Lou is trying to kill mice by swinging a clock of mass m attached to one end of a light (massless) stick 1.4 m in length hanging on a nail in the wall (Figure). The clock end of the stick is free to rotate around its other end in a vertical circle. Lou raises the clock until the stick is horizontal, and when mice peek their heads out from the hole to their den, he gives it an initial downward velocity v. The clock misses a mouse and continues on its circular path with just enough energy to complete the circle and bonk Lou on the back of his head, to the sound of cheering mice.

(a) What was the value of v?

(b) What was the clock's speed at the bottom of its swing?

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