A block rests on a frictionless horizontal surface and is attachedto a spring. When set into simple harmonic motion, the blockoscillates back and forth with an angular frequency of = 7.54 rad/s. The drawing below indicates theposition of the block when the spring is unstretched. That positionis labeled "x = 0 m" in the drawing. The drawing also shows a smallbottle whose left edge is located at Xb= 0.0799 m. The block is now pulled tothe right, stretching the spring by Xs= 0.0390 m, and is then thrown to theleft, i.e. given an initial push to the left. In order for theblock to knock over the bottle when it is moving to the right, itmust be "thrown" with an initial speed to the leftvo. Ignoring the width of the block, what isthe minimum value of vo?

minimum vo =


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