Sure! Let's go through the steps to calculate the pressure exerted on the floor by a boy standing on both feet.
1. Determine the Weight in Newtons:
- Weight of the boy = 40 kg
- Given that 1 kg of weight equals 10 Newtons (N), we convert the weight from kilograms to Newtons:
[tex]\[
\text{Weight in Newtons (N)} = 40 \, \text{kg} \times 10 \, \frac{\text{N}}{\text{kg}} = 400 \, \text{N}
\][/tex]
2. Calculate the Area of Contact of One Shoe:
- Dimensions of one shoe = 6 cm by 25 cm
- Area of one shoe in cm²:
[tex]\[
\text{Area per shoe} = 6 \, \text{cm} \times 25 \, \text{cm} = 150 \, \text{cm}^2
\][/tex]
3. Calculate the Total Area of Contact for Both Shoes:
- Since the boy is standing on both feet, we multiply by 2:
[tex]\[
\text{Total area in cm²} = 2 \times 150 \, \text{cm}^2 = 300 \, \text{cm}^2
\][/tex]
4. Convert the Total Area of Contact from cm² to m²:
- Knowing that [tex]\(1 \, \text{m}^2 = 10,000 \, \text{cm}^2\)[/tex], we convert the area:
[tex]\[
\text{Total area in m²} = \frac{300 \, \text{cm}^2}{10,000 \, \text{cm}^2/\text{m}^2} = 0.03 \, \text{m}^2
\][/tex]
5. Calculate the Pressure (P = Force/Area):
- Pressure is defined as the force applied per unit area. Using the weight in Newtons (force) and the total area in square meters (area):
[tex]\[
\text{Pressure} = \frac{400 \, \text{N}}{0.03 \, \text{m}^2} = 13,333.33 \, \text{N/m}^2
\][/tex]
Therefore, the pressure exerted on the floor by the boy standing on both feet is approximately [tex]\( 13,333.33 \, \text{N/m}^2 \)[/tex].
