Question

На асфальте начерчен квадрат со стороной 0,5 м. Расчитайте массу и вес столба воздуха высотой 100 м, расположенного над квадратом, считая, что плотность воздуха не меняется с высотой и равна 1,3 кг/метр в кубе

Answer 1

S=0,5*0,5=0,25м в квадрате     V= S*h=0,25*100=25м в кубе        m=р*V=!,3*25=32,5кг       Р=32,5кг *10Н\кг=325Н

Answer 2

Calculation of the Mass and Weight of the Air Column

To calculate the mass and weight of the air column above the square, we need to consider the height of the air column and the density of the air.

Given: - Side length of the square: 0.5 m - Height of the air column: 100 m - Density of air: 1.3 kg/m^3

Calculation of the Mass of the Air Column

The mass of the air column can be calculated by multiplying the volume of the air column by its density.

The volume of the air column is equal to the area of the square multiplied by the height of the air column: Volume = (side length)^2 * height

Substituting the given values: Volume = (0.5 m)^2 * 100 m = 25 m^3

The mass of the air column is equal to the volume multiplied by the density: Mass = Volume * Density

Substituting the given values: Mass = 25 m^3 * 1.3 kg/m^3 = 32.5 kg

Therefore, the mass of the air column is 32.5 kg.

Calculation of the Weight of the Air Column

The weight of an object is the force exerted on it due to gravity. It can be calculated by multiplying the mass of the object by the acceleration due to gravity.

The acceleration due to gravity is approximately 9.8 m/s^2.

Weight = Mass * Acceleration due to gravity

Substituting the given values: Weight = 32.5 kg * 9.8 m/s^2 = 318.5 N

Therefore, the weight of the air column is 318.5 N.

Please note that these calculations assume a uniform density of air throughout the entire height of the air column.