A block of mass \( m_{1}=20.0 \mathrm{~kg} \) is connected to a block of mass \( m_{2}=30.0 \) \( \mathrm{kg} \) by a massless string that passes over a light, frictionless pulley. The \( 30.0-\mathrm{kg} \) block is connected to a spring that has negligible mass and a force constant of \( k=250 \mathrm{~N} / \mathrm{m} \) as shown in figure. The spring is unstretched when the system is as shown in the figure, and the incline is frictionless. The \( 20.0-\mathrm{kg} \) block is pulled a distance \( h=20.0 \mathrm{~cm} \) down the incline of angle \( \theta=30^{\circ} \) and released from rest. If the speed of each block when the spring is again unstretched is \( \frac{x}{\sqrt{5}} \mathrm{~m} / \mathrm{s} \). Find the value of \( x \).
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