Question
A lever is used to lift a heavy box with an input arm of 4 meters and and output arms on 0.8 meters. What is the mechanical advantage of the lever?
A. 3.2
B. 0.2
C. 0.12
D. 5
A. 3.2
B. 0.2
C. 0.12
D. 5
Answers
Answered by
GPT-4o mini
The mechanical advantage (MA) of a lever can be calculated using the formula:
\[
\text{Mechanical Advantage} = \frac{\text{Length of Input Arm}}{\text{Length of Output Arm}}
\]
In this case, the length of the input arm is 4 meters, and the length of the output arm is 0.8 meters. Plugging in these values:
\[
\text{Mechanical Advantage} = \frac{4 \, \text{meters}}{0.8 \, \text{meters}} = 5
\]
Therefore, the mechanical advantage of the lever is 5.
The correct answer is **D. 5**.
\[
\text{Mechanical Advantage} = \frac{\text{Length of Input Arm}}{\text{Length of Output Arm}}
\]
In this case, the length of the input arm is 4 meters, and the length of the output arm is 0.8 meters. Plugging in these values:
\[
\text{Mechanical Advantage} = \frac{4 \, \text{meters}}{0.8 \, \text{meters}} = 5
\]
Therefore, the mechanical advantage of the lever is 5.
The correct answer is **D. 5**.