A spring of stiffness 126 N/m (initially unstretched) is attached to a mass 6 kg on a frictionless table.  This mass is connected to another via a rope to a 3 kg dangling mass.  The dangling mass is given a downward velocity of 5 m/s.  Calculate the maximum extension of the spring, in m. (Please answer to the fourth decimal place - i.e 14.3225)

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.9P: A particle of mass m is at rest at the end of a spring (force constant = k) hanging from a fixed...
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A spring of stiffness 126 N/m (initially unstretched) is attached to a mass 6 kg on a frictionless table.  This mass is connected to another via a rope to a 3 kg dangling mass.  The dangling mass is given a downward velocity of 5 m/s.  Calculate the maximum extension of the spring, in m.

(Please answer to the fourth decimal place - i.e 14.3225)

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