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27 Nov 2019

A roller coaster car of mass 310 kg travels around ahorizontalcurve of radius 30 m. Its speed is 14 m/s. What isthemagnitude and direction of the total force exerted on the carbythe track?

Magnitue: ___ N
Direction ___ degrees above horizontal

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Bunny Greenfelder
Bunny GreenfelderLv2
12 Feb 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Your firm is designing a new roller-coaster ride. The permitprocess requires the calculation of forces and accelerations atvarious important locations on the ride. Each roller-coaster carwill have a total mass (including passengers) of 800 kg and willtravel freely along the winding frictionless track shown in thefigure below. Points A, E, and G are on horizontal straightsections, all at the same height of 10 m above the ground. Point Cis at a height of 10 m above the ground on an inclined section ofslope angle 30°. Point B is at the crest of a hill, while point Dis at ground level at the bottom of a valley; the radius ofcurvature at both of these points is 20 m. Point F is at the middleof a banked horizontal curve with a radius of curvature of 35 m andat the same height as points A, E, and G. At point A the speed ofthe car is 11.1 m/s.

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(c) What will be the acceleration of the car at point C?
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(d) What will be the magnitude and direction of the force exertedby the track on the car at point D?
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(e) What will be the magnitude and direction of the force exertedby the track on the car at point F?
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(f) At point G a constant braking force is to be applied to thecar, bringing it to a halt in a distance of 30 m. What is themagnitude of this required braking force?
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You are swinging your younger sister in a horizontal circle ofradius 0.80 m. Her mass is 21 kg and you arrange it so she makesone revolution every 1.5 s.

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Force A points at 30 degrees above the horizontal direction and has a magnitude of 100 N. Force B points at 53.1 degrees below the horizontal direction and has a magnitude of 200 N. Determine the magnitude and direction of the acceleration of an object of mass 5.0 kg subject only to the sum of these two forces.

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