Final answer:
The magnitude of the resistive force exerted by the air on the airplane is 8 N.
Step-by-step explanation:
To find the magnitude of the resistive force exerted by the air on the airplane, we can use Newton's second law of motion: F = ma.
Given:
- Forward force exerted by the air on the propeller (F) = 8 N
- Mass of the airplane (m) = 0.22 kg
- Acceleration of the airplane (a) = 2 m/s²
Using the formula F = ma, we can rearrange it to solve for the resistive force (F_r).
Since the airplane is accelerating forward, the resistive force opposes the motion and acts in the opposite direction. Therefore, the magnitude of the resistive force exerted by the air on the airplane is 8 N.