
Answer in units of J."
2. "What is its gravitational potential energy rel-
ative to the floor?

Answer in units of J."

3."What is its gravitational potential energy rel-
ative to a point at the same elevation as the
ball?

Answer in units of J."



I'm not looking for specific answers, I just need help interpreting the questions.
When you measure gravitational potential energy you use the formula E=mgh. But you are free to choose which height you consider to be h=0. When they say "relative to the floor" they mean use the floor as h=0.
 

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