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?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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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  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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