Working with archimedes principle.

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Homework Help Overview

The discussion revolves around Archimedes' principle, specifically focusing on the buoyant force acting on a submarine in different scenarios within a fluid. The original poster presents a situation involving a submarine at the bottom of the ocean and questions the direction of the buoyant force in two distinct cases: when the submarine is resting on the seabed and when it is lifted slightly above the seabed.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the reasoning behind the direction of buoyant force in both scenarios, with one participant attempting to justify their understanding through pressure considerations. The original poster also connects the discussion to a related problem involving relative densities of liquids and an object submerged in them.

Discussion Status

The conversation is ongoing, with participants questioning each other's reasoning and seeking clarification on the relationship between the buoyant force and the scenarios presented. Some guidance has been offered, but there is no explicit consensus on the interpretations of the forces involved.

Contextual Notes

The original poster references a related textbook question involving two liquids of different relative densities and an object of a specific relative density, indicating a potential link between the two discussions that remains to be fully explored.

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Homework Statement



Consider a submarine inside an ocean. It's bottom is flat and upper portion is hemispherical. It is settled at the bottom of the sea. What should direction of Boyant force. Upward or downward? Now by the external agent the submarine is lifted a bit up. Now it is not touching the surface of the sea. What will be direction of boyant force in this case.

Homework Equations



upthrust is equal to weight of liquid displaced.
Mainly it is dF=P.dA.

The Attempt at a Solution



I think the direction of boyant force(boyant doesn't seems to be correct word) in first case is in downward and in second case it is upward direction.
Am i correct?
 
Last edited:
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Well what is your reasoning?
 
JHamm said:
Well what is your reasoning?

Oh yes i have reasons
In short it is ∫P.dA.
In first case pressure is applied from above the submarine. Since force is perpendicular to surface so should sum up to give net force in downward direction.
In second case it's too long to explain. IT is similar in case when a body is fully inside liquid.


I post this question because it related to a question in my book that is something like this.
There are two immersible liquid of relative density 1.5 and 2.5. There is an object of relative density 2 What is percentage volume inside the liquid of relative density 1.5 & 2.5.
 
You're correct but I don't see how that problem helps you with your book's question?
 
JHamm said:
You're correct but I don't see how that problem helps you with your book's question?

Oh you did not found the link.
SO tell me what will direction of force applied by liquid above the object. that is partially dipped in upper liquid as i have presented in first example.

Do you have any good method to solve this question?(question is in my last post)
 
So you have two bowls with a liquid in each with relative densities of 1.5 and 2.5 each and you drop an identical object in each one and you want to find how much of the object sits below the surface of each liquid?
 

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