The figure below shows a roller-coaster vehicle on a track. The vehicle is fully loaded with passengers and has a total mass of 550 kg. At point A, the vehicle is at the lowest point in a circular arc of radius r1 = 11.0 m. At point B, the vehicle is at the highest point of a circular arc of radius r2 = 17.8 m.(a)If the vehicle has a speed of 22.0 m/s at point A, what is the magnitude of the force (in N) of the track on the vehicle at this point? (b)What is the maximum speed (in m/s) the vehicle can have at point B in order for the vehicle to maintain contact with the track at all times (that is, so that it does not "jump" off the track)? This image depicts a section of a roller coaster with two key points labeled A and B. The coaster track includes a downhill slope leading to a valley at point A, followed by an uphill slope reaching a peak at point B.In the diagram:- **Point A** is at the lowest part of the coaster track. It's marked with a circular arc with a radius noted as \( r_1 \). The circle represents the curvature of the track at this point, indicating the centripetal force acting on the coaster.- **Point B** is at the highest point on the track. Here, another circular arc is shown with a radius \( r_2 \). This circle illustrates the curvature at the peak, affecting the roller coaster dynamics.- The roller coaster is depicted with two people seated in a car on top of the track, highlighting the starting point of the coaster's descent.This diagram is useful for understanding the physics of roller coasters, particularly in analyzing potential energy at the peak and kinetic energy in the valley, as well as the forces acting at different points on the track.

(a) The expression for the force exerted by the track on the car is as follows: FA=mg+mvA2r1…

Answered: The figure below shows a roller-coaster…

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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The figure below shows a roller-coaster vehicle on a track. The vehicle is fully loaded with passengers and has a total mass of 550 kg. At point A, the vehicle is at the lowest point in a circular arc of radius r₁ = 11.0 m. At point B, the vehicle is at the highest point of a circular arc of radius r₂ = 17.8 m.

(a)If the vehicle has a speed of 22.0 m/s at point A, what is the magnitude of the force (in N) of the track on the vehicle at this point?

(b)What is the maximum speed (in m/s) the vehicle can have at point B in order for the vehicle to maintain contact with the track at all times (that is, so that it does not "jump" off the track)?

This image depicts a section of a roller coaster with two key points labeled A and B. The coaster track includes a downhill slope leading to a valley at point A, followed by an uphill slope reaching a peak at point B.

In the diagram:

- **Point A** is at the lowest part of the coaster track. It's marked with a circular arc with a radius noted as \( r_1 \). The circle represents the curvature of the track at this point, indicating the centripetal force acting on the coaster.

- **Point B** is at the highest point on the track. Here, another circular arc is shown with a radius \( r_2 \). This circle illustrates the curvature at the peak, affecting the roller coaster dynamics.

- The roller coaster is depicted with two people seated in a car on top of the track, highlighting the starting point of the coaster's descent.

This diagram is useful for understanding the physics of roller coasters, particularly in analyzing potential energy at the peak and kinetic energy in the valley, as well as the forces acting at different points on the track.

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