The mechanical advantage of the pulley is 3.56
Explanation:
The Mechanical Advantage (MA) of a pulley system is given by
[tex]MA=\frac{Load}{Effort}[/tex]
where
Load is the weight of the object lifted
Effort is the force applied in input
For the pulley in this problem, we have:
Effort = 55 N
While the load is the weight of the box of mass m = 20.0 kg:
[tex]Load = mg = (20.0 kg)(9.8 m/s^2)=196 N[/tex]
Substittuing, we find the MA of the pulley:
[tex]MA=\frac{196}{55}=3.56[/tex]
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