Two steel balls, each of diameter 25.4 mm, move in opposite directions at 5.00 m/s. They collide…

Two steel balls, each of diameter 25.4 mm, move in opposite directions at 5.00 m/s. They collide head-on and bounce apart elastically. (a) Does their interaction last only for an instant or for a nonzero time interval? State your evidence. (b) One of the balls is squeezed in a vise while precise measurements are made of the resulting amount of compression. Assume Hookes law is a good model of the balls elastic behavior. For one datum, a force of 16.0 kN exerted by each jaw of the vise reduces the diameter by 0.200 mm. Modeling the ball as a spring, find its spring constant. (c) Assume the

Two steel balls, each of diameter 25.4 mm, move in opposite directions at 5.00 m/s. They collide head-on and bounce apart elastically. (a) Does their interaction last only for an instant or for a nonzero time interval? State your evidence. (b) One of the balls is squeezed in a vise while precise measurements are made of the resulting amount of compression. Assume Hookes law is a good model of the balls elastic behavior. For one datum, a force of 16.0 kN exerted by each jaw of the vise reduces the diameter by 0.200 mm. Modeling the ball as a spring, find its spring constant. (c) Assume the balls have the density of iron. Compute the kinetic energy of each ball before the balls collide. (d) Model each ball as a particle with a massless spring as its front bumper. Let the particle have the initial kinetic energy found in part (c) and the bumper have the spring constant found in part (b). Compute the maximum amount of compression each ball undergoes when the balls collide. (e) Model the motion of each ball, while the balls are in contact, as one half of a cycle of simple harmonic motion. Compute the time interval for which the balls are in contact.

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