Calculate Jet Engine Thrust for 800 kg Jet Takeoff with 4 m/s^-2 Acceleration

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SUMMARY

The required engine thrust for an 800 kg jet to achieve an acceleration of 4 m/s² during takeoff, accounting for an air resistance of 500 N, is calculated to be 3700 N. The equation used is F - R = ma, where F represents thrust, R is air resistance, m is mass, and a is acceleration. The calculation confirms that the thrust must overcome both the inertia of the jet and the opposing force of air resistance to achieve the desired acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of force, mass, and acceleration
  • Familiarity with the concept of air resistance
  • Ability to perform algebraic manipulations
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  • Learn about calculating thrust-to-weight ratios in jet propulsion
  • Research the effects of air resistance on jet performance
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Homework Statement


Calculate the engine thrust required to produce an acceleration of 4 m/s^-2 in a jet of mass 800 kg as it takes off along the runway. The air resistance is 500 N
Appreciate if anyone can check if I have used the correct equation, and my answer.

Homework Equations


F - R = ma


The Attempt at a Solution


F - R = 800 x 4
F - 500 = 3200
Thrust (F) = 3700 N
 
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Yeah... That looks right.
 
Thanks for taking the time.
 

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