Question
A student employed a claw hammer to extract nails from a piece of wood in preparation for painting. Given a resistance distance of 8.0 cm and a mechanical advantage of 8.0, what is the effort distance for the claw hammer?(1 point)
Responses
40
40
64
64
1
1
16
Responses
40
40
64
64
1
1
16
Answers
GPT-4o mini
To find the effort distance when using a claw hammer, we can use the concept of mechanical advantage (MA). The mechanical advantage is given by the formula:
\[
\text{MA} = \frac{\text{Resistance Distance}}{\text{Effort Distance}}
\]
Given:
- Resistance Distance (R) = 8.0 cm
- Mechanical Advantage (MA) = 8.0
We can rearrange the formula to solve for the effort distance (E):
\[
E = \frac{R}{\text{MA}}
\]
Substituting the known values:
\[
E = \frac{8.0 \, \text{cm}}{8.0} = 1.0 \, \text{cm}
\]
Thus, the effort distance for the claw hammer is **1 cm**.
The correct response is **1**.
\[
\text{MA} = \frac{\text{Resistance Distance}}{\text{Effort Distance}}
\]
Given:
- Resistance Distance (R) = 8.0 cm
- Mechanical Advantage (MA) = 8.0
We can rearrange the formula to solve for the effort distance (E):
\[
E = \frac{R}{\text{MA}}
\]
Substituting the known values:
\[
E = \frac{8.0 \, \text{cm}}{8.0} = 1.0 \, \text{cm}
\]
Thus, the effort distance for the claw hammer is **1 cm**.
The correct response is **1**.