Question

Сосуд в форме параллелепипеда ,длина,ширина и высота которого равны 30 см, 50 см и 60 см, соответственно , наполнен до самого верха водой. Определите, с какой силой жидкость давит на одну из больших боковых стенок.

Answer 1

90 к/дж так как 30*50*60=0,09кг=>90 литров=>90 к/дж

Answer 2

Calculation of the Force Exerted by the Liquid

To determine the force exerted by the liquid on one of the larger side walls of the parallelepiped-shaped vessel, we need to consider the pressure exerted by the liquid.

The pressure exerted by a liquid is given by the formula:

Pressure = Force / Area

In this case, the force exerted by the liquid is what we want to find, and the area is the area of one of the larger side walls of the vessel.

To calculate the force, we need to know the pressure and the area.

Calculation of Pressure

The pressure exerted by a liquid depends on the height of the liquid column and the density of the liquid.

The density of water is approximately 1000 kg/m^3.

The height of the liquid column can be calculated by subtracting the height of the vessel from the height of the liquid.

In this case, the height of the vessel is 60 cm, and the height of the liquid is equal to the height of the vessel since it is filled to the top.

Therefore, the height of the liquid column is 60 cm.

Now we can calculate the pressure using the formula:

Pressure = Density * Gravity * Height

where: - Density is the density of the liquid (in this case, water) in kg/m^3, - Gravity is the acceleration due to gravity, which is approximately 9.8 m/s^2, - Height is the height of the liquid column in meters.

Let's calculate the pressure:

Pressure = 1000 kg/m^3 * 9.8 m/s^2 * 0.6 m (converting cm to m)

Using a calculator, we find that the pressure is approximately 5880 Pa (Pascals).

Calculation of Area

The area of one of the larger side walls of the vessel can be calculated using the formula:

Area = Length * Height

In this case, the length and height of the vessel are both 50 cm (converting cm to m).

Therefore, the area is:

Area = 0.5 m * 0.6 m (converting cm to m)

Using a calculator, we find that the area is 0.3 m^2.

Calculation of Force

Now that we have the pressure and the area, we can calculate the force using the formula:

Force = Pressure * Area

Substituting the values we calculated:

Force = 5880 Pa * 0.3 m^2

Using a calculator, we find that the force exerted by the liquid on one of the larger side walls of the vessel is approximately 1764 N (Newtons).

Therefore, the liquid exerts a force of approximately 1764 N on one of the larger side walls of the vessel.

Please note that the calculations provided here are based on the assumption that the vessel is filled to the top and the liquid is incompressible.