Buoyant Force in High vs Low Density Liquids: Homework Statement & Solution

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Homework Help Overview

The discussion revolves around the buoyant force experienced by an object submerged in liquids of different densities. Participants explore how the density of the liquid affects the stability and buoyancy of the object, questioning the relationship between buoyant force and the volume of liquid displaced.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the concept of buoyant force and its dependence on liquid density, questioning the stability of floating objects in different liquids. They raise points about the definitions of submerged versus floating and the implications of these states on buoyant force.

Discussion Status

The conversation is ongoing, with participants providing guidance through questions aimed at deepening understanding. There is an emphasis on clarifying definitions and exploring the reasoning behind the buoyant force being the same in both cases, without reaching a definitive conclusion.

Contextual Notes

Some participants note that the original poster did not provide the full context of the problem initially, which has led to further questioning and exploration of the concepts involved.

  • #31
haruspex said:
Yes, that would generally be true.
So, the reason that the object is less stable in more dense water is because when the object float higher in liquid, it has more tendency to turn over?
 
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  • #32
chetzread said:
So, the reason that the object is less stable in more dense water is because when the object float higher in liquid, it has more tendency to turn over?
Yes. But as I posted, that is only the general trend. There may be exceptions according to shape.
 
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  • #33
haruspex said:
Yes. But as I posted, that is only the general trend. There may be exceptions according to shape.
Exception according to shape? Can you explain further?
 
  • #34
The trick is to realize what gives rise to the stability.
To do that, draw the same shape in two different liquids, as per my example to start with, then do another sketch with them a bit tilted over.
Look to see where the forces act (hint: pressure is perpendicular to the surface, and the pressure at the sides is also important.)

Do you understand where the buoyancy force comes from in the first place?

(I know I said "tomorrow but I have insomnia - and I saw post #25 before post #24 for some reason.)
 
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  • #35
Simon Bridge said:
The trick is to realize what gives rise to the stability.
To do that, draw the same shape in two different liquids, as per my example to start with, then do another sketch with them a bit tilted over.

Look to see where the forces act (hint: pressure is perpendicular to the surface, and the pressure at the sides is also important.)

Do you understand where the buoyancy force comes from in the first place?

(I know I said "tomorrow but I have insomnia - and I saw post #25 before post #24 for some reason.)
Here it is, so what are you trying to say?
 

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  • #36
is there anything to do with the metacentric height , buoyant point in this question ?
 
  • #37
chetzread said:
is there anything to do with the metacentric height , buoyant point in this question ?
Not specifically. I just wanted to alert you to the fact that the topic is subtler than may appear, that it might not actually be true that the object would always be more stable in the lighter fluid, and that even if it is a rigorous proof would not be easy.
 

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