Force = 2560 NDistance = 0.6 kmTime = 8 minutesCalculate the power in kilowatts.Power = _____ kW
Question
Force = 2560 NDistance = 0.6 kmTime = 8 minutesCalculate the power in kilowatts.Power = _____ kW
Solution
To calculate the power in kilowatts, we first need to convert all the units to the standard units.
- Convert distance from kilometers to meters: 0.6 km = 600 m
- Convert time from minutes to seconds: 8 minutes = 480 seconds
Power is calculated by the formula: Power = Work/Time
Work is calculated by the formula: Work = Force x Distance
So, first we calculate the work done:
Work = Force x Distance = 2560 N x 600 m = 1536000 Joules
Then we calculate the power:
Power = Work/Time = 1536000 Joules / 480 seconds = 3200 Watts
To convert power from Watts to kilowatts, we divide by 1000:
Power = 3200 W / 1000 = 3.2 kW
So, the power is 3.2 kW.
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