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A propeller-driven airplane of mass 680 kg is turning in a horizontal circle with a constant speed of 280 km/h. Its bank angle remains during the turn. A head-on view of the airplane and a top view are shown below.
Figure: An airplane speeds up along a circular path.
The forces on the airplane are due to Earth (gravitational force) and air. The force by the air on the airplane can be written as three components: lift (perpendicular to the wings), thrust (in the direction of the velocity), and drag (opposite to the velocity). Neglect wind.
- What is the magnitude of the force of lift on the airplane?
- Which force on the airplane is larger in magnitude, the thrust or the drag?
- What is the net force on the airplane?
- If it flies at a constant speed, what will be the radius of its path?
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