A rock of mass m is tied to a string of length L and  swung in a horizontal circle of radius r. The string can with stand a maximum tension Tmax before it breaks. (a) What is the maximum speed vmax the rock can have without the string breaking? (b) The speed of the rock is now increased to 3vmax. The original single string is then replaced by N pieces that are all identical to the original string. What is the minimum value of N required so that the strings do not break? Ignore the force of gravity on the rock.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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A rock of mass m is tied to a string of length L and  swung in a horizontal circle of radius r. The string can with stand a maximum tension Tmax before it breaks. (a) What is the maximum speed vmax the rock can have without the string breaking? (b) The speed of the rock is now increased to 3vmax. The original single string is then replaced by N pieces that are all identical to the original string. What is the minimum value of N required so that the strings do not break? Ignore the force of gravity on the rock.

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