0 6. Consider a spring with an original length lo and a spring constant k. The upper end is anchored, and an object with mass m is suspended from the lower end. Initially, the spring is held in place to prevent any stretching. (a) When the object is gradually lowered, find the maximum extension of the spring and the corresponding spring force it exerts when it comes to rest at the equillibrium position. (b) If the object is suddenly released, find the extension and the spring force of the spring when the object reaches its lowest position. Additionally, find the object's speed as it passes through the equillibrium position.