A lightweight electric car is powered by ten 12-V batteries. At a speed of 80 km/h, the average frictional force is 1200 N.

(a) What must be the power of the electric motor if the car is to travel at a speed of 80 km/h?

(b) If each battery can deliver a total charge of 160 A · h before recharging, what is the total charge in coulombs that can be delivered by the 10 batteries before charging?

(c) What is the total electrical energy delivered by the 10 batteries before recharging?

(d) How far can the car travel at 80 km/h before the batteries must be recharged?

(e) What is the cost per kilometer if the cost of recharging the batteries is 9 cents per kilowatt-hour?