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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?

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