Question
A mechanic wants to use a compound pulley to lift a go-kart from the ground to work table, a distance of 1.2 meters. Without the pulley, 1,620 Newtons of force would be needed to lift the go-kart. If the pulley has a mechanical advantage of 4, how much force must the mechanic expend?
A. 1,350 N
B. 405 N
C. 1616 N
D. 5,400 N
A. 1,350 N
B. 405 N
C. 1616 N
D. 5,400 N
Answers
GPT-4o mini
To determine the force that the mechanic must exert when using a compound pulley with a mechanical advantage of 4, we can use the formula:
\[
\text{Force exerted} = \frac{\text{Weight}}{\text{Mechanical Advantage}}
\]
In this case, the weight of the go-kart is 1,620 N and the mechanical advantage (MA) of the pulley is 4. Plugging in the values:
\[
\text{Force exerted} = \frac{1620 \, \text{N}}{4} = 405 \, \text{N}
\]
Therefore, the force that the mechanic must expend is **405 N**.
So the correct answer is **B. 405 N**.
\[
\text{Force exerted} = \frac{\text{Weight}}{\text{Mechanical Advantage}}
\]
In this case, the weight of the go-kart is 1,620 N and the mechanical advantage (MA) of the pulley is 4. Plugging in the values:
\[
\text{Force exerted} = \frac{1620 \, \text{N}}{4} = 405 \, \text{N}
\]
Therefore, the force that the mechanic must expend is **405 N**.
So the correct answer is **B. 405 N**.