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Electric cars like the Tesla Model 3 or Chevrolet Bolt have battery capacities measured in kilowatt-hours. The long-range model of the Model 3 has a
Electric cars like the Tesla Model 3 or Chevrolet Bolt have battery capacities measured in "kilowatt-hours". The long-range model of the Model 3 has a battery rated at 75 kilowatt-hours. (a) Using dimensional analysis, what sort of quantity (time, force, power, energy, distance, etc.) might be measured in kilowatt-hours? Convert one kilowatt-hour into more familiar units. (b) The US Environmental Protection Agency estimates that a Model 3 can drive 523 km (325 miles) on a charge of its battery. If this is the case, estimate the size of the drag force applied to the car by the air it is driving through. How does this force compare with the weight of a person? (c) If this car drives at 110 km/hr for a trip like this, estimate the power delivered to the wheels by the motor to sustain this speed. (Remember that power is the rate of doing work, and is equal to F v.)
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