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?

A.
24

B.
27

C.
30

D.
36

Answer 1

To find the effort distance for a claw hammer, we can use the relationship between mechanical advantage (MA), effort distance (ED), and resistance distance (RD). The formula is:

\[
MA = \frac{RD}{ED}
\]

From this, we can rearrange the equation to solve for effort distance:

\[
ED = \frac{RD}{MA}
\]

Given that the resistance distance (RD) is 6.0 cm and the mechanical advantage (MA) is 6.0:

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

Now we can calculate the effort distance with the mechanical advantage. We substitute MA = 6.0 again, since:

\[
MA = \frac{RD}{ED} \Rightarrow ED = RD \times MA
\]

So we can express:

\[
ED = 6.0 \, \text{cm} \times 6.0
\]
\[
ED = 36.0 \, \text{cm}
\]

Thus, the effort distance is 36 cm. Therefore, the correct answer is:

**D. 36**