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Force = 2560 NDistance = 0.6 kmTime = 8 minutesCalculate the power in kilowatts.Power = _____ kW

Question

Calculate the power in kilowatts.

Given:

  • Force = 2560 N
  • Distance = 0.6 km
  • Time = 8 minutes

Power = _____ kW

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Solution

To calculate the power in kilowatts, we first need to convert all the units to the standard units.

  1. Convert distance from kilometers to meters: 0.6 km = 600 m
  2. 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.

This problem has been solved

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