A jet plane of mass 30 tonnes touches down with a speed of 55 ms” and comes to rest after moving for 560 m in a straight line on the runway. Assuming that the only forces stopping the plane are provided by the reverse thrust of its two engines, and that these forces are equal and directed opposite to the direction of motion, calculate the magnitude of the thrust in each engine.

A jet plane of mass 30 tonnes touches down with a speed of 55 ms” and comes to rest after moving for 560 m in a straight line on the runway.

Title: Dynamics of Deceleration: Calculating Reverse Thrust in Jet Plane Engines

Introduction

In the realm of aviation dynamics, our numerical exploration takes us to the landing strip, where a jet plane of substantial mass—30 tonnes—touches down with a formidable speed of 55 m/s55m/s. The subsequent scenario unfolds as this airborne giant comes to a rest after covering a linear distance of 560 m560m on the runway. What makes this situation intriguing is the exclusive reliance on the reverse thrust generated by the plane’s two engines for its deceleration. These forces, symmetrically equal and opposing the initial direction of motion, serve as the exclusive agents responsible for bringing the aircraft to a controlled stop. Our numerical endeavor embarks on the quest to decipher the magnitude of thrust exerted by each engine, providing a glimpse into the intricate dynamics of aviation and the precise forces at play during the deceleration process.

Douglas Quadling Mechanics1 Exercise 2A Q15

A jet plane of mass 30 tonnes touches down with a speed of 55 ms” and comes to rest after moving for 560 m in a straight line on the runway………..

Solution:

Scope

A jet plane of mass 30 tonnes touches down with a speed of 55 ms” and comes to rest after moving for 560 m in a straight line on the runway………

1. Introduction:

• A 30-tonne jet plane performs a controlled descent, landing on a runway with an initial speed of 55 m/s.

2. Scenario Description:

• The plane comes to a complete rest, covering a distance of 560 m on the runway.
• Exclusive assumption: Only the reverse thrust from the plane’s two engines is responsible for decelerating and stopping the aircraft.
• The assumed forces are equal and directed opposite to the initial motion.

3. Objective:

• The primary goal is to calculate the magnitude of thrust generated by each engine during the deceleration process.

4. Significance:

• Understanding the thrust required for controlled landing provides insights into the intricate dynamics of aviation deceleration.
• Illustrates the crucial role of reverse thrust in bringing a jet plane to a controlled stop.

5. Exploration Focus:

• The numerical inquiry delves into the relationship between the mass of the jet, its initial speed, and the forces exerted by the engines during the landing.

6. Complexity and Precision:

• The scenario involves complexities due to the assumed exclusive influence of reverse thrust, necessitating precision in the calculation of thrust magnitudes.

7. Application of Newtonian Mechanics:

• The exploration applies principles of Newtonian mechanics to unravel the forces involved in the controlled landing.

8. Practical Implications:

• Findings contribute to the practical understanding of the forces required for safe and controlled landings in aviation.

9. Conclusion:

A jet plane of mass 30 tonnes touches down with a speed of 55 ms” and comes to rest after moving for 560 m in a straight line on the runway……..

• The numerical investigation promises insights into the intricate dynamics of aviation deceleration, shedding light on the precise thrust requirements for bringing a jet plane to rest.