Answer:
17939.88 N
Explanation:
[tex]Pressure = \frac{Force}{Area}[/tex]
⇒ [tex]P = \frac{F}{A}[/tex] ........(1)
Also, the pressure of a fluid is given as;
P = ρgh .......(2)
Where P is the pressure of the fluid
ρ is the density of the fluid ( in this question the fluid is water)
h is the height(depth) of the fluid
Equating equation (1) and (2)
[tex]\frac{F}{A}[/tex] = ρgh
Force, F = ρghA
Given:
Area of the door A = 1.13m²
Depth of the water h = 1.62m
Density of water ρ = 1000kg/m³
Acceleration due to gravity g = 9.8m/s²
F = 1000 × 9.8 × 1.62 × 1.13
F = 17939.88 N
The force require to open the door is 17939.88 N
