A jet plane is flying with a constant speed along a straight line, at an angle of 30.0° above the horizontal, as shown in part (a) of the drawing. The plane has a weight of magnitude 88200 N, and its engines provide a forward thrust . In addition, the lift force (directed perpendicular to the wings) and the force of air resistance (directed opposite to the motion) act on the plane. Part (b) of the drawing shows the free-body diagram of the plane. The air resistance has magnitude 61700 N. What are (a) the thrust and (b) the lift? The image contains three diagrams illustrating the forces acting on an airplane and their components.(a) Diagram (a) shows an airplane with four vectors labeled: Lift (\( \vec{L} \)), Thrust (\( \vec{T} \)), Drag (\( \vec{R} \)), and Weight (\( \vec{W} \)). The angle between the airplane's path and the horizontal is labeled \( \beta \), and the angle of attack \( \alpha \) is marked between the plane's longitudinal axis and the airflow.(b) Diagram (b) is a free-body diagram representing the same forces: Lift (\( \vec{L} \)), Thrust (\( \vec{T} \)), Drag (\( \vec{R} \)), and Weight (\( \vec{W} \)). The weight vector \( \vec{W} \) is resolved into two components along the perpendicular axes: \( W \sin 30^\circ \) and \( W \cos 30^\circ \). The angle between \( \vec{W} \) and the vertical is \( 30^\circ \).(c) Diagram (c) shows a right triangle with angles marked as \( 30^\circ \), \( 90^\circ \), and the remaining angle labeled as \( \beta \). The triangle illustrates the relationship between the angles, where \( \alpha \) is another angle in the context of the airplane's orientation.

Plane is flying with constant speed hence, net force acting on plane is zero. so, from the free body…

Answered: A jet plane is flying with a constant…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A jet plane is flying with a constant speed along a straight line, at an angle of 30.0° above the horizontal, as shown in part (a) of the drawing. The plane has a weight of magnitude 88200 N, and its engines provide a forward thrust . In addition, the lift force (directed perpendicular to the wings) and the force of air resistance (directed opposite to the motion) act on the plane. Part (b) of the drawing shows the free-body diagram of the plane. The air resistance has magnitude 61700 N. What are (a) the thrust and (b) the lift?

The image contains three diagrams illustrating the forces acting on an airplane and their components.

(a) Diagram (a) shows an airplane with four vectors labeled: Lift (\( \vec{L} \)), Thrust (\( \vec{T} \)), Drag (\( \vec{R} \)), and Weight (\( \vec{W} \)). The angle between the airplane's path and the horizontal is labeled \( \beta \), and the angle of attack \( \alpha \) is marked between the plane's longitudinal axis and the airflow.

(b) Diagram (b) is a free-body diagram representing the same forces: Lift (\( \vec{L} \)), Thrust (\( \vec{T} \)), Drag (\( \vec{R} \)), and Weight (\( \vec{W} \)). The weight vector \( \vec{W} \) is resolved into two components along the perpendicular axes: \( W \sin 30^\circ \) and \( W \cos 30^\circ \). The angle between \( \vec{W} \) and the vertical is \( 30^\circ \).

(c) Diagram (c) shows a right triangle with angles marked as \( 30^\circ \), \( 90^\circ \), and the remaining angle labeled as \( \beta \). The triangle illustrates the relationship between the angles, where \( \alpha \) is another angle in the context of the airplane's orientation.

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