Question

a worker uses a pulley system to raise a 225 n carton 16.5 m. a force of 129 n is exerted and the rope is pulled 33.0 m. what is the ama of the system?
a 2.67
b 3.9
c 0.5
d 1.74

Explanation:

Step1: Recall AMA formula

AMA (Actual Mechanical Advantage) is calculated as $\text{AMA} = \frac{F_{resistance}}{F_{effort}}$, where $F_{resistance}$ is the resistance force (weight of the carton) and $F_{effort}$ is the effort force.

Step2: Identify values

Here, $F_{resistance} = 225\ N$ (weight of the carton) and $F_{effort} = 129\ N$ (force exerted).

Step3: Calculate AMA

Substitute the values into the formula: $\text{AMA} = \frac{225}{129} \approx 1.74$.

Answer:

d. 1.74