Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Ask your questions and receive precise answers from experienced professionals across different disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
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
[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
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.