An office window has dimensions 3.1 m by 2.1 m. As a result of the passage of a storm, the outside air pressure drops to 0.954 atm, but inside the pressure is held at 1.0 atm. What net force pushes out on the window

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Answer:

Net forces which pushes the window is 30342.78 N.

Explanation:

Given:

Dimension of the office window.

Length of the window = [tex]3.1[/tex] m

Width of the window = [tex]2.1[/tex] m

Area of the window = [tex](3.1\times 2.1) = 6.51\ m^2[/tex]

Difference in air pressure = Inside pressure - Outside pressure

                                           = [tex](1.0-0.954)[/tex] atm = [tex]0.046[/tex] atm

Conversion of the pressure in its SI unit.

⇒  [tex]1[/tex] atm = [tex]101325[/tex] Pa

⇒ [tex]0.046[/tex] atm = [tex]0.046\times 101325 =4660.95[/tex] Pa

We have to find the net force.

We know,

⇒ Pressure = Force/Area

⇒ [tex]Pressure=\frac{Force }{Area}[/tex]

⇒ [tex]Force =Pressure\times Area[/tex]

⇒ Plugging the values.

⇒ [tex]Force =4660.95\times 6.51[/tex]

⇒ [tex]Force=30342.78[/tex] Newton (N)

So,

The net forces which pushes the window is 30342.78 N.