A fighter plane is in a steep climb such that the angle between the direction of the climb and the vertical is 70, as shown in the diagram. the forces acting on the plane are L, which is trhe lift component, Mg is the weight of the plane and T is the thrust from the engines. The thrust produces a displacement x = 2.1 x 10^3m. If 7.5 x 10^7 joules of work is done during the climb, calculate the magnitude of the thrust, T.

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Chapter1: Units, Trigonometry. And Vectors
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A fighter plane is in a steep climb such that the angle between the direction of the climb and the vertical is 70, as shown in the diagram. the forces acting on the plane are L, which is trhe lift component, Mg is the weight of the plane and T is the thrust from the engines. The thrust produces a displacement x = 2.1 x 10^3m. If 7.5 x 10^7 joules of work is done during the climb, calculate the magnitude of the thrust, T.

 

 

The image features a diagram illustrating the forces acting on an object, likely representing an aircraft or paper airplane, shown from a side view. The diagram is set against a grid background reminiscent of an Excel spreadsheet.

Key elements of the diagram:

- **Mg = 6.5 x 10⁴ N**: This label indicates the gravitational force acting downwards, labeled as "Mg" with a magnitude of 6.5 x 10⁴ Newtons.

- **L**: This represents the lift force acting perpendicular to the direction of gravity, depicted as a vertical arrow.

- **T = 5.94 x 10⁴ N**: This label signifies the thrust force with a magnitude of 5.94 x 10⁴ Newtons, shown as an arrow pointing towards the right.

- **70° Angle**: There is a marked angle of 70° between the lift and another vector, showing the relative orientation.

- **ΔX**: This horizontal arrow indicates the displacement or change in position in the horizontal direction.

The diagram effectively uses arrows to communicate the direction and magnitude of the different forces acting on the object, providing a clear, visual representation of basic physics principles such as lift, gravity, thrust, and their interactions.
Transcribed Image Text:The image features a diagram illustrating the forces acting on an object, likely representing an aircraft or paper airplane, shown from a side view. The diagram is set against a grid background reminiscent of an Excel spreadsheet. Key elements of the diagram: - **Mg = 6.5 x 10⁴ N**: This label indicates the gravitational force acting downwards, labeled as "Mg" with a magnitude of 6.5 x 10⁴ Newtons. - **L**: This represents the lift force acting perpendicular to the direction of gravity, depicted as a vertical arrow. - **T = 5.94 x 10⁴ N**: This label signifies the thrust force with a magnitude of 5.94 x 10⁴ Newtons, shown as an arrow pointing towards the right. - **70° Angle**: There is a marked angle of 70° between the lift and another vector, showing the relative orientation. - **ΔX**: This horizontal arrow indicates the displacement or change in position in the horizontal direction. The diagram effectively uses arrows to communicate the direction and magnitude of the different forces acting on the object, providing a clear, visual representation of basic physics principles such as lift, gravity, thrust, and their interactions.
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