what is the velocity of the block vf in m/s?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 15P: A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure...
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A block of mass m = 11.54 kg on a rough horizontal surface is attached to a light spring with spring/force constant k = 2.17  kN/m with the other end fixed. The block is pulled xi­ = 7.66 cm to the right from the equilibrium point and released from the rest. The coefficient of kinetic friction between the block and the rough horizontal surface is μk = 0.2. When the block passes through the equilibrium point, what is the velocity of the block vf in m/s? Keep three significant figures for the answer. g = 9.80 m/s2.
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