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Answer:
[tex]1.0*10^{-5} N[/tex]
Explanation:
To answer this question we can use the formula: [tex]P=\frac{F}{A}[/tex]
Pressure (Pascals) = Force (Newtons) divided by Area (Square Meters)
We are given pressure and area in the question and are trying to find force so we can rearrange the equation to suit our needs by multiplying both sides by Area:
[tex]P(A) = \frac{F}{A} (A)\\ \\F =PA[/tex]
The next step is to ensure all given information is in the correct units. Because we are given pressure in the units [tex]N/m^{2}[/tex], we need to convert 0.0025[tex]cm^{2}[/tex] into [tex]m^{2}[/tex].
There are 10,000 [tex]cm^{2}[/tex] in 1 [tex]m^{2}[/tex], therefore to convert between them, we need to divide 0.0025 by 10,000.
[tex]0.0025/10000 = 0.00000025m^{2}[/tex]
OR [tex]2.5*10^{-7} m^{2}[/tex]
Now we just need to multiply them together to get force:
[tex]F=PA\\F=40*2.5*10^{-7}\\F=1.0*10^{-5} N[/tex]
Hope this helped!