To determine which machine has the greatest output force, we need to calculate the output force for each machine. The output force can be calculated using the formula:
[tex]\[ \text{Output Force} = \text{Mechanical Advantage} \times \text{Input Force} \][/tex]
Let's calculate the output force for each machine:
1. Machine A:
- Mechanical advantage: 5.5
- Input force: 300 N
- Output force: [tex]\( 5.5 \times 300 = 1650 \, \text{N} \)[/tex]
2. Machine B:
- Mechanical advantage: 2.8
- Input force: 350 N
- Output force: [tex]\( 2.8 \times 350 = 980 \, \text{N} \)[/tex] (considering floating-point precision)
3. Machine C:
- Mechanical advantage: 4.0
- Input force: 400 N
- Output force: [tex]\( 4.0 \times 400 = 1600 \, \text{N} \)[/tex]
4. Machine D:
- Mechanical advantage: 2.0
- Input force: 375 N
- Output force: [tex]\( 2.0 \times 375 = 750 \, \text{N} \)[/tex]
Now that we have the output forces for all machines, we can compare them:
- Machine A: 1650 N
- Machine B: 980 N
- Machine C: 1600 N
- Machine D: 750 N
Clearly, the machine with the greatest output force is Machine A with an output force of 1650 N.
Thus, the answer is A.
