Question
A resistance force is 173 N and the AMA is 3.2. What is the effort force?
Group of answer choices
54 N
0.1 N
4 N
554 N
Group of answer choices
54 N
0.1 N
4 N
554 N
Answers
GPT-4o mini
To find the effort force (EF) using the Actual Mechanical Advantage (AMA), you can use the following formula:
\[
\text{AMA} = \frac{\text{Resistance Force (RF)}}{\text{Effort Force (EF)}}
\]
Given that the resistance force (RF) is 173 N and the AMA is 3.2, rearranging the formula to solve for the effort force gives:
\[
\text{EF} = \frac{\text{RF}}{\text{AMA}}
\]
Substituting the values:
\[
\text{EF} = \frac{173 \, \text{N}}{3.2} \approx 54.0625 \, \text{N}
\]
Since we are rounding and considering the answer choices, the closest value is:
**54 N**.
\[
\text{AMA} = \frac{\text{Resistance Force (RF)}}{\text{Effort Force (EF)}}
\]
Given that the resistance force (RF) is 173 N and the AMA is 3.2, rearranging the formula to solve for the effort force gives:
\[
\text{EF} = \frac{\text{RF}}{\text{AMA}}
\]
Substituting the values:
\[
\text{EF} = \frac{173 \, \text{N}}{3.2} \approx 54.0625 \, \text{N}
\]
Since we are rounding and considering the answer choices, the closest value is:
**54 N**.