The efficiency of a squeaky pulley system is 73 percent. The pulleys are used to raise a mass to a certain height. What force is exerted on the machine if a rope is pulled 18.0 m in order to raise a 58 kg mass a height of 3.0 m

Respuesta :

Answer:

129.9 m

Explanation:

Efficiency is the ratio of work output to work input, expressed as a percentage.

[tex]Efficiency= \frac {W_{out}}{W_{in}}[/tex]

We know that work= mgh hence to get the work input

[tex]W_{in}= \frac {58\times 9.81\times 3}{0.73}=2338.273973 J[/tex]

Work done by applied force=Fd

Fd=2338.273973 J

we have d as 18 m hence [tex]F=\frac {2338.273973 J}{18}=129.9041096 m\approx 129.9 m[/tex]