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.