Question

На сколько увеличится давление на дно кубического сосуда,если в него влить 100л воды? Площадь дна сосуда 1 кв метр,плотность воды-1000кг/куб метр

Answer 1

V=100л=0,1 м³
q=1000кг/м³
S=1 м²
Р-?
P=qgh
V=Sh  h=V/s=0.1м
P=1000*10*0.1=1000 Па

Answer 2

Calculation of Pressure Increase

To calculate the increase in pressure at the bottom of a cubic vessel when 100 liters of water is poured into it, we need to use the formula for pressure:

Pressure (P) = Force (F) / Area (A)

In this case, the force is the weight of the water and the area is the area of the bottom of the vessel.

The weight of the water can be calculated using the formula:

Weight (W) = Mass (m) x Acceleration due to gravity (g)

The mass of the water can be calculated using the formula:

Mass (m) = Density (ρ) x Volume (V)

Given that the density of water is 1000 kg/cubic meter and the volume of water poured into the vessel is 100 liters (which is equal to 0.1 cubic meters), we can calculate the mass of the water:

Mass (m) = 1000 kg/cubic meter x 0.1 cubic meters = 100 kg

Now, we can calculate the weight of the water:

Weight (W) = 100 kg x 9.8 m/s^2 (acceleration due to gravity) = 980 N

The area of the bottom of the vessel is given as 1 square meter.

Now, we can calculate the pressure increase:

Pressure Increase = Weight (W) / Area (A)

Pressure Increase = 980 N / 1 square meter = 980 N/m^2

Therefore, the pressure at the bottom of the cubic vessel will increase by 980 N/m^2 when 100 liters of water is poured into it.