Question
A block of mass $m$ is pushed against a spring whose spring constant is $k$ fixed at one end with a wall. The block can slide on a frictionless table as shown in figure. If the natural length of spring is $L_0$ and it is compressed to half its length when the block is released, find the velocity of the block, when the spring has natural length

Answer

The energy stored in the spring when it is compressed to $\frac{\mathrm{L}_{0}}{2}$ is converted into kinetic energy of the block

$\frac{1}{2} m u^{2}=\frac{1}{2} k\left(\frac{L_{0}}{2}\right)^{2}$

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