Question

Чему равна сила архимеда, действующая на камень объемом 1 дм в кубе , который полностью погружён в воду и удерживается канатом? Найти силу, действующую на канат(плотность воды= 1000 кг/м в кубе, плотность каната = 4000 кг / м в кубе.)

Answer 1

 Дано: Fарх=10Н

          V=1дм в кубе

СИ:  1дм в кубе=0,001 м в кубе

 

плотность жидкости=  Fарх:(V*g) 

  плотность жидкости= 10Н:(0,001 м в кубе *10Н\кг)

      плотность жидкости = 10Н:0,01кг\ м в кубе 

  плотность жидкости = 1000 кг\м в кубе

значит жидкость это чистая вода

 

Дано: m=135 г

         V=  25 см в кубе

плотность тела=2300 кг\ м в кубе

  плотность жидкости = 1000 кг\м в кубе

СИ:  25 см в кубе=0,000025 м в кубе 

        135 г=0,135кг

Найти: Р тела=? 

  Fарх=  плотность жидкости*V*g

   Fарх= 1000 кг\м в кубе* 0,000025 м в кубе*10H\кг

  Fарх=0,25Н

Fтела=mg

Fтела =  0,135кг*10H\кг 

F тела =1,35H

F=1,35Н-0,25Н

F=1,1Н

1,1Н вес алюминиевой детали массо 135 г и объемом 25 см в воде 

Answer 2

Calculating the Force of Buoyancy on the Stone

To calculate the force of buoyancy on the stone, we can use the formula for the buoyant force, which is given by Archimedes' principle:

Buoyant force = *Weight of the fluid displaced by the object*

The weight of the fluid displaced by the object can be calculated using the formula:

Weight of the fluid displaced = *Volume of the fluid displaced × Density of the fluid × Acceleration due to gravity*

Given: - Volume of the stone (V) = 1 dm³ - Density of water (ρ_water) = 1000 kg/m³

We can calculate the weight of the fluid displaced by the stone using the given volume and density of water.

The weight of the fluid displaced by the stone can be calculated as follows: Weight of the fluid displaced = *Volume of the stone × Density of water × Acceleration due to gravity*

Now, let's calculate the weight of the fluid displaced by the stone.

Calculation

Weight of the fluid displaced = 1 dm³ × 1000 kg/m³ × 9.81 m/s² Weight of the fluid displaced = 1 kg × 9.81 m/s² Weight of the fluid displaced = 9.81 N

So, the buoyant force acting on the stone is 9.81 N.

Force Acting on the Rope

To find the force acting on the rope, we can use the principle of action and reaction, which states that the force exerted by the stone on the rope is equal in magnitude and opposite in direction to the force exerted by the rope on the stone.

Therefore, the force acting on the rope is also 9.81 N, in the opposite direction to the buoyant force acting on the stone.

Given: - Density of the rope (ρ_rope) = 4000 kg/m³

We can calculate the volume of the rope that is submerged in water using the given density of the rope and the volume of the stone.

Calculation

The volume of the rope submerged in water can be calculated using the formula: Volume of the rope submerged = *Volume of the stone*

Given: - Volume of the stone (V) = 1 dm³

Converting the volume of the stone to m³: 1 dm³ = 0.001 m³

So, the volume of the rope submerged in water is 0.001 m³.

The force acting on the rope is equal to the weight of the water displaced by the submerged part of the rope, which can be calculated using the formula:

Force acting on the rope = *Weight of the water displaced by the submerged part of the rope*

Calculation

Weight of the water displaced by the submerged part of the rope = *Volume of the rope submerged × Density of water × Acceleration due to gravity*

Weight of the water displaced by the submerged part of the rope = 0.001 m³ × 1000 kg/m³ × 9.81 m/s² Weight of the water displaced by the submerged part of the rope = 9.81 N

So, the force acting on the rope is 9.81 N, which is equal to the buoyant force acting on the stone.

Therefore, the force acting on the rope is 9.81 N.