Finding the largest value of the coefficient of friction that would allow the block to reach the equilibrium position

Question:
A 0.260-kg block resting on a frictionless, horizontal surface is attached to a spring whose force constant is 83.8 N/m. A horizontal force F with arrow causes the spring to stretch a distance of 4.81 cm from its equilibrium position.

Magnitude of F: 4.03N
Total E stored in system: 0.09694J
Magnitude of the acceleration of the block immediately after the applied force is removed: 15.5
speed of the block when it first reaches the equilibrium: 0.86

Question

Finding the largest value of the coefficient of friction that would allow the block to reach the equilibrium position

Question:
A 0.260-kg block resting on a frictionless, horizontal surface is attached to a spring whose force constant is 83.8 N/m. A horizontal force F with arrow causes the spring to stretch a distance of 4.81 cm from its equilibrium position.

Magnitude of F: 4.03N
Total E stored in system: 0.09694J
Magnitude of the acceleration of the block immediately after the applied force is removed: 15.5 
speed of the block when it first reaches the equilibrium: 0.86