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Two blocks sit on a horizontal frictionless surface connected to an ideal spring. Initially everything is at rest and there is a string compressing the mass spring system from equilibrium. At some time after the string is cut, the block of mass $2 M$ reaches its maximum kinetic energy $K$ . What maximum kinetic energy does the block of mass $M$ attain in terms of $K$ ?

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$\frac{1}{4} K$

$\frac{1}{2} K$

$K$

$2 K$

answer is D.

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Detailed Solution

$p_{1} = p_{2} = p K_{1} = \frac{p^{2}}{2 M} K_{2} = K = \frac{p^{2}}{2 \times 2 M} \Rightarrow K_{1} = 2 K$

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