A small airplane is flying horizontally. The air resistance is proportional to the square of its speed and was 520 kg-wt when it was moving at 205 km/h. Given that the maximum speed of the airplane is 300 km/h, determine the power of its engine, stating your answer to the nearest horsepower if required. Take .
A 210-horsepower pickup truck of mass 3.75 tonnes is ascending a section of a road inclined to the horizontal at an angle whose sine is 0.3. Given that the magnitude of the resistance to the truck’s motion is 50 kg-wt for each tonne of the truck’s mass, determine the truck’s maximum speed. Take the acceleration due to gravity .
A vehicle of mass 3 tonnes was moving at 51 km/h along a horizontal section of road. When it reached the bottom of a hill inclined to the horizontal at an angle whose sine is 0.5, it continued moving at the same speed up the road. Given that the resistance of the two sections of road is constant, determine the increase in the vehicle’s power to the nearest horsepower. Take the acceleration due to gravity .