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. 0.900 kPa
C. 0.300 kPa
D. 0.225 kPa

Answer :

To find the water pressure at the bottom of the container, we need to use the formula for pressure:

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

Here are the details step-by-step:

1. Identify the Given Values:
- The force exerted by the water is 450 newtons.
- The bottom area of the container is 2 square meters.

2. Calculate the Pressure:
- Using the formula, plug in the values:
[tex]\[
\text{Pressure} = \frac{450 \, \text{newtons}}{2 \, \text{m}^2} = 225 \, \text{Pa}
\][/tex]

Here, the pressure is calculated in pascals (Pa).

3. Convert Pressure to Kilopascals:
- Since 1 kilopascal (kPa) equals 1000 pascals (Pa), convert the pressure:
[tex]\[
\text{Pressure in kPa} = \frac{225 \, \text{Pa}}{1000} = 0.225 \, \text{kPa}
\][/tex]

Therefore, the water pressure at the bottom of the container is 0.225 kilopascals. The best answer choice from the given options is:

D. 0.225 kPa.