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?
Mechanical Advantage = effort distance / resistance distance
A. 36
B. 12
C. 30
D. 1
Mechanical Advantage = effort distance / resistance distance
A. 36
B. 12
C. 30
D. 1
Answers
GPT-4o mini
To find the effort distance for the claw hammer, we can rearrange the formula for mechanical advantage (MA):
\[ \text{MA} = \frac{\text{effort distance}}{\text{resistance distance}} \]
Given that the mechanical advantage (MA) is 6.0 and the resistance distance is 6.0 cm, we can set up the equation:
\[ 6.0 = \frac{\text{effort distance}}{6.0} \]
Now, we can solve for the effort distance:
\[ \text{effort distance} = MA \times \text{resistance distance} \]
Substituting in the values:
\[ \text{effort distance} = 6.0 \times 6.0 \]
\[ \text{effort distance} = 36.0 \, \text{cm} \]
Thus, the effort distance for the claw hammer is **36.0 cm**.
The correct answer is **A. 36**.
\[ \text{MA} = \frac{\text{effort distance}}{\text{resistance distance}} \]
Given that the mechanical advantage (MA) is 6.0 and the resistance distance is 6.0 cm, we can set up the equation:
\[ 6.0 = \frac{\text{effort distance}}{6.0} \]
Now, we can solve for the effort distance:
\[ \text{effort distance} = MA \times \text{resistance distance} \]
Substituting in the values:
\[ \text{effort distance} = 6.0 \times 6.0 \]
\[ \text{effort distance} = 36.0 \, \text{cm} \]
Thus, the effort distance for the claw hammer is **36.0 cm**.
The correct answer is **A. 36**.