Question

6. Утонет или будет плавать в воде тело объемом 2,5 дм, имеющее массу 5 кг?​

Answer 1

Ответ: утонет

Объяснение:

Дано:

m=5кг

V=2,5дм³=0,0025м³

ρ=1000кг/м³

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Fa-?

Fa=ρgV=1000*10*0,0025=25Н

ΔF=Fa-Fт=Fa-mg=25-5*10=-25Н

Тело утонет, так как сила Архимеда меньше силы тяжести на 25Н

Answer 2

Buoyancy of a Body in Water

When determining whether a body will sink or float in water, we can use the concept of buoyancy. The buoyant force acting on an object in a fluid is equal to the weight of the fluid displaced by the object. If the buoyant force is greater than the weight of the object, it will float; if it is less, the object will sink.

To calculate the buoyant force, we can use the formula:

Buoyant force = weight of the fluid displaced

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

Weight of the fluid displaced = density of the fluid × volume of the fluid displaced × acceleration due to gravity

Given the body's volume and mass, we can calculate its density and determine whether it will float or sink in water.

Calculation

The body has a volume of 2.5 dm³ and a mass of 5 kg. To determine whether it will float or sink in water, we need to calculate its density and compare it to the density of water.

The density of the body can be calculated using the formula:

Density = mass / volume

Substituting the given values: Density = 5 kg / 2.5 dm³ = 2 kg/dm³

Conclusion

The density of the body is 2 kg/dm³. Comparing this to the density of water, which is approximately 1 kg/dm³, we can conclude that the body's density is greater than that of water. Therefore, the body will sink in water.