Understanding Gravitational Potential Energy: 3 Questions Answered

AI Thread Summary
The discussion clarifies the concept of gravitational potential energy (GPE) and the meaning of "relative to" in various contexts. It emphasizes that GPE can be calculated using the formula E = mgh, where h can be defined based on the reference point chosen. For the ceiling, the height is measured from the ceiling down to the ball, while for the floor, it is measured from the floor up to the ball. When referencing a point at the same elevation as the ball, the height is effectively zero, resulting in zero GPE. Understanding these reference points is crucial for accurately calculating gravitational potential energy.
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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