(a)A roller-coaster car has a total mass (including passengers) of 505 kg. Sitting in the car is a passenger with a mass of 49.0 kg. The car reaches the lowest point of a circular arc in the track, point A in the figure below, moving at a speed of 14.0 m/s. The radius of the arc is r1 = 23.0 m.A roller coaster on a track is shown. Two points labeled A and B are given. The path of the roller coaster begins from the top of hill, down a steep incline to point A which is shown as the bottom point of a circle of radius r1. The path then continues up another incline to the top of another hill. At the top of the hill is point B which is shown as the top point of a second circle of radius r2.What is the magnitude (in N) and direction of the force that the seat exerts on the passenger at point A?magnitude Ndirection (b)What If? If the car has the same speed at point A as in part (a), what would the radius (in m) of the track have to be for the force of the seat on the passenger at this point to be twice the passenger's weight?

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Answered: A roller-coaster car has a total mass…

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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Question

(a)

A roller-coaster car has a total mass (including passengers) of 505 kg. Sitting in the car is a passenger with a mass of 49.0 kg. The car reaches the lowest point of a circular arc in the track, point A in the figure below, moving at a speed of 14.0 m/s. The radius of the arc is

r₁ = 23.0 m.

A roller coaster on a track is shown. Two points labeled A and B are given. The path of the roller coaster begins from the top of hill, down a steep incline to point A which is shown as the bottom point of a circle of radius r₁. The path then continues up another incline to the top of another hill. At the top of the hill is point B which is shown as the top point of a second circle of radius r₂.

What is the magnitude (in N) and direction of the force that the seat exerts on the passenger at point A?

magnitude Ndirection

(b)

What If? If the car has the same speed at point A as in part (a), what would the radius (in m) of the track have to be for the force of the seat on the passenger at this point to be twice the passenger's weight?