The mass of the crate is 15.9 kg
Explanation:
There is a missing data in the text: the time elapsed. I will assume it is 10 seconds.
The power used by the motor is given by
[tex]P=\frac{W}{t}[/tex]
where
W is the work done
t is the time elapsed
We have:
P = 156 W
t = 10 s
Solving for W, we find the work done in lifting the crate
[tex]W=Pt=(156)(8.5)=1326 J[/tex]
The work done in lifting the crate is equal to the change in gravitational potential energy of the crate:
[tex]W=mgh[/tex]
where:
W = 1326 J is the work done
m is the mass of the crate
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
h = 8.5 m is the change in height
Solving for m, we find:
[tex]m=\frac{W}{gh}=\frac{1326}{(9.8)(8.5)}=15.9 kg[/tex]
Learn more about work:
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