How Does Air Resistance Affect Engine Force in Accelerating Airplanes?

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As an airplane accelerates, air resistance increases, impacting the force required from the engines. To achieve an acceleration of 2.4 m/s² at a speed of 20 m/s with air resistance of 300N, the engines must exert a specific force. Additionally, when flying at a constant speed of 50 m/s with air resistance at 1.8 kN, the engines must counteract this resistance to maintain speed. Understanding these dynamics is crucial for calculating engine performance under varying conditions. Accurate calculations help ensure efficient aircraft operation.
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As an airplane (mass 620 kg) increases its speed, air resistance increases.

a) What force must the engines exert in order to accelerate the plane at a rate of 2.4 m/s2 if the airplane is flying at a speed of 20 m/s, with the air resistance at 300N?

b) What force must the engines exert if the plane is flying at a constant speed of 50 m/s, with the air resistance at 1.8 kN?
 
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