
P=1000 кило паскаль s=400 см² h=40 см A=?


Ответы на вопрос

F - сила
S - путь ( 40 см = 0,4 м )
F = p * s
p - давление ( 1000 кПа = 1000000 Па )
s - площадь ( 400 см² = 0,04 м² )
F = 1000000 * 0,04 = 40000 H
A = F * S = 40000 * 0,4 = 16000 Дж



To solve this problem, we need to use the equation:
P = F/A
where P is the pressure, F is the force, and A is the area over which the force is applied.
We are given that P = 1000 kPa (kilo pascals), s = 400 cm², and h = 40 cm. We need to find A.
First, we need to convert the units of pressure from kPa to Pa:
1 kPa = 1000 Pa
So, P = 1000 kPa = 1000 × 1000 Pa = 1,000,000 Pa
Next, we need to find the force F:
F = P × A
We know that the height of the column of liquid is h = 40 cm. The pressure of the liquid at the bottom of the column is given by the formula:
P = ρgh
where ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height of the column.
We assume that the liquid is water, which has a density of 1000 kg/m³. We convert the height of the column from cm to m:
h = 40 cm = 0.4 m
Substituting the values into the formula for pressure, we get:
P = ρgh = (1000 kg/m³) × (9.81 m/s²) × (0.4 m) = 3924 Pa
So, the force F on the bottom of the column is:
F = P × A = 3924 Pa × 400 cm² = 1,569,600 N
Finally, we can solve for A:
A = F/P = 1,569,600 N / 1,000,000 Pa = 1.57 m²
Therefore, the area over which the force is applied is A = 1.57 m².


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