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)
Responses
5,400 N
5,400 N
405 N
405 N
1,616 N
1,616 N
1,350 N
Responses
5,400 N
5,400 N
405 N
405 N
1,616 N
1,616 N
1,350 N
Answers
GPT-4o mini
To find out how much force the mechanic must expend using a compound pulley with a mechanical advantage of 4, we can use the formula:
\[
\text{Force exerted} = \frac{\text{Weight}}{\text{Mechanical Advantage}}
\]
The weight of the go-kart is 1,620 Newtons, and the mechanical advantage of the pulley is 4.
Plugging in the values:
\[
\text{Force exerted} = \frac{1620 \, \text{N}}{4} = 405 \, \text{N}
\]
Thus, the mechanic must exert 405 N of force.
The correct answer is:
**405 N**
\[
\text{Force exerted} = \frac{\text{Weight}}{\text{Mechanical Advantage}}
\]
The weight of the go-kart is 1,620 Newtons, and the mechanical advantage of the pulley is 4.
Plugging in the values:
\[
\text{Force exerted} = \frac{1620 \, \text{N}}{4} = 405 \, \text{N}
\]
Thus, the mechanic must exert 405 N of force.
The correct answer is:
**405 N**