A car, of mass 1400 kg, moves with a steady specd of 20 m s-1 on a straight rough road with its engine working at a constant rate of 36 kW. (a) Calculate the resistance R to the motion of the car if the road is horizontal. Given that R is proportional to the square of the speed v of the car, (b) show that R = »* When the car is descending a straight road inclined at an angle 0 to the horizontal, where sin 0 = and the resistance to the motion of the car remains unchanged, the speed of the car is 16 m s-1 20 when its acceleration is ms-2. (c) Calculate the rate at which the engine is working.
A car, of mass 1400 kg, moves with a steady specd of 20 m s-1 on a straight rough road with its engine working at a constant rate of 36 kW. (a) Calculate the resistance R to the motion of the car if the road is horizontal. Given that R is proportional to the square of the speed v of the car, (b) show that R = »* When the car is descending a straight road inclined at an angle 0 to the horizontal, where sin 0 = and the resistance to the motion of the car remains unchanged, the speed of the car is 16 m s-1 20 when its acceleration is ms-2. (c) Calculate the rate at which the engine is working.
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