Question

Задача 1.Чи буде плавати у воді тіло масою 500 г і об'ємом 4 кубічних сантиметри? Задача 2. Тіло занурене на половину свого обєму у воду. Який об'єм тіла, якщо виштовхувальна сила 5 Н?

Answer 1

Ответ: утонет; 1*10⁻³м³

Объяснение:

Дано:

m=500г=0,5кг

V=4см³=0,000004м³

ρ=1000кг/м³

g=10Н/кг

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ΔF-?

ΔF=Fa-P=ρgV-mg=g(ρV-m)=10*(1000*0,000004-0,5)=-4,996Н

Тело утонет, так как сила тяжести больше силы Архимеда

Дано:

Fa=5Н

ρ=1000кг/м³

g=10Н/кг

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V-?

Fa=ρgV

V=Fa/(ρg)*2=5/(1000*10)*2=1*10⁻³м³

Answer 2

Task 1: Will a body with a mass of 500 g and a volume of 4 cubic centimeters float in water?

To determine if a body will float in water, we need to compare its density to the density of water. If the body's density is less than the density of water, it will float; if it is greater, it will sink.

The density of water is approximately 1 gram per cubic centimeter (g/cm³). Therefore, we can calculate the density of the body using the formula:

Density = Mass / Volume

Given that the mass of the body is 500 g and the volume is 4 cubic centimeters, we can calculate the density as follows:

Density = 500 g / 4 cm³

Calculating this, we find that the density of the body is 125 g/cm³.

Since the density of the body (125 g/cm³) is greater than the density of water (1 g/cm³), the body will sink in water.

Task 2: A body is submerged halfway in water. What is the volume of the body if the buoyant force is 5 N?

When a body is submerged in a fluid, it experiences an upward force called the buoyant force. The magnitude of the buoyant force is equal to the weight of the fluid displaced by the body.

To find the volume of the body, we need to use Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the body.

Given that the buoyant force is 5 N, we can equate it to the weight of the fluid displaced by the body. Let's assume the volume of the body is V.

Buoyant Force = Weight of Fluid Displaced

5 N = Weight of Fluid Displaced

Since the body is submerged halfway, it displaces an amount of water equal to half its volume. Therefore, the weight of the fluid displaced is equal to the weight of the body.

Using the formula for weight:

Weight = Mass x Gravity

We can rewrite the equation as:

5 N = Mass of Body x Gravity

Since the weight of the body is equal to the buoyant force, we can substitute the weight of the body with the buoyant force:

5 N = Mass of Body x Gravity

We know that the acceleration due to gravity is approximately 9.8 m/s².

Now, let's solve for the mass of the body:

Mass of Body = 5 N / 9.8 m/s²

Calculating this, we find that the mass of the body is approximately 0.51 kg.

Finally, we can calculate the volume of the body using the formula:

Volume = Mass / Density

Given that the mass of the body is 0.51 kg, we need to find the density of the body. Since the body is submerged halfway, it displaces an amount of water equal to half its volume. Therefore, the density of the body is equal to the density of water.

The density of water is approximately 1000 kg/m³.

Using the formula for volume:

Volume = Mass / Density

Volume = 0.51 kg / 1000 kg/m³

Converting the units, we find that the volume of the body is approximately 0.00051 m³ or 0.51 liters.

Therefore, the volume of the body is approximately 0.51 liters.