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Wapi collected data about four machines and listed it in the table below.

\begin{tabular}{|l|l|l|}
\hline
Machine & \multicolumn{1}{|c|}{\begin{tabular}{c}
Mechanical \\
advantage
\end{tabular}} & Input force (N) \\
\hline
A & 5.5 & 300 \\
\hline
B & 2.8 & 350 \\
\hline
C & 4.0 & 400 \\
\hline
D & 2.0 & 375 \\
\hline
\end{tabular}

Which machine has the greatest output force?

A. A
B. B
C. C
D. D



Answer :

GinnyAnswer
To determine which machine has the greatest output force, let's calculate the output force for each machine. The output force (F_out) for a machine can be calculated using the formula:

[tex]\[ \text{Output Force} = \text{Mechanical Advantage} \times \text{Input Force} \][/tex]

Let's proceed with the calculations for each machine step by step:

1. Machine A:
[tex]\[ \text{Mechanical Advantage} = 5.5 \][/tex]
[tex]\[ \text{Input Force} = 300 \, \text{N} \][/tex]
[tex]\[ \text{Output Force} = 5.5 \times 300 = 1650.0 \, \text{N} \][/tex]

2. Machine B:
[tex]\[ \text{Mechanical Advantage} = 2.8 \][/tex]
[tex]\[ \text{Input Force} = 350 \, \text{N} \][/tex]
[tex]\[ \text{Output Force} = 2.8 \times 350 = 980.0 \, \text{N} \][/tex]

3. Machine C:
[tex]\[ \text{Mechanical Advantage} = 4.0 \][/tex]
[tex]\[ \text{Input Force} = 400 \, \text{N} \][/tex]
[tex]\[ \text{Output Force} = 4.0 \times 400 = 1600.0 \, \text{N} \][/tex]

4. Machine D:
[tex]\[ \text{Mechanical Advantage} = 2.0 \][/tex]
[tex]\[ \text{Input Force} = 375 \, \text{N} \][/tex]
[tex]\[ \text{Output Force} = 2.0 \times 375 = 750.0 \, \text{N} \][/tex]

Now, we compare the calculated output forces:
- Machine A: 1650.0 N
- Machine B: 980.0 N
- Machine C: 1600.0 N
- Machine D: 750.0 N

Clearly, the highest output force among these machines is 1650.0 N for Machine A.

So, the answer is:
A

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