a set of pulleys is used to lift a piano weighing 1,000 newtons. the piano is lifted 3 meters in 60 secounda. how much power is used?
To determine the amount of power used to lift the piano, we can use the equation:
Power = Work / Time
First, let's calculate the work done to lift the piano.
Work = Force * Distance
Given that the force (weight of the piano) is 1,000 newtons and the distance it is lifted is 3 meters, we can substitute these values into the equation:
Work = 1,000 newtons * 3 meters = 3,000 joules
Next, we need to convert the time from seconds to hours since power is typically measured in watts (joules per second).
60 seconds = 1 minute
60 minutes = 1 hour
Since the piano was lifted in 60 seconds, the time in hours would be:
60 seconds / (60 seconds/minute) * (1 minute/60 minutes) = 1 hour
Now, we can calculate the power using the formula:
Power = Work / Time = 3,000 joules / 1 hour
However, it is good practice to work with SI units consistently, so let's convert hours to seconds:
1 hour = 3,600 seconds
Now, substituting the values into the formula:
Power = 3,000 joules / 3,600 seconds ≈ 0.833 watts
Therefore, the amount of power used to lift the piano is approximately 0.833 watts.