Answer :
Answer:
18.4 m
Explanation:
The force that the engine must apply at least to lift the man must be equal to the weight of the man:
[tex]F=mg=(100 kg)(9.8 m/s^2)=980 N[/tex]
The work done by the engine is the product of the force applied, F, and the height at which the man is lifted, h:
[tex]W=Fh[/tex] (1)
while the power of the engine is defined as:
[tex]P=\frac{W}{t}[/tex]
where
P = 100 W
t = 3.00 min = 180 s
From this equation, we find the work:
[tex]W=Pt=(100 W)(180 s)=18,000 J[/tex]
And solving (1) for h, we find the maximum height:
[tex]h=\frac{W}{F}=\frac{18,000 J}{980 N}=18.4 m[/tex]