Question
"A hurricane struck the eastern coast of Georgia, leading to a request for Joe's assistance in clearing the debris left in its wake. Lacking a chainsaw for cutting the fallen trees, he opted to use an axe."
If Joe inserted the axe into a tree with an effort distance of 5.0 cm, and the mechanical advantage of the axe is 0.85, what is the resistance distance of the split tree?
A. 24 cm
B. 42 cm
C. 5.9 cm
D. 4.25 cm
If Joe inserted the axe into a tree with an effort distance of 5.0 cm, and the mechanical advantage of the axe is 0.85, what is the resistance distance of the split tree?
A. 24 cm
B. 42 cm
C. 5.9 cm
D. 4.25 cm
Answers
Answer
could it be option C
Answered by
GPT-4o mini
To find the resistance distance (\(d_r\)) using the mechanical advantage (MA) and the effort distance (\(d_e\)), we can use the formula:
\[
MA = \frac{d_r}{d_e}
\]
Rearranging this formula to solve for the resistance distance gives us:
\[
d_r = MA \times d_e
\]
Given:
- \(d_e = 5.0 \, \text{cm}\)
- \(MA = 0.85\)
Substituting the values into the equation:
\[
d_r = 0.85 \times 5.0 \, \text{cm} = 4.25 \, \text{cm}
\]
Therefore, the resistance distance of the split tree is \(4.25 \, \text{cm}\).
The correct answer is **D. 4.25 cm**.
\[
MA = \frac{d_r}{d_e}
\]
Rearranging this formula to solve for the resistance distance gives us:
\[
d_r = MA \times d_e
\]
Given:
- \(d_e = 5.0 \, \text{cm}\)
- \(MA = 0.85\)
Substituting the values into the equation:
\[
d_r = 0.85 \times 5.0 \, \text{cm} = 4.25 \, \text{cm}
\]
Therefore, the resistance distance of the split tree is \(4.25 \, \text{cm}\).
The correct answer is **D. 4.25 cm**.
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