Conservation of energy question -

AI Thread Summary
The discussion revolves around calculating various energy values related to a cylindrical container of water. The potential energy of the water was initially calculated at 4.901 MJ, but some participants questioned the accuracy due to incorrect height measurements and mass values used in the calculations. The kinetic energy of 20 kg of water just before reaching the ground was confirmed at 1176 J, with a velocity of 10.844 m/s also validated. Potential energy calculations for the top and bottom halves of the water were both stated as 2.696 MJ, but inconsistencies were noted regarding their heights. Overall, participants emphasized the need for detailed calculations and clarity in the presented answers.
KieronB
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A cylindrical container of water has a diameter of 7.98 m and a perpendicular height of 2 m. It is filled with water (1000 kg = 1000 l) and placed on top of a 4 m stand. Calculate the:
A) potential energy of the water
B) kinetic energy of 20 kg of water just before it reaches the ground, if the container over flows.
C) velocity when the 20kg reaches the ground.
D) potential energy of the top half of the water.
E) potential energy of the bottom half of the water.

Answers:
A) 4.901 MJ
B) 1176 J ------->I was able to solve this one
C) 10.844 m/s ---->I was able to solve this one aswell
D) 2.696 MJ
E) 2.696 MJ

Thank you :oldsmile:
15175833766741676587289.jpg


 

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It is hard to read your work, can you type it out?

Your potential energy seems way off. It looks like you inserted a very large number in for the mass and I'm not sure where that came from. Also, you used 4m as the height of the water. The problem is that much of the water is higher than 4m above the ground. The correct distance will be the average high of the water.

I think part B is ok.

I don't see your work for the following parts.
 
Hello Kieron, :welcome:

Please don't delete the template. See PF guidelines

Also: post your work in detail, not just the answers (or are these the book answers ?)

Then: what is your question ?

@NFuller claims PE 4.9 MJ is way off; I 'think' it's still low :smile: [edit] correct but with too many decimals.

[edit] from you r D and E I'd say they are at the same height. Strange :rolleyes:
 
As others have remarked, the image is too faint, and it is unclear whether the answers listed are your own or from the book.
For A, I agree with the 4.9MJ answer posted, but in the image you seem to have a lower number as a result of using the wrong average height. The working seems to include a mass value something like 100028, but perhaps I am misreading it.
The D answer posted is consistent with the A answer, but E is not. Maybe you looked at the wrong number when typing the post?
 
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