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.
A 10.0 g marble slides to the left with a velocity of magnitude 0.400 m/sm/s on the frictionless, horizontal surface of an icy New York sidewalk and has a head-on, elastic collision with a larger 30.0 gg marble sliding to the right with a velocity of magnitude 0.200 m/sm/s. Let +x+x be to the right. (Since the collision is head-on, all the motion is along a line.)
What's the answer for all the parts A, B, C, D, E, G, H?
A 10 g block slides with a velocity of 20 cm/s on a smooth level surface and makes a collision with a 30 g block moving
in the opposite direction with a velocity of 10 cm/s. If the collision is perfectly elastic,
4. what is the velocity of the 30 g block after the collision?
a. 20 cm/s
c. 15 cm/s
b. 5 cm/s
d. 10c m/s
A small ball of mass m is aligned above a larger ball of mass M = 0.63 kg (with a slight separation), and the two are dropped simultaneously from a height of h = 1.8 m. (Assume that the radius of each ball is negligible relative to h). (a) If the larger ball rebounds elastically from the floor and then the small ball rebounds elastically from the larger ball, what value of m results in the larger ball stopping when it collides with the small ball? (b) What height does the small ball then reach?
Chapter 15 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
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