A pulley system has a mechanical advantage of 3, and an object weighing 9 Newtons must be lifted 15 meters. How much force must be applied to lift the object?

Question

Use the following equation to find the answer:

MA=Fo/Fi

(1 point)
Responses

1.7 N
1.7 N

0.3 N
0.3 N

27 N
27 N

3 N

Answer 1

To find the force needed to lift the object, we can use the equation for mechanical advantage (MA):

$$MA=\frac{F_o}{F_i}$$

Where:

• $MA$ = mechanical advantage (3 in this case)
• $F_o$ = the output force (the weight of the object, which is 9 N)
• $F_i$ = the input force (the force we need to find)

Rearranging the formula to solve for $F_i$:

$$F_i=\frac{F_o}{MA}$$

Substituting the known values:

$$F_i=\frac{9,\text{N}}{3}$$

$$F_i=3,\text{N}$$

So, the force that must be applied to lift the object is 3 N.