A spring with spring constant k stands vertically, and a mass m is placed on top of it. The mass is gradually lowered to its equilibrium position. With the spring held at this compression length, the system is rotated to a horizontal position. The left end of spring is attached to a wall, and the mass is placed on a table with coefficient of kinentic friction μ = 1/8. The mass is released. (a) what is the initial compression of the spring? (b) How much does the maximal stretch (or compression) of the spring decrease after each half-oscillation? (c) How many times does the mass oscillate back and forth before coming to rest?