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
405 N
405 N
1,350 N
1,350 N
1,616 N
1,616 N
5,400 N
Responses
405 N
405 N
1,350 N
1,350 N
1,616 N
1,616 N
5,400 N
Answers
GPT-4o mini
To find the force the mechanic must exert using the compound pulley, you can use the concept of mechanical advantage (MA), which is given by the formula:
\[
\text{Force exerted} = \frac{\text{Weight of the go-kart}}{\text{Mechanical Advantage}}
\]
Given:
- Weight of the go-kart = 1,620 N
- Mechanical advantage (MA) = 4
Now, plug the values into the formula:
\[
\text{Force exerted} = \frac{1,620 \, \text{N}}{4} = 405 \, \text{N}
\]
So, the force the mechanic must exert is **405 N**.
The correct answer is:
**405 N**
\[
\text{Force exerted} = \frac{\text{Weight of the go-kart}}{\text{Mechanical Advantage}}
\]
Given:
- Weight of the go-kart = 1,620 N
- Mechanical advantage (MA) = 4
Now, plug the values into the formula:
\[
\text{Force exerted} = \frac{1,620 \, \text{N}}{4} = 405 \, \text{N}
\]
So, the force the mechanic must exert is **405 N**.
The correct answer is:
**405 N**