To find the force exerted by the boy on the surface, we need to use the relationship between pressure, force, and area, given by the formula:
[tex]\[ \text{Force} = \text{Pressure} \times \text{Area} \][/tex]
Given:
- Pressure ([tex]\(P\)[/tex]) = 40 Pascal (Pa)
- Area ([tex]\(A\)[/tex]) = 3 square centimeters (cm²)
First, we need to convert the area from square centimeters to square meters. Since 1 square centimeter is equivalent to 0.0001 square meters, we can convert as follows:
[tex]\[ \text{Area} = 3 \, \text{cm}^2 \times 0.0001 \, \frac{\text{m}^2}{\text{cm}^2} = 0.0003 \, \text{m}^2 \][/tex]
Next, we use the formula mentioned above to find the force:
[tex]\[ \text{Force} = 40 \, \text{Pa} \times 0.0003 \, \text{m}^2 = 0.012 \, \text{N} \][/tex]
Therefore, the force that will act on the surface is 0.012 Newtons.
