A roller-coaster car has a mass of 1110kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 22m, its speed is constant at 8m/s. What is the maximum possible speed the roller-coaster can travel without losing contact with the track at the top of the hill?

A roller-coaster car has a mass of 1110kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 22m, its speed is constant at 8m/s. What is the maximum possible speed the roller-coaster can travel without losing contact with the track at the top of the hill?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 12OQ

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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.

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A roller-coaster car has a mass of 1110kg when fully loaded with passengers. As the car
passes over the top of a circular hill of radius 22m, its speed is constant at 8m/s.
What is the maximum possible speed the roller-coaster can travel without
losing contact with the track at the top of the hill?

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