Question

"Мальчик в тёплую погоду при 0° слепил снеговика. В этом снеговике масса снега - 20 кг и масса воды - 3 кг. Плотность воды - 1000 кг/м³, плотность снега - 900 кг/м³. Плотность какой плотности мальчик получил своего снеговика?

Answer 1

Ответ: 987кг/м³

Объяснение:

Дано:

m1=20кг

ρ1=1000кг/м³

m2=3кг

ρ2=900кг/м³

-----------------------

ρ-?

ρ=m/V

m=m1+m2=20+3=23кг

V=V1+V2=m1/ρ1+m2/ρ2=20/1000+3/900=0,0233м³

ρ=23/0,0233=987кг/м³

Answer 2

Calculation of Snowman's Density

To calculate the density of the snowman, we need to determine the total volume of the snowman and the total mass of the snowman.

The total mass of the snowman is the sum of the mass of the snow and the mass of the water. In this case, the mass of the snow is 20 kg and the mass of the water is 3 kg.

The total volume of the snowman can be calculated using the formula:

Total Volume = Volume of Snow + Volume of Water

The volume of the snow can be calculated using the formula:

Volume of Snow = Mass of Snow / Density of Snow

Similarly, the volume of the water can be calculated using the formula:

Volume of Water = Mass of Water / Density of Water

Given that the density of water is 1000 kg/m³ and the density of snow is 900 kg/m³, we can substitute these values into the formulas to calculate the volumes.

Let's calculate the density of the snowman step by step.

1. Calculate the volume of snow: - Mass of Snow = 20 kg - Density of Snow = 900 kg/m³

Volume of Snow = 20 kg / 900 kg/m³

2. Calculate the volume of water: - Mass of Water = 3 kg - Density of Water = 1000 kg/m³

Volume of Water = 3 kg / 1000 kg/m³

3. Calculate the total volume of the snowman: - Total Volume = Volume of Snow + Volume of Water

Total Volume = (20 kg / 900 kg/m³) + (3 kg / 1000 kg/m³)

4. Calculate the density of the snowman: - Total Mass = Mass of Snow + Mass of Water - Total Density = Total Mass / Total Volume

Total Density = (20 kg + 3 kg) / Total Volume

Let's calculate the density of the snowman using the given values.

Calculation:

1. Calculate the volume of snow: - Volume of Snow = 20 kg / 900 kg/m³ = 0.0222 m³

2. Calculate the volume of water: - Volume of Water = 3 kg / 1000 kg/m³ = 0.003 m³

3. Calculate the total volume of the snowman: - Total Volume = 0.0222 m³ + 0.003 m³ = 0.0252 m³

4. Calculate the density of the snowman: - Total Mass = 20 kg + 3 kg = 23 kg - Total Density = 23 kg / 0.0252 m³ = 912.6984 kg/m³

Therefore, the density of the snowman that the boy made is approximately 912.6984 kg/m³.

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