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? (1 point)
○ 1,616 n
○ 5,400 n
○ 405 n
○ 1,350 n

Explanation:

Step1: Recall Mechanical Advantage Formula

Mechanical Advantage (MA) is given by \( MA=\frac{F_{load}}{F_{effort}} \), where \( F_{load} \) is the load force and \( F_{effort} \) is the effort force.

Step2: Rearrange Formula for Effort Force

We need to find \( F_{effort} \), so rearrange the formula: \( F_{effort}=\frac{F_{load}}{MA} \).

Step3: Substitute Values

Given \( F_{load} = 1620\space N \) and \( MA = 4 \), substitute into the formula: \( F_{effort}=\frac{1620}{4} = 405\space N \).

Answer:

405 N (corresponding to the option "405 N")