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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A car, of mass 1400 kg, moves with a steady speed of 20 ms-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 8 =;
20
and the resistance to the motion of the car remains unchanged, the specd of the car is 16 ms-1
when its acceleration is ms-2.
(c) Calculate the rate at which the engine is working.
Transcribed Image Text:A car, of mass 1400 kg, moves with a steady speed of 20 ms-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 8 =; 20 and the resistance to the motion of the car remains unchanged, the specd of the car is 16 ms-1 when its acceleration is ms-2. (c) Calculate the rate at which the engine is working.
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