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A racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars race in circles that are parallel to the ground. For a speed of 32.3 m/s, at what value of the distance d should a driver locate his car if he wishes to stay on a circular path without depending on friction? Number eTextbook and Media Hint Save for Later Units 40.0 140.0 Attempts: 0 of 3 used Submit Answer

A racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars race in circles that are parallel to the ground. For a speed of 32.3 m/s, at what value of the distance d should a driver locate his car if he wishes to stay on a circular path without depending on friction? Number eTextbook and Media Hint Save for Later Units 40.0 140.0 Attempts: 0 of 3 used Submit Answer

College Physics
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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**Title: Understanding the Forces on an Inverted Cone Racetrack** **Problem Statement:** A racetrack is designed in the shape of an inverted cone. On this surface, cars race in circles that are parallel to the ground. At a speed of 32.3 m/s, determine the distance \( d \) from the cone's axis where a driver should position the car to maintain a circular path without relying on friction. **Diagram Explanation:** The accompanying diagram shows a cross-section of the inverted cone with a car positioned on its surface. The cone's walls are inclined at an angle of 40.0° to the horizontal. The car in the image is shown racing on a circular track, visually represented by a horizontal line dissecting the cone. **Inputs:** - **Number**: Input the calculated value. - **Units**: Specify the units of measurement. **Resources:** - Use the "eTextbook and Media" section for additional information and theoretical background. - Use the "Hint" option for guidance on solving the problem. **Attempts Allowed:** - Maximum of 3 attempts to submit the correct answer. **Submit Button:** - Click on "Submit Answer" after entering the calculated value and the appropriate units. This problem introduces fundamental concepts related to circular motion and centrifugal force, while exploring the effects of inclined surfaces in the context of vehicle dynamics.
Transcribed Image Text:**Title: Understanding the Forces on an Inverted Cone Racetrack** **Problem Statement:** A racetrack is designed in the shape of an inverted cone. On this surface, cars race in circles that are parallel to the ground. At a speed of 32.3 m/s, determine the distance \( d \) from the cone's axis where a driver should position the car to maintain a circular path without relying on friction. **Diagram Explanation:** The accompanying diagram shows a cross-section of the inverted cone with a car positioned on its surface. The cone's walls are inclined at an angle of 40.0° to the horizontal. The car in the image is shown racing on a circular track, visually represented by a horizontal line dissecting the cone. **Inputs:** - **Number**: Input the calculated value. - **Units**: Specify the units of measurement. **Resources:** - Use the "eTextbook and Media" section for additional information and theoretical background. - Use the "Hint" option for guidance on solving the problem. **Attempts Allowed:** - Maximum of 3 attempts to submit the correct answer. **Submit Button:** - Click on "Submit Answer" after entering the calculated value and the appropriate units. This problem introduces fundamental concepts related to circular motion and centrifugal force, while exploring the effects of inclined surfaces in the context of vehicle dynamics.
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