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Answer :
To solve this problem, we need to determine the water pressure at the bottom of the container. Here's how we can do it step by step:
1. Understand the formula for pressure:
- Pressure is defined as the force applied per unit area. The formula for calculating pressure is:
[tex]\[
\text{Pressure} = \frac{\text{Force}}{\text{Area}}
\][/tex]
- Force is measured in newtons (N) and area in square meters (m²), leading to pressure being expressed in pascals (Pa).
2. Identify the given values:
- 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:
- Use the formula from step 1:
[tex]\[
\text{Pressure} = \frac{450 \, \text{N}}{2 \, \text{m}^2} = 225 \, \text{Pa}
\][/tex]
4. Convert pascals to kilopascals:
- Since 1 kilopascal (kPa) is equal to 1000 pascals (Pa), we convert the result:
[tex]\[
\text{Pressure in kilopascals} = \frac{225 \, \text{Pa}}{1000} = 0.225 \, \text{kPa}
\][/tex]
Therefore, the water pressure at the bottom of the container is 0.225 kPa.
The correct answer is C. 0.225 kPa.
1. Understand the formula for pressure:
- Pressure is defined as the force applied per unit area. The formula for calculating pressure is:
[tex]\[
\text{Pressure} = \frac{\text{Force}}{\text{Area}}
\][/tex]
- Force is measured in newtons (N) and area in square meters (m²), leading to pressure being expressed in pascals (Pa).
2. Identify the given values:
- 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:
- Use the formula from step 1:
[tex]\[
\text{Pressure} = \frac{450 \, \text{N}}{2 \, \text{m}^2} = 225 \, \text{Pa}
\][/tex]
4. Convert pascals to kilopascals:
- Since 1 kilopascal (kPa) is equal to 1000 pascals (Pa), we convert the result:
[tex]\[
\text{Pressure in kilopascals} = \frac{225 \, \text{Pa}}{1000} = 0.225 \, \text{kPa}
\][/tex]
Therefore, the water pressure at the bottom of the container is 0.225 kPa.
The correct answer is C. 0.225 kPa.
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