Question

Luisa used a claw hammer to remove nails from a piece of wood she wants to paint. What is the effort distance for a claw hammer if the resistance distance is 6.0 cm and the mechanical advantage is 6.0?
*
1 point
36
30
27
24
Pick one

Answer 1

To find the effort distance for a claw hammer, you can use the formula for mechanical advantage (MA):

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

We can rearrange this formula to solve for the effort distance:

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

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

Now substituting the values:

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

However, to find the total distance moved by the effort in a context like a claw hammer, we should multiply the effort distance by the mechanical advantage:

\[
\text{Total Effort Distance} = \text{Effort Distance} \times MA
\]

If the effort distance we calculated is accurate (1.0 cm), then to find what the total effort distance corresponds to with respect to the resistance, we can fix it:

In ideal scenarios:

\[
\text{Total Effort Distance} = \text{Resistance Distance} \times MA
\]

\[
\text{Total Effort Distance} = 6.0 \text{ cm} \times 6.0 = 36 \text{ cm}
\]

Thus, the effort distance for the claw hammer, when taking into account the details provided, is **36 cm**.