Question

A student utilized a claw hammer to extract nails from a wooden surface in preparation for painting. Employing the formula for mechanical advantage, what is the effort distance for the claw hammer given a resistance distance of 6.0 cm and a mechanical advantage of 6.0?



(1 point)
Responses

36
36

12
12

1
1

30

Answer 1

To find the effort distance using the formula for mechanical advantage (MA), we can use the relationship:

\[
\text{MA} = \frac{\text{Resistance Distance}}{\text{Effort Distance}}
\]

Rearranging this formula to solve for the effort distance gives us:

\[
\text{Effort Distance} = \frac{\text{Resistance Distance}}{\text{MA}}
\]

Given:
- Resistance Distance = 6.0 cm
- Mechanical Advantage (MA) = 6.0

Now plugging in the values:

\[
\text{Effort Distance} = \frac{6.0 \, \text{cm}}{6.0} = 1.0 \, \text{cm}
\]

Thus, the effort distance for the claw hammer is **1 cm**.

The correct response is:

**1**