Question

Высота столба воды в сосуде 15 см. Какой должна быть высота столба керосина, налитого в сосуд вместо воды, чтобы давление на дно осталось прежним? Плотность воды 1000 кг/м³, Плотность керосина 800 кг/м³? ​

Answer 1

Ответ:

Объяснение:

=1/0,8*h =15*1,25==18,8

Answer 2

Calculating the Height of the Kerosene Column

To calculate the height of the kerosene column that needs to be poured into the vessel to maintain the same pressure at the bottom, we can use the principle of hydrostatic pressure. The pressure at the bottom of the vessel is determined by the height and the density of the liquid column above it.

Given: - Height of the water column = 15 cm - Density of water = 1000 kg/m³ - Density of kerosene = 800 kg/m³

The pressure at the bottom of the vessel is determined by the height and the density of the liquid column above it. The pressure at the bottom of the vessel should remain the same when the kerosene is poured in.

Calculating the Height of the Kerosene Column

The pressure at the bottom of the vessel is given by the formula: P = ρgh

Where: - P = pressure - ρ = density of the liquid - g = acceleration due to gravity - h = height of the liquid column

To maintain the same pressure at the bottom, the pressure due to the kerosene column should be equal to the pressure due to the water column.

The height of the kerosene column (h') can be calculated using the formula: P = ρ'g h'

Where: - ρ' = density of kerosene - g = acceleration due to gravity - h' = height of the kerosene column

Equating the pressures: P = P' ρgh = ρ'gh'

Solving for h': h' = (ρg/ρ')h

Substituting the given values: h' = (1000 kg/m³ * 9.81 m/s² / 800 kg/m³) * 0.15 m

h' ≈ 1.47 m

So, the height of the kerosene column that needs to be poured into the vessel to maintain the same pressure at the bottom is approximately 1.47 meters.