High School

If the total force exerted by water in a container with a bottom area of 2 square meters is 450 N, what is the pressure at the bottom of the container?

A. 0.900 kPa
B. 0.575 kPa
C. 0.300 kPa
D. 0.225 kPa

Answer :

To solve the problem of finding the pressure exerted by the water in the container, we can use the formula for pressure:

[tex]\[ \text{Pressure} = \frac{\text{Force}}{\text{Area}} \][/tex]

Here's a step-by-step breakdown:

1. Identify the given values:
- Total force exerted by the water (Force) = 450 Newtons (N)
- Area of the bottom of the container = 2 square meters (m²)

2. Apply the pressure formula:
- [tex]\[ \text{Pressure} = \frac{450 \, \text{N}}{2 \, \text{m}^2} \][/tex]

3. Calculate the pressure in N/m²:
- [tex]\[ \text{Pressure} = 225 \, \text{N/m}^2 \][/tex]

4. Convert the pressure from N/m² to kilopascals (kPa):
- 1 kPa = 1000 N/m²
- [tex]\[ \text{Pressure in kPa} = \frac{225 \, \text{N/m}^2}{1000} = 0.225 \, \text{kPa} \][/tex]

Therefore, the pressure exerted by the water is 0.225 kPa. This corresponds to option D in the question.