Alight elastic string, of natural length / and modulus 6 mg, has one end attached to a fixed point o, and to the other end is attached a particle p of mass m. the particle is held at rest at a point a vertically below 0, where 04 = 31/2, and is then released. by energy considerations, or otherwise, show that p is next at rest when it is at a distance 31/4 below 0. show that if the length of the string is i at time i after relcase and before the string becomes slack, then where wa = 6g/l. by making the substitution 1 = y + 1/6, or otherwise, show that the string first becomes slack when 1 271(30).

Use the frequency histogram to complete the following parts. ​(a) identify the class with the​ greatest, and the class with the​ least, relative frequency. ​(b) estimate the greatest and least relative frequencies. ​(c) describe any patterns with the data. female fibula lengths 30.5 31.5 32.5 33.5 34.5 35.5 36.5 37.5 38.5 39.5 0 0.05 0.1 0.15 0.2 0.25 length (in centimeters) relative frequency a histogram titled "female fibula lengths" has a horizontal axis labeled "length in centimeters" from 30.5 to 39.5 in increments of 1 and a vertical axis labeled "relative frequency" from 0 to 0.25 in increments of 0.05. the histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. the approximate heights of the vertical bars are listed as follows, where the label is listed first and the approximate height is listed second: 30.5, 0.02; 31.5, 0.04; 32.5, 0.05; 33.5, 0.13; 34.5, 0.22; 35.5, 0.25; 36.5, 0.13; 37.5, 0.06; 38.5, 0.09; 39.5, 0.01. ​(a) the class with the greatest relative frequency is nothing to nothing centimeters. ​(type integers or decimals. do not round. use ascending​ order.)

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Why does lightning travel from clouds to the ground?