Answer :
At power output is 118 W, and the mass of the bucket and the water in it is 7.00 kg, 1.72 m/s speed can raise the bucket.
To determine the speed at which you can raise the bucket, we need to apply the principles of work and energy.
1. First, let's calculate the work done in lifting the bucket of water. Work is equal to the force applied multiplied by the distance over which the force is exerted.
In this case, the force applied is equal to the weight of the bucket and water, which is given by the mass (7.00 kg) multiplied by the acceleration due to gravity (9.8 m/s²). Therefore, the force applied is
7.00 kg * 9.8 m/s² = 68.6 N.
2. The distance over which the force is exerted is not provided in the question, so we will assume it to be 1 meter for simplicity.
3. Now we can calculate the work done. The work done is given by the formula:
work = force * distance.
Substituting the values, we have:
work = 68.6 N * 1 m
work = 68.6 Joules (J).
4. The power output is given as 118 W, which represents the rate at which work is done. Power is calculated using the formula:
power = work / time.
Rearranging the formula, we can solve for time:
time = work / power.
Substituting the values, we have:
time = 68.6 J / 118 W
time ≈ 0.581 seconds.
5. Finally, we can calculate the speed at which the bucket is raised. Speed is defined as the distance traveled divided by the time taken. Since we assumed a distance of 1 meter, the speed is given by:
speed = distance / time
speed = 1 m / 0.581 s
speed ≈ 1.72 m/s.
Therefore, you can raise approximately 1.72 m/s of speed is applied to the bucket.
To learn more about principles of work and energy from the given link.
https://brainly.com/question/28043729
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