A worker uses a pulley system to raise a 550 N carton 8.25 m. A force of 150 N is exerted and the rope is pulled 25 m. What is the AMA of the system?

Answer 1

To find the Actual Mechanical Advantage (AMA) of the pulley system, we can use the formula:

\[ \text{AMA} = \frac{\text{Resistance Force}}{\text{Effort Force}} \]

In this case:

• The resistance force (the weight of the carton) is 550 N.
• The effort force (the force exerted by the worker) is 150 N.

Now substituting the values into the formula:

\[ \text{AMA} = \frac{550 , \text{N}}{150 , \text{N}} = \frac{550}{150} \approx 3.67 \]

Therefore, the Actual Mechanical Advantage (AMA) of the pulley system is approximately 3.67.