Answer:
2.55 m/s
Explanation:
The power output can be rewritten as:
[tex]P=Fv[/tex] (1)
where
F is the force applied
v is the speed at which the bucket is raised
If we want to raise the bucket at constant speed, we must apply a force equal and opposite to the weight of the bucket, which is equal to the product between its mass (4.00 kg) and the gravitational acceleration (9.8 m/s^2):
[tex]F=mg=(4.00 kg)(9.8 m/s^2)=39.2 N[/tex]
We know that the power output is P = 100 W, so we can re-arrange eq.(1) to find the speed:
[tex]v=\frac{P}{F}=\frac{100 W}{39.2 N}=2.55 m/s[/tex]
