To determine the order of students based on the mechanical advantage of their machines, we need to calculate the mechanical advantage for each student’s machine. Mechanical advantage (MA) is defined as the ratio of the output force to the input force. The formula for mechanical advantage is:
[tex]\[
MA = \frac{\text{Output Force}}{\text{Input Force}}
\][/tex]
Let's calculate the mechanical advantage for each student:
1. Brian:
[tex]\[
MA_{\text{Brian}} = \frac{300 \text{ N}}{150 \text{ N}} = 2.0
\][/tex]
2. Lian:
[tex]\[
MA_{\text{Lian}} = \frac{350 \text{ N}}{400 \text{ N}} = 0.875
\][/tex]
3. Dipak:
[tex]\[
MA_{\text{Dipak}} = \frac{450 \text{ N}}{250 \text{ N}} = 1.8
\][/tex]
4. Aida:
[tex]\[
MA_{\text{Aida}} = \frac{375 \text{ N}}{300 \text{ N}} = 1.25
\][/tex]
Next, we will list the students in order from the least mechanical advantage to the greatest mechanical advantage:
- Lian has the least mechanical advantage: [tex]\(0.875\)[/tex]
- Aida has the next least mechanical advantage: [tex]\(1.25\)[/tex]
- Dipak has the next mechanical advantage: [tex]\(1.8\)[/tex]
- Brian has the greatest mechanical advantage: [tex]\(2.0\)[/tex]
Therefore, the correct order is:
Lian, Aida, Dipak, Brian
Hence, the correct answer is:
Lian, Aida, Dipak, Brian
