Conservation of energy question -

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
3 replies · 2K views
KieronB
Messages
1
Reaction score
0
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


 

Attachments

  • 15175833766741676587289.jpg
    15175833766741676587289.jpg
    15.7 KB · Views: 679
Physics news on Phys.org
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?