Question

1 the mechanical advantage of a machine is 3. if the output force is 9n, what is the input force? a 3n b 27n c 6n d 9n

Explanation:

Step1: Recall the formula for mechanical advantage

The formula for mechanical advantage (MA) is \( MA = \frac{F_{output}}{F_{input}} \), where \( F_{output} \) is the output force and \( F_{input} \) is the input force.

Step2: Rearrange the formula to solve for \( F_{input} \)

From \( MA = \frac{F_{output}}{F_{input}} \), we can rearrange it to \( F_{input} = \frac{F_{output}}{MA} \).

Step3: Substitute the given values

We know that \( MA = 3 \) and \( F_{output} = 9N \). Substituting these values into the formula, we get \( F_{input} = \frac{9N}{3} \).

Step4: Calculate the input force

\( \frac{9N}{3} = 3N \).

Answer:

A. 3N