A car in an amusement park ride rolls without friction around a track. The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)? If the car starts at height h= 4.50 R and the radius is R1 = 17.0 m, compute the speed of the passengers when the car is at point C, which is at the end of a horizontal diameter. Compute the radial acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter. The image depicts a section of a roller coaster with a loop. It includes various components labeled with letters and symbols:1. **Roller Coaster Track:** - The track features a hill leading into a loop. Point A is located at the top of the initial hill.2. **Height Indicator:** - The height of the hill is represented by the variable \(h\).3. **Loop Details:** - The loop is circular, featuring a center point labeled \(C\). - The radius of the loop is indicated by the variable \(R\).4. **Vectors:** - Arrows denote the direction of motion at different points on the track. At point A, arrows on the incline suggest gravitational force components affecting the coaster.5. **Points on the Loop:** - Point B is located at the top of the loop, with an arrow indicating the direction of motion, suggesting centripetal force.This diagram can be used to explain the physics of roller coaster motion, including concepts like potential energy, kinetic energy, and centripetal force.

Name: A car in an amusement park ride rolls without friction around a track.
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Description: A car in an amusement park ride rolls without friction around a track. The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. What is the minimum value of h (in terms of R) such that the car moves

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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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A car in an amusement park ride rolls without friction around a track. The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)? If the car starts at height h= 4.50 R and the radius is R1 = 17.0 m, compute the speed of the passengers when the car is at point C, which is at the end of a horizontal diameter. Compute the radial acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.

The image depicts a section of a roller coaster with a loop. It includes various components labeled with letters and symbols:

1. **Roller Coaster Track:**
- The track features a hill leading into a loop. Point A is located at the top of the initial hill.

2. **Height Indicator:**
- The height of the hill is represented by the variable \(h\).

3. **Loop Details:**
- The loop is circular, featuring a center point labeled \(C\).
- The radius of the loop is indicated by the variable \(R\).

4. **Vectors:**
- Arrows denote the direction of motion at different points on the track. At point A, arrows on the incline suggest gravitational force components affecting the coaster.

5. **Points on the Loop:**
- Point B is located at the top of the loop, with an arrow indicating the direction of motion, suggesting centripetal force.

This diagram can be used to explain the physics of roller coaster motion, including concepts like potential energy, kinetic energy, and centripetal force.

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