Question

Деревянная модель для отливки имеет массу 2 кг. Какова масса чугунной детали, изготовленная по этой модели? Плотность чугуна 7000 кг/м3, дерева 400 кг/м3 ?

Answer 1

Объёмы деталей равны => v1=v2=> m1/p1=m2/p2 m2=m1p2/p1=2*7000/400=140/4=35кг(не стал расписывать т.к.все в СИ)

Answer 2

Calculating the Mass of the Iron Part

To calculate the mass of the iron part, we can use the formula:

mass = density × volume

The density of iron is given as 7000 kg/m³ and the density of wood is given as 400 kg/m³. We can use these values to calculate the mass of the iron part.

Calculation

The ratio of the densities of iron and wood is 7000/400, which simplifies to 17.5. This means that for the same volume, iron is 17.5 times heavier than wood.

Given that the wooden model has a mass of 2 kg, the mass of the iron part can be calculated using the ratio of densities.

mass of iron part = mass of wooden model × (density of iron / density of wood)

mass of iron part = 2 kg × (7000 kg/m³ / 400 kg/m³)

mass of iron part = 2 kg × 17.5

mass of iron part = 35 kg

So, the mass of the iron part, manufactured using this model, is 35 kg.

Conclusion

The mass of the iron part, manufactured using the wooden model for casting, is calculated to be 35 kg based on the given densities of iron and wood.