The model airplane in Figure 5.6 is flying at a speed of 11.7 m/s on a horizontal circle of radius 19.5 m. The mass of the plane is 1.13 kg. The person holding the guideline pulls it in until the radius of the circle becomes 13.7 m. The plane speeds up, and the tension in the guideline becomes four times greater. What is the net work done on the plane?

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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**Figure 5.6 Description for Educational Website:**

The text describes a scenario involving a model airplane. Initially, the airplane is flying at a speed of 11.7 m/s around a horizontal circle with a radius of 19.5 meters. The airplane has a mass of 1.13 kg. A person holding the guideline connected to the airplane pulls it in, reducing the radius of the circle to 13.7 meters. As a result, the airplane speeds up, and the tension in the guideline increases to four times its original amount. The question posed is to determine the net work done on the plane.

**Diagram Explanation:**

The diagram illustrates a person holding a guideline attached to a model airplane flying in a circular path. The airplane is shown traveling around a circle marked by a dashed red line. A blue arrow indicates the tension in the guideline, pointing towards a scale that records the tension in newtons. The tension is initially shown as 0 N for illustrative purposes. The change in radius and tension implies calculations related to centripetal force and work done on the system based on these changes.
Transcribed Image Text:**Figure 5.6 Description for Educational Website:** The text describes a scenario involving a model airplane. Initially, the airplane is flying at a speed of 11.7 m/s around a horizontal circle with a radius of 19.5 meters. The airplane has a mass of 1.13 kg. A person holding the guideline connected to the airplane pulls it in, reducing the radius of the circle to 13.7 meters. As a result, the airplane speeds up, and the tension in the guideline increases to four times its original amount. The question posed is to determine the net work done on the plane. **Diagram Explanation:** The diagram illustrates a person holding a guideline attached to a model airplane flying in a circular path. The airplane is shown traveling around a circle marked by a dashed red line. A blue arrow indicates the tension in the guideline, pointing towards a scale that records the tension in newtons. The tension is initially shown as 0 N for illustrative purposes. The change in radius and tension implies calculations related to centripetal force and work done on the system based on these changes.
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