An electric car is climbing at 80 km/h up a 5° hill against a 10 km/h headwind. The vehicle has the following attributes

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An electric car is climbing at 80 km/h up a 5° hill against a 10
km/h headwind. The vehicle has the following
attributes: mass m = 1400 kg, drag coefficient CD = 0.19, vehicle
cross section A = 2.4 m2, coefficient of
rolling resistance CR = 0.0044, wheel radius r = 0.3 m, gear ratio
from motor to drive axle ng = 11, and an
overall gear efficiency ηg = 95%. Assume air density ρair = 1.202
kg*m-3. Assume a single-motor single-axle
drive to provide all the propulsion power.
i) What is the total force required to move this car at this steady
condition?
ii) Calculate the motor output torque in Nm and speed in RPM.
iiI) How much greater is the power requirement for climbing the 5°
slope compared to a flat road?