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------------------------------------------------ If a 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. 0.225 kPa
B. 0.900 kPa
C. 0.575 kPa
D. 0.300 kPa

Answer :

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

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

1. Identify the given values:
- Total force exerted by the water ([tex]\( F \)[/tex]) = 450 newtons
- Area of the bottom of the container ([tex]\( A \)[/tex]) = 2 square meters

2. Substitute the given values into the pressure formula:

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

3. Calculate the pressure:

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

Note that pressure in N/m² is also called Pascals (Pa).

4. Convert Pascals to kilopascals (kPa):

Since 1 kPa = 1000 Pa, divide the pressure in Pascals by 1000 to convert it to kPa:

[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 kPa. So, the correct answer is:

A. 0.225 kPa