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1. (MCE503 and MCE403) An electric vehicle's battery pack has a useful charge of 60 kW-h. Suppose it could be modeled as a simple linear capacitor with an initial (fully-charged) voltage of 240 V. a. What is the equivalent capacitance in F and how many Coulombs of charge are initially stored? b. Suppose the overall drive efficiency is 80% and that separately 500 W are derived from the battery to power accessories and cabin climate control (with 100% efficiency). Assume that the car travels at an average speed of 60 mph. How far can the vehicle travel on a road with an average incline of 2%? Assume the vehicle has a mass of 3,800 lb and give the answer in miles