### Roller-Coaster ProblemA roller-coaster car has a mass of **505 kg** when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point **B** involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points **A** and **B** are parts of vertical circles of radius \( r_1 = 10.0 \, \text{m} \) and \( r_2 = 15.0 \, \text{m} \), respectively.#### Diagram ExplanationThe diagram shows a section of the roller-coaster with two labeled points, **A** and **B**, which are horizontally aligned on the roller-coaster track. Both points are at the top of circular sections of the track, with **A** having a smaller radius of curvature than **B**.#### Questions**(a)** If the vehicle has a speed of **19.1 m/s** at point **A**, what is the force exerted by the track on the car at this point?- **Answer:****(b)** What is the maximum speed the vehicle can have at **B** and still remain on the track?- **Answer:**These questions involve concepts such as centripetal force and gravitational force acting on the roller-coaster car as it moves over the hills of the roller-coaster track.

Answered: Image /qna-images/answer/1269dd25-2659-45d5-b789-15a661dddf2c.jpg

A roller-coaster car has a mass of 505 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical circles of radius ₁ = 10.0 m and r₂ = 15.0 m, respectively. (a) If the vehicle has a speed of 19.1 m/s at point, what is the force exerted by the track on the car at this point? (b) What is the maximum speed the vehicle can have at B and still remain on the track?

A roller-coaster car has a mass of 505 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical circles of radius ₁ = 10.0 m and r₂ = 15.0 m, respectively. (a) If the vehicle has a speed of 19.1 m/s at point, what is the force exerted by the track on the car at this point? (b) What is the maximum speed the vehicle can have at B and still remain on the track?

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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