Pascal's Law - Containers filling up

In summary, the conversation discusses the concept of pressure and its relationship to the amount of water in different containers. Graeme's first instinct is that all the pressures are equal, and after further discussion, this is confirmed to be the case.
  • #1
Glorzifen
25
0

Homework Statement


2zhp4p3.jpg


Homework Equations


P1=P2

The Attempt at a Solution


My first instinct is E), they are all equal.

So the water fills up the bottom part slowly and it will fill up to the level of the containers equally (obviously). From there, the water will start filling the containers. The amount of water in each container that is pushing down will be the amount of water found in the 'vertical lines' drawn up from the base of the container (does that make sense?). So there will be more water pushing down in C than in A. But this doesn't matter because the amount of pressure in one area manifests itself equally throughout the water.

Anyway, the more I think about it the more (E) makes sense. Would like to make sure that's the case though.

Thanks,

Graeme
 
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  • #2
Glorzifen said:
My first instinct is E), they are all equal.

Hi Graeme! :smile:

Yes, it's E … pressure at the same height is the same.
 

1. What is Pascal's Law and how does it apply to containers filling up?

Pascal's Law states that pressure applied to a confined fluid will be transmitted equally in all directions. In the context of containers filling up, this means that as a fluid is poured into a container, the pressure will increase uniformly throughout the container, causing the fluid to fill up the entire volume of the container.

2. How does the shape of a container affect the application of Pascal's Law?

The shape of a container does not affect the application of Pascal's Law. As long as the container is closed and the fluid is confined, the pressure will be transmitted equally throughout the container regardless of its shape.

3. Can Pascal's Law be applied to both liquids and gases?

Yes, Pascal's Law can be applied to both liquids and gases. As long as the fluid is confined, the pressure will be transmitted equally in all directions.

4. How does the amount of fluid in a container affect the pressure according to Pascal's Law?

The amount of fluid in a container does not affect the pressure according to Pascal's Law, as long as the fluid is confined. The pressure will be transmitted equally throughout the container regardless of the amount of fluid present.

5. Are there any real-world applications of Pascal's Law in containers filling up?

Yes, there are many real-world applications of Pascal's Law in containers filling up. For example, hydraulic systems use Pascal's Law to exert force and lift heavy objects by applying pressure to a confined fluid. This principle is also used in gas cylinders, water tanks, and even in the human body, where blood pressure is regulated by Pascal's Law.

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