Finding gravitational potential energy

AI Thread Summary
To find the gravitational potential energy of an elevator stopping at the eighth floor, the relevant equation is E = mgh. The total height between the sixth and eighth floors is 12 meters, not the full 30 meters between the sixth and eleventh floors. Using the mass of 1350 kg and the acceleration due to gravity (9.81 m/s²), the correct calculation yields E = 1350 kg * 9.81 m/s² * 12 m, resulting in 158,760 J, which aligns with the textbook answer of approximately 1.5x10^5 J. The confusion arose from misinterpreting the total height instead of the specific height between the two floors. Understanding the correct height is crucial for accurately calculating gravitational potential energy.
jaron
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Homework Statement


The distance between the sixth and the eleventh floors of a building is 30.0m. The combined mass of the elevator and its contents is 1350 kg.

a) find the gravitational potential energy of the elevator when it stops at the eighth floor, relative to the sixth floor.

(the answer in the back of my textbook is : 1.5x10^5 J )

Homework Equations


now i am thinking E=mgh, but i am also thinking that i an going to need to do something about the work formula. i know that w=F"d, and when the force is acting in the opposite direction, you must use W=F"d cos 180'. but this might be totally irrelevant.


The Attempt at a Solution


with this equation i am getting: E=1350(9.81)(30) E=397305 J
 
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The distance between the 6th and 11th is 30 meters.

The distance between the 6th and 8th then is 12 meters isn't it?
 
yeah, thanks. i feel like an idiot about the question now..
forgot to consider that fact that the 30m was for the whole height and not for floor 6-8.
 
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