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A 1-kg mass is attached to the end of a spring of spring constant k = 10 N/m and natural length l₀ = 5 m (position is shown in meters and time is shown in seconds). You are to set the spring in motion by setting its initial position (x₀, 0) and its initial velocity (0, v_0y). Restart.

1. Find the v_0y needed for circular motion at a radius of 10 m (the red circle).
2. Determine the period of such a motion.