The amount of energy a car expends against air resistance is approximately given by
where E is measure in Joules, ρairis the density of air (1.2 kg/m3), A is the cross-sectional area of the car viewed from the front (in m2), D is the distance traveled (in m), and v is the speed of the car (in m/s). Julie wants to drive from Tucson to Phoenix and get good gas mileage. For the following questions, assume that the energy loss is due solely to air resistance, and there is no wind.
Scott drives a very large 50s style car, and Laura drives a small 90s style car, so that every linear dimension of Scott's car is double that of Laura's car. On the basis of energy loss due to air resistance alone, how much more energy would you expect Scott's car to expend getting from Tucson to Phoenix than Laura's car?