A roller coaster of mass m (when filled with passengers) goes over the crest of a circularsection of track at speed v. The radius of the circular loop is r.a) Find a formula for the normal force of the track on the roller coaster, as a function ofm, g, v, and r.b) Find a formula for the speed at which the normal force goes to zero. (By the way, atthis speed, the roller coaster will start to lift off of the track and the passengers will feelcompletely weightless.)c) Let's put some numbers in the formula. If the curved track at the top of a crest is20 m (about 60 ft) in radius, find the speed in m/s and mi/hr at which the car would liftoff the track.

a) As we know that the force equation for the motion is :Fg-N=mv2rnow, its known that F=mg,…

Answered: A roller coaster of mass m (when filled…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.4P

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