A nylon string is rated to withstand a force/tension of 100 N. A boy decided to play with this string to whirl a 0.8-kg object in a horizontal circle of radius 3.5 m. As the boy increases the speed of the object, up to which speed the string will remain intact? At that moment, what is the centripetal acceleration of the object? Suppose the boy decided to break the object in half (the new mass become half the original mass), and extend the string radius to 7 m using the same quality string (to withstand 100 N force). What changes will occur to the maximum circular velocity and centripetal acceleration?

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Circular Motion And Other Applications Of Newton’s Laws
Section: Chapter Questions
Problem 6.38AP: The mass of a roller-coaster car, including its passengers, is 500 kg. Its speed at the bottom of...
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  1. A nylon string is rated to withstand a force/tension of 100 N. A boy decided to play with this string to whirl a 0.8-kg object in a horizontal circle of radius 3.5 m. 
    1. As the boy increases the speed of the object, up to which speed the string will remain intact?
    2. At that moment, what is the centripetal acceleration of the object?
    3. Suppose the boy decided to break the object in half (the new mass become half the original mass), and extend the string radius to 7 m using the same quality string (to withstand 100 N force). What changes will occur to the maximum circular velocity and centripetal acceleration?

 

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