Two identical steel balls, each of diameter 23.7 mm and moving in opposite directions at 2 m/s, run into each other head-on and bounce apart. prior to the collision, one of the balls is squeezed in a vise precise measurements are made of the resulting amount of compression. the results show that hooke's law is a fair model for the ball's elastic behavior. for one datum, a force of 20 kn exerted by each jaw of the vise results in a 0.5-mm reduction in the ball’s diameter. the diameter returns to its original value when the force is removed. modeling the ball as a spring, find its spring constant. a. modeling the ball as a spring, find the spring constant. b. does the interaction of the balls during the collision last only for an instant or for a nonzero time interval? c. compute an estimate for the kinetic energy of each of the balls before they collide. (assume the density of steel is 7860 kg/m3.)d. compute an estimate for the maximum amount of compression each ball undergoes when they collide. e. compute an order of magnitude estimate for the time interval for which the balls are in contact.

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.)

Find v(t), given acceleration a(t)=7j and initial velocity v(0)=k

The charge on an electron is 1.60218 × 10−19 c and its mass is 9.10939 × 10−31 kg. how strong a magnetic field must be experienced by the electron if its path is a circle of radius 5.5 cm? answer in units of t.