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A lesson in solving problems on the topic "Archimedean strength and the swimming of bodies"

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Alla Derog
A lesson in solving problems on the topic "Archimedean strength and the swimming of bodies"

Archimedes' force is a buoyant force that acts on a body immersed in a liquid (or gas). In this case, the volume of the displaced liquid will be equal to the volume of the submerged body (or part of the body). Archimedes' law - the weight that a body immersed in a liquid loses is equal to the weight of the liquid displaced by it.

1) Frontal poll.

1. Describe the effect of a liquid or gas on a body in them. What is the nature of the buoyancy force?

When a body is immersed in a liquid, pressure begins to act on it from all sides. Because the pressure depends on the height of the liquid column, then the pressure on the points of the body located at a greater depth is greater, i.e. upward pressure force prevails.

2. What is the name of the force that pushes out bodies immersed in liquids or gases? Repulsive force, or Archimedean force.

3. What methods can be used to determine the Archimedean force?

according to the formula FA = ρЖgVпчт
empirically FA = Rvozd - Rzh
4. On what quantities does the Archimedean force depend? What values does it not depend on?

Depends on ρ and on Vpcht
does not depend on body weight, immersion depth, body shape, body density.

5. Describe the behavior of solids in a liquid.

Solids in liquid can sink, float in liquid and on its surface, float.

6. Under what condition does a body in a liquid sink? Swims? Pops up?

The body sinks if Ft> Fzh or ρt> ρzh
The body floats if Ft = Fzh or ρt = ρzh
The body floats up if Ft <Fzh or ρt <ρzh

7. Does the Archimedean force act in zero gravity?

8. Formulate Archimedes' law.

A body immersed in a liquid or gas is subjected to a buoyant force directed from bottom to top and equal to the weight of the liquid in the volume of the body immersed in it.

2) Solving quality problems.

1. Three iron balls of equal volumes are immersed in the vessel. Are the forces pushing out the balls the same? (The density of the liquid is approximately the same due to the negligible compressibility at any depth).

Yes, because the volumes are the same, and the Archimedean force depends on the volume of the submerged part of the body, and not on the depth.

2. Bars of wood, cork and ice float on the surface of the water. Indicate which cork block, i.e. cork, and which ice? What is the relationship between the density of a body and the volume of this body above water?

No. 1 from ice, No. 3 from cork. The lower the density of the body, the more of it is above the water.

3. The wooden ball floats in the water. What are the forces acting on the ball? Draw these forces graphically. Determine the density of the given wooden ball.

Gravity and Archimedean force.

Ft = FA ball floats] Vpcht = 1 / 2V] ρt = 1 / 2ρl] ρt = 500kg / m3

4. Two weights weighing 100 g each having different volumes are suspended from the scales. Will the balance of the balance be upset if both weights are immersed in glasses of water?

Equipment: Training scales without cups, 2 vessels with water, a weight of 100 g, a weight of 100 g each.

The balance will be disturbed. On the right, the volume of the body is greater than on the left, therefore, the force of Archimedes is greater.

5. Two weights of the same mass and volume are suspended from the scales. Will the balance of the scales be disturbed if one of the weights is lowered into a glass of water, and the other into a glass of vegetable oil (kerosene or acetone)

Equipment: training scales without cups, a vessel with water, a vessel with vegetable oil or kerosene (acetone) 2 weights weighing 100 g each or a cylinder.

The balance will be disturbed, because the density of water is greater than the density of oil, then the Archimedean force is also greater.

Conclusion: Problems No. 3 and No. 4 proved once again to us that

Archimedean force depends on the volume of the submerged part of the body and the density of the fluid;
the greater the volume of the submerged part of the body, the greater the Archimedean force;
the greater the density of the liquid, the greater the Archimedean force.

 

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Alla Derog
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