An airplane of mass 1.40 x 10^4 kg is in level flight, initially moving at 56.0

Question

An airplane of mass 1.40 x 10^4 kg is in level flight, initially moving at 56.0 m/s. The resistive force exerted by air on the airplane has a magnitude of 4.1x 10^4 N. By Newton's third law, if the engines exert a force on the exhaust gases to expel them out of the back of the engine, the exhaust gases exert a force on the engines in the direction of the airplane's travel. This force is called thrust, and the value of the thrust in this situation is 7.60 x 10^4 N.

Find the speed of the airplane after it has traveled 4.4 102 m.

Explanation / Answer

total force = (7.6-4.1) * 10^4 = 3.5 *10^4

acceleration = 3.5 *10^4 / 1.40 x 10^4 = 2.5 m/sec^2

V^2 = U^2 + 2aS = 56^2 + 2*2.5 * 4.4*10^2 = 5336
V = 73.04 m/sec

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