(Circular Motion) A roller coaster of mass m in an amusement park is about to take on a vertical loop of radius R. Upon reaching the top of the loop (when everybody is upside down), it is found that the force exerted by the track on the roller coaster is half the magnitude of its weight. (a) Draw forces acting on the roller coaster at the top, at the bottom, and at a point halfway to the top of the loop (ignore friction) and write Newton's second law at each point. (b) Find the speed of the roller coaster at the top of the loop? (c) If the roller coaster moves with the constant speed calculated in part (b), what will be the force exerted by the track on it at the bottom of the track? (d) magnitude of the net force acting on it at the point halfway up the track. and

(Circular Motion) A roller coaster of mass m in an amusement park is about to take on a vertical loop of radius R. Upon reaching the top of the loop (when everybody is upside down), it is found that the force exerted by the track on the roller coaster is half the magnitude of its weight. (a) Draw forces acting on the roller coaster at the top, at the bottom, and at a point halfway to the top of the loop (ignore friction) and write Newton's second law at each point. (b) Find the speed of the roller coaster at the top of the loop? (c) If the roller coaster moves with the constant speed calculated in part (b), what will be the force exerted by the track on it at the bottom of the track? (d) magnitude of the net force acting on it at the point halfway up the track. and

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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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

(Circular Motion) A roller coaster of mass m in an amusement park is about to take on a vertical loop of
radius R. Upon reaching the top of the loop (when everybody is upside down), it is found that the force
exerted by the track on the roller coaster is half the magnitude of its weight.
(a) Draw forces acting on the roller coaster at the top, at the bottom, and at a point halfway to the top of the
loop (ignore friction) and write Newton's second law at each point.
(b) Find the speed of the roller coaster at the top of the loop?
(c) If the roller coaster moves with the constant speed calculated in part (b), what will be the force exerted
by the track on it at the bottom of the track?
(d) magnitude of the net force acting on it at the point halfway up the track.
and

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