Questions: Select the best answer for the question. 12. 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. 0.300 kPa B. 0575 kPa C. 0.900 kPa D. 0225 kPa

Select the best answer for the question. 12. 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. 0.300 kPa B. 0575 kPa C. 0.900 kPa D. 0225 kPa
Transcript text: Select the best answer for the question. 12. 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. 0.300 kPa B. 0575 kPa C. 0.900 kPa D. 0225 kPa
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Solution

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Solution Steps

Step 1: Identify Given Values

We are given:

  • Total force exerted by water, \( F = 450 \) newtons
  • Bottom area of the container, \( A = 2 \) square meters
Step 2: Use the Formula for Pressure

The formula for pressure is: \[ P = \frac{F}{A} \]

Step 3: Substitute the Given Values

Substitute \( F = 450 \) newtons and \( A = 2 \) square meters into the formula: \[ P = \frac{450 \, \text{N}}{2 \, \text{m}^2} \]

Step 4: Calculate the Pressure

Perform the division: \[ P = 225 \, \text{N/m}^2 \]

Step 5: Convert to kPa

Since \( 1 \, \text{kPa} = 1000 \, \text{N/m}^2 \): \[ P = \frac{225 \, \text{N/m}^2}{1000} = 0.225 \, \text{kPa} \]

Final Answer

The water pressure at the bottom of the container is: \[ \boxed{0.225 \, \text{kPa}} \] The correct answer is D.

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