Alright, let's address the problem step by step.
First, let's write down the given values:
- The numerator is \( 123.48 \) Newtons (N), which represents the force.
- The denominator is \( 0.014 \) square meters (\( m^2 \)), which represents the area.
We are tasked with finding the result of the division of these two values:
[tex]\[ \frac{123.48 \text{ N}}{0.014 \text{ m}^2} \][/tex]
1. Division:
- To find the result of the division, we divide the force by the area.
[tex]\[ \frac{123.48 \text{ N}}{0.014 \text{ m}^2} = 8820 \text{ N/m}^2 \][/tex]
So, the result of this division is \( 8820 \text{ N/m}^2 \).
2. Comparison with the Given Value:
- We need to check if the calculated result (\( 8820 \text{ N/m}^2 \)) is equal to the given value, which is \( 8 \text{ N/m}^2 \).
[tex]\[ 8820 \neq 8 \][/tex]
Thus, the comparison shows that \( 8820 \text{ N/m}^2 \) is not equal to \( 8 \text{ N/m}^2 \).
3. Conclusion:
- After performing the division, we obtained \( 8820 \text{ N/m}^2 \), which indicates that the force per unit area is \( 8820 \text{ N/m}^2 \).
- The given value of \( 8 \text{ N/m}^2 \) does not match our calculated result.
Therefore, the detailed result given the original problem statement is that the solution does not equal \( 8 \text{ N/m}^2 \); it actually equals \( 8820 \text{ N/m}^2 \).
In summary, the step-by-step breakdown is:
[tex]\[ \frac{123.48 \text{ N}}{0.014 \text{ m}^2} = 8820 \text{ N/m}^2 \][/tex]
[tex]\[ 8820 \neq 8 \][/tex]
So, the answer does not match the given value of [tex]\( 8 \)[/tex].
