A spring with spring constant k stands vertically, and a massm is placed on top of it. The mass is gradually lowered toits equilibrium position. With the spring held at thiscompression length, the system is rotated to a horizontalposition. The left end of spring is attached to a wall, andthe mass is placed on a table with coefficient of kinentic frictionμ = 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 thespring decrease after each half-oscillation?
(c) How many times does the mass oscillate back and forthbefore coming to rest?