Question on Energy conservation - Car pushing on air column

[pavantgpk]

Question on Energy conservation -- Car pushing on air column

Homework Statement

An automobile moving through the air causes the air velocity to decrease and fill a larger flow channel. An automobile has an effective flow channel area of 3 m^2. THe car is traveling at 90 k/h on a day when the barometric pressure is 75 cm of mercury and the temperature is 30 C. Behind the car, the air veloctiy is measured to be 82 km/h, and the temperature is 30 C. Determine the power required to move this car through the air and the effective flow channel behind the car?

Homework Equations

Here we need to find the mass flow rate through (A₁V₁)/specific volume and calculate the change in kinetic energy of the wind

The Attempt at a Solution

The only part I don't understand is how the power required by the car is equal to energy change of the wind and how the velocity of the wind initially is 90kmph?

 

[mfb]

The only part I don't understand is how the power required by the car is equal to energy change of the wind

Neglecting other losses, this is just energy conservation.

and how the velocity of the wind initially is 90kmph?

As seen by the car, what else do you expect?