Two blocks are connected by a light string that passes over a frictionless pulley as in the figure. The block of mass 9.84 kg lies on a horizontal surface and is connected to a spring of force constant 313 N/m. The system is released from rest when the spring is unstretched.
If the hanging 13.8 kg block falls a distance 0.633 m before coming to rest, calculate the coefficient of kinetic friction between the block m1 and the surface. The acceleration of gravity is 9.8 m/s^2.