The car shown above has a mass of 1000 kg and a center of mass at G. The rear wheels are attached to the car's engine, while the front wheels are free to rotate. The coefficient of static friction between the wheels and the road is 0.3 The car can attain a maximum speed of (V) 70 m/s on a flat road. The force of air resistance acts on a plane 0.4 m above ground level, and is proportional to the square of the speed of the car. Determine

 1. the power of the engine

2. the maximum speed the car can attain up a 7° incline

 3. the maximum incline the car can move up 0.3 m A- B 1.25 m - 0.75 m

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0.3 m A- 1.25 m 0.75 m 0.3 m A- 1.25 m 0.75 m