Question

на земле лежит прямоугольная чугунная плита, площадь основания которая 1,5м2,а толщина 20см. какова масса плиты? каково давление плиты на землю? ​

Answer 1

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Answer 2

Calculation of the Mass of the Iron Plate

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

Mass = Density x Volume

The density of iron is approximately 7.87 g/cm³

Given that the area of the base of the plate is 1.5 m² and the thickness is 20 cm (or 0.2 m), we can calculate the volume of the plate:

Volume = Area x Thickness

Substituting the values, we get:

Volume = 1.5 m² x 0.2 m = 0.3 m³

Now, we can calculate the mass of the plate:

Mass = Density x Volume = 7.87 g/cm³ x 0.3 m³

Converting the density from g/cm³ to kg/m³ (1 g/cm³ = 1000 kg/m³), we have:

Mass = 7.87 kg/dm³ x 1000 kg/m³ x 0.3 m³

Calculating the result, we find that the mass of the iron plate is approximately 2,361 kg.

Calculation of the Pressure Exerted by the Plate on the Ground

To calculate the pressure exerted by the plate on the ground, we can use the formula:

Pressure = Force / Area

The force exerted by the plate is equal to its weight, which can be calculated using the formula:

Weight = Mass x Gravity

The acceleration due to gravity is approximately 9.8 m/s².

Substituting the values, we have:

Weight = 2,361 kg x 9.8 m/s²

Now, we can calculate the pressure:

Pressure = Weight / Area = (2,361 kg x 9.8 m/s²) / 1.5 m²

Calculating the result, we find that the pressure exerted by the plate on the ground is approximately 15,380 Pa.

Please note that these calculations assume a uniform distribution of weight and a flat, level surface.