Why power of engine must be equal to power of friction

frictionkinematicspower

Suppose a car with electrical engine moves uniformly with friction between wheels and the ground (neglect air resistance, energy loss, etc.). So why the car's engine power must be equal to friction's power for the car to move uniformly?

Best Answer

If the engine produces more power, that has to go somewhere, and in the situation you describe, it will go into kinetic energy, meaning to accelerate the car.

If it produces less power, the friction will get its missing power from kinetic energy, thus decelerating the car.

Only if the engine power matches the friction power, kinetic energy stays untouched, meaning constant speed.

That matches our everyday experience. There's always one gas pedal position for constant speed. Pushing harder (more engine power) accelerates, pushing less than that decelerates.

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