A horizontal rocket is attached to a stationary car and begins to propel it forward. The rocket applies 10,000 N of force for 100 meters of its total journey. Assuming no other propulsion is used for the car and its wheels are frictionless, how much work does the air do on the car over the course of its total journey?
W=FD, Work = Force X Distance. 10000 N × 100 m = 1000000 Joules
The car was propelled solely by the rocket and was stopped solely by air resistance (no other sources of friction), when the total work done by the rocket must be equal to the total work done by the air.