Question

Трактор массой 10т имеет площадь опоры гусениц 2.5 м(в квадрате). Определите давление производимое трактором на почву. Ответ выразить в кПа

Answer 1

P=$\frac{F}{S}$
F=mg=10000*10=100000H
P=$\frac{100000}{2.5}$=40000Па=40кПа

Answer 2

Calculation of Pressure

To determine the pressure exerted by the tractor on the ground, we need to divide the force exerted by the tractor by the area of contact between the tractor and the ground. The formula for pressure is:

Pressure = Force / Area

In this case, the force exerted by the tractor is equal to its weight. The weight of an object is given by the formula:

Weight = Mass * Acceleration due to gravity

Given that the mass of the tractor is 10 tons (or 10,000 kg) and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the weight of the tractor:

Weight = 10,000 kg * 9.8 m/s^2

Now, we need to calculate the area of contact between the tractor and the ground. The problem states that the area of contact of the tractor's tracks is 2.5 m^2.

Finally, we can calculate the pressure exerted by the tractor on the ground using the formula mentioned earlier:

Pressure = Weight / Area

Let's calculate the pressure:

Weight = 10,000 kg * 9.8 m/s^2 = 98,000 N

Area = 2.5 m^2

Pressure = 98,000 N / 2.5 m^2

Therefore, the pressure exerted by the tractor on the ground is 39,200 Pa (Pascals).