Answer :
you can raise the bucket at a speed of 2.17 m/s with a power output of 128 W, and a mass of 6.00 kg (ignoring the weight of the rope).
To calculate the speed at which you can raise the bucket, we need to use the equation:
Power = force x velocity
We can rearrange this equation to solve for velocity:
Velocity = Power/force
First, we need to calculate the force required to raise the bucket. We can use the equation:
Force = mass x acceleration
Since we want to find the minimum force required to raise the bucket, we'll use the acceleration due to gravity (9.81 m/s²) as the acceleration:
Force = 6.00 kg x 9.81 m/s² = 58.86 N
Now we can plug in the values we have:
Velocity = 128 W / 58.86 N
Velocity = 2.17 m/s
Therefore, you can raise the bucket at a speed of 2.17 m/s with a power output of 128 W, and a mass of 6.00 kg (ignoring the weight of the rope).
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