The power developed is 1150 W (1.15 kW)
Explanation:
First of all, we calculate the work done in lifting the box, which is equal to the gravitational potential energy gained by the box:
[tex]W=Fh[/tex]
where
F = 575 N is the weight of the box
h = 20.0 m is the change in height of the box
Substituting, we find the work done:
[tex]W=(575)(20.0)=11,500 J[/tex]
Now we can find the power developed in lifting the box, which is given by
[tex]P=\frac{W}{t}[/tex]
where
W is the work done
t is the time elapsed
Here we have:
W = 11,500 J
t = 10.0 s
Substituting, we find
[tex]P=\frac{11500}{10}=1150 W[/tex]
And keeping in mind that
1 kW = 1000 W
We can convert the power into kilowatts:
[tex]P=1150 W = 1.15 kW[/tex]
Learn more about power:
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