College

Select the best answer for the question.

1. 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. 0.225 kPa
B. 0.900 kPa
C. 0.300 kPa
D. 0.575 kPa

Answer :

To find the water pressure at the bottom of the container, follow these steps:

1. Understand the formula for pressure:
Pressure is defined as the force applied per unit area. This can be expressed with the formula:
[tex]\[
\text{Pressure} = \frac{\text{Force}}{\text{Area}}
\][/tex]
where the force is measured in newtons and the area in square meters.

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

3. Calculate the pressure in pascals:
Using the formula:
[tex]\[
\text{Pressure} = \frac{450 \, \text{N}}{2 \, \text{m}^2} = 225 \, \text{Pa}
\][/tex]
Here, the pressure is calculated to be 225 pascals.

4. Convert the pressure to kilopascals:
Since 1 kilopascal (kPa) is equal to 1,000 pascals (Pa), we convert the pressure to kilopascals by dividing by 1,000:
[tex]\[
225 \, \text{Pa} = \frac{225}{1000} \, \text{kPa} = 0.225 \, \text{kPa}
\][/tex]

Therefore, the water pressure at the bottom of the container is 0.225 kPa. The correct answer is option A. 0.225 kPa.