As a car rounds the top of a hill at a speed of 22.31 m/s, it very briefly loses contact with the pavement. This section of the road has an approximately circular shape (see figure). Find the radius r.r = _____ **Physics of Motion: Understanding Curved Paths**In the image above, we see a vehicle at the top of a hill. This hill is depicted as being part of a circular arc with a radius denoted as "r".### Explanation of the Diagram1. **Car on a Hill:** - The red car is positioned at the crest of a curved hill, illustrating motion over a curved path.2. **Circular Path:** - The blue circle under the hill represents the path's curvature. - The circle’s radius, indicated by "r," symbolizes the distance from the center of the circular path to any point on its circumference. 3. **Key Concept - Centripetal Force:** - As the car moves over the curved top of the hill, it experiences centripetal force directed towards the center of the circular path. - This force is essential for maintaining the car’s motion along the curved path and is counteracted by gravitational force when the car moves over or down the hill. This setup is a classic example used in physics to explain concepts such as gravitational forces, centripetal acceleration, and dynamics of motion on curved paths. Understanding these principles is crucial for the analysis of real-world motion scenarios, such as vehicles traversing hills or roller coasters navigating loops.

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As a car rounds the top of a hill at a speed of 22.31 m/s, it very briefly loses contact with the pavement. This section of the road has an approximately circular shape (see figure). Find the radius r. r = _____

As a car rounds the top of a hill at a speed of 22.31 m/s, it very briefly loses contact with the pavement. This section of the road has an approximately circular shape (see figure). Find the radius r. r = _____

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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