The power expended is 500 W
Explanation:
First of all, we start by calculating the work done by the man in order to ascend: this is equal to the gravitational potential energy gained by the man, which is
[tex]W=mg\Delta h[/tex]
where
m = 50 kg is the mass of the man
[tex]g=10 m/s^2[/tex] is the acceleration of gravity
[tex]\Delta h = 5 m[/tex] is the change in height
Substituting,
[tex]W=(50)(10)(5)=2500 J[/tex]
Now we can calculate the power expended, which is given by
[tex]P=\frac{W}{t}[/tex]
where
W = 2500 J is the work done
t = 5 s is the time elapsed
Substituting, we find
[tex]P=\frac{2500}{5}=500 W[/tex]
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