How much force is the air exerting on the front surface of the book with dimensions 19 x 27 cm. Assume atmospheric pressure equal to 100,000 Pa.
recall pressure is force per unit area, or
P = F/A
where the force is in Newton (N) , pressure is in Pascal (Pa) and area is in square meters (m^2)
thus, we first convert the dimensions to meters:
19 cm = 0.19 m
27 cm = 0.27 m
A = 0.19*0.27 = 0.0513 m^2
substituting,
100000 = F / (0.0513)
F = 100000*0.0513
F = 5130 N
hope this helps~ :)
Well, let's see. The force exerted by the air on the front surface of the book can be calculated using the formula F = P x A.
Given that the atmospheric pressure is 100,000 Pa and the dimensions of the front surface of the book are 19 x 27 cm, we need to convert the dimensions into meters for consistency.
So, the area (A) of the front surface of the book is (19 cm x 27 cm) = (0.19 m x 0.27 m) = 0.0513 m².
Now we can calculate the force (F) by multiplying the atmospheric pressure (P) by the area (A):
F = 100,000 Pa x 0.0513 m² = 5,130 N.
So, the air is exerting a force of 5,130 Newtons on the front surface of the book. That's quite a lot! Maybe the book should hit the gym and start lifting weights to handle all that air pressure!
To calculate the force exerted by the air on the front surface of the book, you can use the formula:
Force = Pressure x Area
Given that the atmospheric pressure is 100,000 Pa and the dimensions of the book's front surface are 19 cm x 27 cm, we first need to convert the dimensions to meters:
Length = 19 cm = 0.19 m
Width = 27 cm = 0.27 m
Next, we calculate the area of the front surface:
Area = Length x Width
Area = 0.19 m x 0.27 m
Area = 0.0513 m^2
Finally, we substitute the values into the formula:
Force = 100,000 Pa x 0.0513 m^2
Force = 5,130 N
Therefore, the force exerted by the air on the front surface of the book is 5,130 Newtons.
To calculate the force exerted by the air on the front surface of the book, we can use the formula:
Force = Pressure * Area
First, we need to convert the dimensions of the book from centimeters to meters:
Length = 19 cm = 0.19 m
Width = 27 cm = 0.27 m
Next, we calculate the area of the front surface of the book:
Area = Length * Width
Area = 0.19 m * 0.27 m
Now we can substitute the values into the formula to find the force:
Force = Pressure * Area
Force = 100,000 Pa * (0.19 m * 0.27 m)
Calculating the values inside the parentheses:
Force = 100,000 Pa * 0.0513 m²
Finally, we can calculate the force by multiplying the pressure and area:
Force = 5,130 N
Therefore, the air is exerting a force of 5,130 Newtons on the front surface of the book.