Yes, that makes sense. Thank you for pointing that out.

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SUMMARY

The buoyant force acting on a fully submerged 1-liter bottle of water is determined using the formula Fb = V x D x G, where V is the volume, D is the density, and G is the acceleration due to gravity (9.8 m/s²). When the bottle is filled with water, the buoyant force equals the weight of the displaced water, which is 1 kg, resulting in a buoyant force of 9.8 N. Conversely, when the bottle is filled with air, the buoyant force remains the same, but the net force is affected by the weight of the air-filled bottle, leading to a net upward force.

PREREQUISITES
  • Understanding of buoyancy and Archimedes' principle
  • Familiarity with the formula for buoyant force (Fb = V x D x G)
  • Knowledge of the density of fresh water (1 g/cm³)
  • Basic grasp of Newton's laws of motion
NEXT STEPS
  • Study Archimedes' principle in detail
  • Learn how to calculate buoyant force for different fluids
  • Explore the effects of varying densities on buoyancy
  • Investigate real-world applications of buoyancy in engineering
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Students studying physics, educators teaching buoyancy concepts, and anyone interested in fluid mechanics and its applications.

ztf24
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Homework Statement

- [/B]

What is the buoyant force that acts on a fully submerged 1-L bottle of water? What is the buoyant force that acts on it if it is full of air, not water, but is still fully submerged? Assume you'd have to hold it under water.

Homework Equations

- [/B]Fb= V x D x G

The Attempt at a Solution

-
[/B]
I know the volume is 1L, and G is 9.8 M/S. I'm unsure with the density therefore I can't get an answer.
 
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ztf24 said:

Homework Statement

- [/B]

What is the buoyant force that acts on a fully submerged 1-L bottle of water? What is the buoyant force that acts on it if it is full of air, not water, but is still fully submerged? Assume you'd have to hold it under water.

Homework Equations

- [/B]Fb= V x D x G

The Attempt at a Solution

-
[/B]
I know the volume is 1L, and G is 9.8 M/S. I'm unsure with the density therefore I can't get an answer.
Welcome to the PF.

The density of fresh water is well known. What is the mass of each cc of water?

Assuming that the glass portion of the bottle is negligible, when it is filled with water and is underwater it's just like drawing a box around a piece of water -- that water does not go up or down, so what is the net force on it?

When the bottle is filled with air instead, how much does it weigh?
 
berkeman said:
Welcome to the PF.

The density of fresh water is well known. What is the mass of each cc of water?

Assuming that the glass portion of the bottle is negligible, when it is filled with water and is underwater it's just like drawing a box around a piece of water -- that water does not go up or down, so what is the net force on it?

When the bottle is filled with air instead, how much does it weigh?
Densiry of Water is 1g/CM 3 and the liter of water weighs 1KG
 
ztf24 said:
Densiry of Water is 1g/CM 3 and the liter of water weighs 1KG
Correct. So how can you use that and the concepts of Buoyancy to answer this set of questions?

https://en.wikipedia.org/wiki/Buoyancy

:smile:
 
berkeman said:
Correct. So how can you use that and the concepts of Buoyancy to answer this set of questions?

https://en.wikipedia.org/wiki/Buoyancy

:smile:
I guess I'm lost. I don't even know if need an equation for this problem. My guess is the buoyancy force is greater when the bottle is filled with water, and not air.
 
ztf24 said:
I guess I'm lost. I don't even know if need an equation for this problem. My guess is the buoyancy force is greater when the bottle is filled with water, and not air.
Did you read over the Wikipedia link?

I suppose it depends a bit on how your textbook defines "buoyant force". There will always be a buoyant force, but in one case it is counteracted by the weight of the water in the bottle, and in the other case it is not (when the bottle if filled with air). In the first case the bottle has no Net force on it, but in the 2nd case, there is a strong Net force which direction?

EDIT -- fixed a bunch of typos in my post...
 
berkeman said:
Did you read over the Wikipedia link?

I suppose it depends a bit on how your textbook defines "buoyant force". There will always be a buoyant force, but in one case it is counteracted by the weight of the water in the bottle, and in the other case it is not (when the bottle if filled with air). In the first case the bottle has no Net force on it, but in the 2nd case, there is a strong Net force which direction?

EDIT -- fixed a bunch of typos in my post...
There's an upward net force on the bottle
 
Read what this link says about Archimedes' principle. That will tell you how to calculate the buoyant force.
 
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ztf24 said:
Densiry of Water is 1g/CM 3 and the liter of water weighs 1KG
BTW, I missed this before. The mass of 1L of water is 1kg. To get the weight in Newtons, you need to multiply the mass by the acceleration of gravity. Makes sense?
 

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