Determine the height of the column of kerosene, which exerts a pressure on the bottom of the vessel equal to 8000 Pa.

The hydrostatic pressure of a column of kerosene at the bottom of the vessel can be expressed in the formula:
P = ρ * g * h, where P is the pressure of kerosene at the bottom of the vessel (P = 8000 Pa), ρ is the density of kerosene (we take ρ = 800 kg / m ^ 3), g is the acceleration of gravity (we take g = 9, 8 m / s ^ 2), h is the height of the kerosene column.
Let us express h:
h = P / (ρ * g) = 8000 / (800 * 9.8) = 1 m
Check: m = Pa / ((kg / m ^ 3) * m / s ^ 2) = Pa * m ^ 3 * s ^ 2 / kg * m = (kg / m * s ^ 2) * m ^ 3 * s ^ 2 / kg * m = kg * m ^ 3 * s ^ 2 / (m * s ^ 2 * kg * m) = m.
Answer. The height of the kerosene column is 1 m.



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