College

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

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

Answer :

To find the water pressure at the bottom of the container, you can use the formula:

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

Let's break it down:

1. Identify the given values:
- Total force exerted by the water: 450 newtons
- Area of the bottom of the container: 2 square meters

2. Use the formula:
- Plug these values into the pressure formula:

[tex]\[
\text{Pressure} = \frac{450 \, \text{newtons}}{2 \, \text{m}^2}
\][/tex]

3. Calculate the pressure:
- Divide the force by the area:

[tex]\[
\text{Pressure} = 225 \, \text{N/m}^2
\][/tex]

Pressure in newtons per square meter (N/m²) is the same as pascals (Pa). To convert this to kilopascals (kPa), which is commonly used for convenience, remember that:

1 kPa = 1,000 Pa

So, convert the pressure from pascals to kilopascals:

[tex]\[
225 \, \text{Pa} = 0.225 \, \text{kPa}
\][/tex]

Therefore, the water pressure at the bottom of the container is 0.225 kPa.

The best answer is: C. 0.225 kPa.