9th Edition

ISBN: 8220100461262

Author: SERWAY

Publisher: Cengage Learning US

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Chapter 15, Problem 15.83AP

Two identical steel balls, each of mass 67.4 g, are moving in opposite directions at 5.00 m/s. They collide head-on and bounce apart elastically. By squeezing one of the balls in a vise while precise measurements are made of the resulting amount of compression, you find that Hooke’s law is a good model of the ball’s elastic behavior. A force of 16.0 kN exerted by each jaw of the vise reduces the diameter by 0.200 mm. 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. (If yon solved Problem 57 in Chapter 7, compare your results from this problem with your results from that one.)

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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Chapter 15, Problem 15.82AP

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Chapter 15 Solutions

EBK PHYSICS FOR SCIENTISTS AND ENGINEER

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Solution Summary: The author explains the time interval for which the balls are in contact. The mass of each steel ball is 67.4g.

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