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Q.

Two block of masses $M and 2 M$ are connected to a light spring of spring constant $k$ that has one end fixed as shown in the fig. The blocks are released from the spring at its natural length. The maximum extension in the spring is $\frac{x M g}{k}$ then $x =$ __________

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answer is 4.

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Detailed Solution

$k_{f} - k_{i} = w_{g r} + w_{s p} + w_{t e n}$

$0 = 2 m g x - \frac{1}{2} k x^{2}$

$x = \frac{4 m g}{k}$

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