# Two steel balls, each of diameter 25.4 mm, moving in opposite directions at 5 m/s, run into each…

Two steel balls, each of diameter 25.4 mm, moving in opposite directions at 5 m/s, run into each other head-on and bounce apart. (a) Does their interaction last only for an instant or for a nonzero time interval? State your evidence. One of the balls is squeezed in a vise while precise measurements are made of the resulting amount of compression. The results show that Hookes law is a fair model of the balls elastic behavior. For one datum, a force of 16 kN exerted by each jaw of the vise results in a 0.2-mm reduction in the balls diameter. The diameter returns to its original value when

Two steel balls, each of diameter 25.4 mm, moving in opposite directions at 5 m/s, run into each other head-on and bounce apart. (a) Does their interaction last only for an instant or for a nonzero time interval? State your evidence. One of the balls is squeezed in a vise while precise measurements are made of the resulting amount of compression. The results show that Hookes law is a fair model of the balls elastic behavior. For one datum, a force of 16 kN exerted by each jaw of the vise results in a 0.2-mm reduction in the balls diameter. The diameter returns to its original value when the force is removed. (b) Modeling the ball as a spring, find its spring constant. (c) Compute an estimate for the kinetic energy of each of the balls before they collide. In your solution, explain your logic. (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. In your solution, explain your reasoning. (In Chapter 15, you will learn to calculate the contact time precisely in this model.)

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