Certainly! Let's solve the given expression step by step, combining the terms to find the final result.
1. Identify the terms in the expression:
- The first term is [tex]\(80 \, \text{N}\)[/tex].
- The second term is [tex]\(2 \times 0.09 \, \text{kgm}^{-3}\)[/tex].
- The third term is [tex]\(31 \, \text{N}\)[/tex].
2. Calculate the second term:
- Multiply [tex]\(2\)[/tex] by [tex]\(0.09 \, \text{kgm}^{-3}\)[/tex]:
[tex]\[
2 \times 0.09 \, \text{kgm}^{-3} = 0.18 \, \text{kgm}^{-3}
\][/tex]
3. Combine all the terms:
- We now have:
[tex]\[
80 \, \text{N} + 0.18 \, \text{kgm}^{-3} + 31 \, \text{N}
\][/tex]
4. Sum the numeric values:
- First, add the first term and the third term:
[tex]\[
80 \, \text{N} + 31 \, \text{N} = 111 \, \text{N}
\][/tex]
- Now add the second term:
[tex]\[
111 \, \text{N} + 0.18 \, \text{kgm}^{-3} = 111.18
\][/tex]
5. Final result:
The sum of the given expression is:
[tex]\[
111.18
\][/tex]
Therefore,
[tex]\[
80 \, \text{N} + \left(2 \times 0.09 \, \text{kgm}^{-3}\right) + 31 \, \text{N} = 111.18
\][/tex]
