College

Select the best answer for the question:

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

A. 0.575 kPa
B. 0.300 kPa
C. 0.900 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]

Step 1: Identify the given values

- The total force exerted by the water is 450 newtons.
- The bottom area of the container is 2 square meters.

Step 2: Apply the formula

Using the pressure formula:

[tex]\[ \text{Pressure} = \frac{450 \, \text{newtons}}{2 \, \text{square meters}} = 225 \, \text{Pascals} \][/tex]

Step 3: Convert the pressure to kilopascals

Since 1 kilopascal (kPa) is equal to 1000 Pascals (Pa), we convert the pressure from Pascals to kilopascals:

[tex]\[ 225 \, \text{Pascals} \times 0.001 = 0.225 \, \text{kPa} \][/tex]

Conclusion:

The water pressure at the bottom of the container is [tex]\( 0.225 \, \text{kPa} \)[/tex].

Therefore, the correct answer is:

D. 0.225 kPa