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Question

An airplane of mas 1.50×104kg is in level flight initially moving at 60.0m/s the resistive force exerted by air on the airplane has a ,magnitude o f4.0×104N By Newton's third law, iof the engines exert a force on the exhaust gases to expel them out of the back of the engine, the exhaust gases exerts a force on the engines called thrust, and the value of the thrust in this situation is 7.50×104N Is the work done by the exhaust gases on the airplane during some time interval equal to the change in the airplane's kinetic energy? Explain.

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Solution

Given,
mass of airplane is 1.50×104kg
initial velocity (vi) is 60m/s
Force exerted by engine (Fe) is 4×104N
Force exerted by air (Fa) is 7.5×104N
According to newton's second law of motion
Fnet=FeFa
For isolated system change in kinetic energy is work done by net force acting on the system but here force is also exerted by air which is not conservative force therefore here, work done by the exhaust gases on the airplane during some time interval is not equal to the change in the airplane's kinetic energy.

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