A car (mass M) has a cross-sectional area A in the direction of motion. If it is moving at constant speed v, then the force due to air resistance is
Fair = CρAv2
where C ≈ 0.2 and ρis the density of air, 1.3 kg/m3. The power dissipated by a car moving at constant velocity is P = Fv, where F is the force required to overcome drag. Consider only the drag due to air resistance, and consider a car driving at speed v from city A to city B. For these problems consider C to be constant.
How does the energy required to get from A to B change if the velocity were increased from 50 mph to 55 mph?