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?
A. 16
B. 40
C. 64
D. 1
A. 16
B. 40
C. 64
D. 1
Answers
GPT-4o mini
To find the effort distance when using a claw hammer, we can use the relationship between the mechanical advantage (MA), the resistance distance (RD), and the effort distance (ED). The formula for mechanical advantage is:
\[ \text{MA} = \frac{\text{Resistance Distance (RD)}}{\text{Effort Distance (ED)}} \]
In this case, we know:
- Resistance Distance (RD) = 8.0 cm
- Mechanical Advantage (MA) = 8.0
We can rearrange the formula to find the Effort Distance (ED):
\[ \text{ED} = \frac{\text{RD}}{\text{MA}} \]
Now, plug in the values:
\[ \text{ED} = \frac{8.0 \, \text{cm}}{8.0} = 1.0 \, \text{cm} \]
So, the effort distance for the claw hammer is:
**D. 1**
\[ \text{MA} = \frac{\text{Resistance Distance (RD)}}{\text{Effort Distance (ED)}} \]
In this case, we know:
- Resistance Distance (RD) = 8.0 cm
- Mechanical Advantage (MA) = 8.0
We can rearrange the formula to find the Effort Distance (ED):
\[ \text{ED} = \frac{\text{RD}}{\text{MA}} \]
Now, plug in the values:
\[ \text{ED} = \frac{8.0 \, \text{cm}}{8.0} = 1.0 \, \text{cm} \]
So, the effort distance for the claw hammer is:
**D. 1**
can it be 64?