Power is defined as the rate at which work is done or energy is transferred. In this case, the power due to the engine can be calculated by multiplying the force exerted by the engine by the velocity of the car. Since the car is moving with a steady velocity, the power due to the engine is equal to the power required to overcome the frictional force.
The power (P) is given by the formula:
P = Force * Velocity
In this case, the force is the total frictional force on the car, which is 400 N, and the velocity is 100 m/s. We can substitute these values into the formula:
P = 400 N * 100 m/s
P = 40,000 N·m/s
P = 40,000 Watts
Therefore, the power due to the engine is 40,000 Watts.