The illustrated system models a children\'s toy. When the 0.2 kg block labeled A

Question

The illustrated system models a children's toy. When the 0.2 kg block labeled A is pushed down, the linear spring is fully compressed and locked. After 10 s the spring unlocks, extends, and projects A upward. The force needed to compress the spring is given by F =kx, where x: is the spring's compression (given in meters) and k: = 981N /m. The spring has an uncompressed length of 0.08 m. Assume that when fully compressed it has a length of zero. After the spring's release, what is the speed of block A at the point that the spring has extended itself back to 0.08 m in length?

Explanation / Answer

from conservation of energy: .5*981*.08^2 = .5*.2*v^2 so v = 5.60 m/sec

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