An ideal spring of negligible mass with force constant of 400 N/m is placed on a frictionless horizonal table with one end fixed at a wall next to the table. A billiard ball of mass 200 g is pushed against the spring, compressing the spring to some distance. After the system is released, the spring returns to equilibrium with the billiard ball leaving the table's edge at 4.00 m/s and hits the floor 80 cm below. Using the principle of energy conservation, (a) determine the initial compression of the spring. (b) What is the speed of the ball when it hits the floor?
An ideal spring of negligible mass with force constant of 400 N/m is placed on a frictionless horizonal table with one end fixed at a wall next to the table. A billiard ball of mass 200 g is pushed against the spring, compressing the spring to some distance. After the system is released, the spring returns to equilibrium with the billiard ball leaving the table's edge at 4.00 m/s and hits the floor 80 cm below. Using the principle of energy conservation, (a) determine the initial compression of the spring. (b) What is the speed of the ball when it hits the floor?
Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Energy Of A System
Section: Chapter Questions
Problem 47AP: An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at...
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Answer provided. answer should be A.)8.94cm,B.)5.63m/s
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Transcribed Image Text:An ideal spring of negligible mass with force constant of 400 N/m is placed on a frictionless horizonal
table with one end fixed at a wall next to the table. A billiard ball of mass 200 g is pushed against the
spring, compressing the spring to some distance. After the system is released, the spring returns to
equilibrium with the billiard ball leaving the table's edge at 4.00 m/s and hits the floor 80 cm below.
Using the principle of energy conservation, (a) determine the initial compression of the spring. (b)
What is the speed of the ball when it hits the floor?
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