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)

Question

Responses

1,350 N
1,350 N

5,400 N
5,400 N

1,616 N
1,616 N

405 N

Answer 1

To find the force the mechanic must exert using the compound pulley, we can use the concept of mechanical advantage (MA). The formula to calculate the force required when using a pulley with a known mechanical advantage is:

$$\text{Force Exerted}=\frac{\text{Weight}}{\text{Mechanical Advantage}}$$

In this case:

• The weight of the go-kart is 1,620 Newtons.
• The mechanical advantage of the pulley is 4.

Plugging in the values:

$$\text{Force Exerted}=\frac{1,620\text{ N}}{4}$$

Calculating that gives:

$$\text{Force Exerted}=405\text{ N}$$

Therefore, the mechanic must exert 405 N.

The correct response is: 405 N