An Airbus A320 jetliner has a takeoff mass of 75,000 kg. It...

An Airbus A320 jetliner has a takeoff mass of 75,000 kg. It reaches its takeoff speed of $82 \mathrm{m} / \mathrm{s}(180 \mathrm{mph})$ in $35 \mathrm{s}$. What is the thrust of the engines? You can neglect air resistance but not rolling friction.

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Key Concepts

Thrust

Thrust refers to the force generated by the engines to propel the aircraft forward. In this context, thrust must overcome both the inertial demands of accelerating the mass to the required speed and the resistive forces such as rolling friction. Understanding thrust is key to determining the required engine performance during takeoff.

Friction (Rolling Resistance)

Rolling friction is the resistive force that acts on a body rolling over a surface. Unlike air resistance, rolling friction cannot be neglected in many real-world scenarios, as it contributes to the total force opposing the motion. Recognizing and including its effect is important for accurately calculating the propulsion requirements.

Kinematics (Acceleration)

This concept involves calculating how an object’s velocity changes over time. In problems like these, determining the acceleration by using the change in velocity over the period of time is crucial because it serves as an input for further force calculations.

Newton's Second Law

Newton's Second Law states that the net force acting on an object is equal to the product of its mass and its acceleration (F = ma). This principle is fundamental for linking the mass and acceleration provided in the problem to the net force that must be produced by the engines.