Modern roller coasters have vertical loops like the one shown in the figure below. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats.**Diagram Explanation:**The diagram shows a vertical loop with points labeled B, C, D, and A. The loop has two arrows indicating different radii of curvature: \( r_{\text{minimum}} \) at the top of the loop and \( r_{\text{maximum}} \) at the sides of the loop. These different radii ensure that passengers maintain pressure against their seats due to the centripetal acceleration.**Question:**What is the speed, in m/s, of the roller coaster at the top of the loop if the radius of curvature there is 16.0 m and the downward acceleration of the car is \( 1.50 \, g \)?> \( 24.5 \) (incorrect answer)**Follow-up Question:**What is the relationship between centripetal acceleration and tangential speed? m/s

Radius of curvature (R) = 16 mAcceleration (a) = 1.5 g

than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravi keeping the passengers pressed firmly into their seats. D B minimum Imaximum с A What is the speed, in m/s, of the roller coaster at the top of the loop if the radius of curvature there is 16.0 m and the downward acceleration of the car is 1.50 g? 24.5 What is the relationship between centripetal acceleration and tangential speed? m/s

than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravi keeping the passengers pressed firmly into their seats. D B minimum Imaximum с A What is the speed, in m/s, of the roller coaster at the top of the loop if the radius of curvature there is 16.0 m and the downward acceleration of the car is 1.50 g? 24.5 What is the relationship between centripetal acceleration and tangential speed? m/s

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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