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.