A jet-propelled airplane with a mass of 10 Mg is fl yinghorizontally at a constant speed

Chapter 3, Problem 3/175

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QUESTION:

A jet-propelled airplane with a mass of \(10 \mathrm{Mg}\) is flying horizontally at a constant speed of \(1000 \mathrm{~km} / \mathrm{h}\) under the action of the engine thrust T and the equal and opposite air resistance R. The pilot ignites two rocket-assist units, each of which develops a forward thrust \(T_0\) of \(8 \mathrm{kN}\) for \(9 \mathrm{~s}\). If the velocity of the airplane in its horizontal flight is \(1050 \mathrm{~km} / \mathrm{h}\) at the end of the \(9 \mathrm{~s}\), calculate the time average increase \(\Delta R\) in air resistance. The mass of the rocket fuel used is negligible compared with that of the airplane.

                                                       

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QUESTION:

A jet-propelled airplane with a mass of \(10 \mathrm{Mg}\) is flying horizontally at a constant speed of \(1000 \mathrm{~km} / \mathrm{h}\) under the action of the engine thrust T and the equal and opposite air resistance R. The pilot ignites two rocket-assist units, each of which develops a forward thrust \(T_0\) of \(8 \mathrm{kN}\) for \(9 \mathrm{~s}\). If the velocity of the airplane in its horizontal flight is \(1050 \mathrm{~km} / \mathrm{h}\) at the end of the \(9 \mathrm{~s}\), calculate the time average increase \(\Delta R\) in air resistance. The mass of the rocket fuel used is negligible compared with that of the airplane.

                                                       

ANSWER:

Step 1 of 3

The following are given by the question:

Initial velocity of plane,  

Final velocity of plane,

Forward thrust,  

Time,  

Mass of airplane,

                                                     

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