if a 700-kg piano us lifted 4.0 meters in 14 seconds, how much power is developed
Use power=mgh/t
if m=kg, g=m/s², h=m and t=s, power is in watts.
To calculate the power developed, we can use the formula:
Power = Work / Time
First, let's calculate the work done. The work done is equal to the force applied multiplied by the distance moved. In this case, the force applied to lift the piano is equal to its weight.
Weight = mass × acceleration due to gravity
Weight = 700 kg × 9.8 m/s^2 (standard acceleration due to gravity)
Weight = 6860 N (Newtons)
The distance moved is given as 4.0 meters.
Now we can calculate the work:
Work = Force × Distance
Work = Weight × Distance
Work = 6860 N × 4.0 m
Work = 27440 N·m (Joules)
Finally, we can calculate the power developed:
Power = Work / Time
Power = 27440 J / 14 s
Power ≈ 1960 Watts
Therefore, the power developed to lift the piano is approximately 1960 Watts.