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.)
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.)
Solution Summary: The author explains the time interval for which the balls are in contact. The mass of each steel ball is 67.4g.
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.
The ball B shown in the figure has a mass of 1.5 kg and is suspended from the ceiling by a 1 m long elastic cord. If the cord is stretched downward 0.25 m and the ball is released from rest, determine how far the cord stretches after the ball rebounds from the ceiling. The stiffness of the cord is k = 800 N/m and the coefficient of restitution between the ball and ceiling is e = 0.8. The ball makes a central impact with the ceiling.
Two solid metal balls, M1 = 40 g and M2 = 60 g, are each suspended from 32 cm long chords in a Newton’s Cradle type arrangement as shown in the figure above. The lighter ball is pulled away so that it makes a 57 degrees angle with respect to the vertical and then released.
a) What is the maximum angle the heavier ball will make with respect to the vertical after the collision?
b) What is the maximum angle the lighter ball will make with respect to the vertical after the collision?
The massless spring of a spring gun has a force constant k=11.5N/cm. When the gun is aimed vertically, a 10-g projectile is shot to a height of 5.0 m above the end of the expanded spring. How much was the spring compressed initially?
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