To solve for the force exerted given the pressure and area, we can use the fundamental formula that relates pressure, force, and area:
[tex]\[ \text{Pressure} = \frac{\text{Force}}{\text{Area}} \][/tex]
We can rearrange this formula to solve for Force:
[tex]\[ \text{Force} = \text{Pressure} \times \text{Area} \][/tex]
Now, let's apply the given values to this formula:
1. The pressure (P) is 300 Pascals (Pa).
2. The area (A) is 0.5 square meters (m²).
Plugging these values into our formula:
[tex]\[ \text{Force} = 300 \, \text{Pa} \times 0.5 \, \text{m}^2 \][/tex]
Perform the multiplication:
[tex]\[ \text{Force} = 300 \times 0.5 \][/tex]
[tex]\[ \text{Force} = 150 \, \text{Newtons} \][/tex]
So, the force exerted is:
[tex]\[ \boxed{150 \, \text{Newtons}} \][/tex]
