The engine of a car is developing a power of when it is moving on a horizontal road…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

The engine of a car is developing a power of 90 kW90\text{ kW} when it is moving on a horizontal road at a constant speed of 100 km h−1100\text{ km h}^{-1}. (1) Estimate the total horizontal force opposing the motion of the car. (2) Assuming the opposing force stays the same, what additional power must the engine deliver for the car to continue at the same speed up an incline making an angle of 5.0∘5.0^\circ to the horizontal? The mass of the car is 1200 kg1200\text{ kg}.

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