To calculate the pressure in pascal exerted by a force of 300 N acting normally on an area of 30 cm², we need to follow these steps:
1. Convert the area from square centimeters to square meters:
- The area given is 30 cm².
- We know that [tex]\(1 \text{ cm}^2 = 1 \times 10^{-4} \text{ m}^2\)[/tex].
- So, we need to convert 30 cm² to m²:
[tex]\[
30 \text{ cm}^2 = 30 \times 10^{-4} \text{ m}^2 = 0.003 \text{ m}^2
\][/tex]
2. Calculate the pressure using the formula:
- The formula for pressure [tex]\(P\)[/tex] is given by [tex]\(P = \frac{F}{A}\)[/tex], where [tex]\(F\)[/tex] is the force and [tex]\(A\)[/tex] is the area.
- In this problem, [tex]\(F = 300 \text{ N}\)[/tex] and [tex]\(A = 0.003 \text{ m}^2\)[/tex].
- Substitute the values into the formula:
[tex]\[
P = \frac{300 \text{ N}}{0.003 \text{ m}^2}
\][/tex]
3. Perform the division:
- Divide the force by the area:
[tex]\[
P = \frac{300}{0.003} = 100000 \text{ Pa}
\][/tex]
Therefore, the pressure exerted by a force of 300 N acting normally on an area of 30 cm² is 100000 Pa.
