A ball is attached to one end of a string with a length of 18 cm, while the other end is anchored at a fixed point O. The ball rotates in a horizontal circle as depicted. The string's maximum tension capacity is 3.70 times the ball's weight before it risks breaking. Determine the highest speed in meters per second at which the ball can rotate without causing the string to snap. [Assume there is no air resistance, and the acceleration due to gravity is 9.80 m/s²].

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter6: Momentum And Collisions
Section: Chapter Questions
Problem 3WUE: Math Review (a) Solve the equation 7.20 103 m/s = (4.20 103 m/s) ln (Mi/Mf) for the fraction...
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A ball is attached to one end of a string with a length of 18 cm, while the other end is anchored at a fixed point O. The ball rotates in a horizontal circle as depicted. The string's maximum tension capacity is 3.70 times the ball's weight before it risks breaking. Determine the highest speed in meters per second at which the ball can rotate without causing the string to snap. [Assume there is no air resistance, and the acceleration due to gravity is 9.80 m/s²].

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