Question

a machine has a mechanical advantage of 5. what force should be applied to the machine to make it apply 3000 n to an object?
0.002 n
600 n
3000 n
15,000 n

Explanation:

Step1: Recall mechanical - advantage formula

Mechanical Advantage (MA) = $\frac{Output\ Force}{Input\ Force}$, or $MA=\frac{F_{out}}{F_{in}}$.

Step2: Rearrange formula to find input force

We know $MA = 5$ and $F_{out}=3000\ N$. Rearranging for $F_{in}$ gives $F_{in}=\frac{F_{out}}{MA}$.

Step3: Substitute values

$F_{in}=\frac{3000\ N}{5}=600\ N$.

Answer:

B. 600 N