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

27 N
27 N

0.3 N
0.3 N

3 N
3 N

1.7 N

Answer 1

To find the force that must be applied to lift the object, we can use the mechanical advantage (MA) formula:

\[ MA = \frac{F_o}{F_i} \]

Where:

• \( F_o \) is the output force (the weight of the object),
• \( F_i \) is the input force (the force that must be applied).

Given:

• Mechanical advantage (MA) = 3,
• Weight of the object \( F_o = 9 \) N.

We can rearrange the formula to solve for \( F_i \):

\[ F_i = \frac{F_o}{MA} \]

Substituting the values into the equation:

\[ F_i = \frac{9 , \text{N}}{3} = 3 , \text{N} \]

Therefore, the force that must be applied to lift the object is:

3 N