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Two blocks, of masses \( M \) and \( 2 M \), are connected to a light spring of spring constant ...
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Two blocks, of masses \( M \) and \( 2 M \), are connected to a light spring of spring constant \( K \) that has one end fixed, as shown in figure. The horizontal surface and the pulley are frictionless. The blocks are released from rest when the spring is non-deformed. The string is light. Select the correct statement(s).
(1) Maximum extension in the spring is \( \frac{4 M g}{K} \)
(2) Maximum kinetic energy of the system is \( \frac{2 M^{2} g^{2}}{K} \)
(3) Maximum energy stored in the spring is four times that of maximum kinetic energy of the system
(4) When kinetic energy of the system is maximum energy stored in the spring is \( \frac{4 M^{2} g^{2}}{K} \)
(1) Maximum extension in the spring is \( \frac{4 M g}{K} \)
(2) Maximum kinetic energy of the system is \( \frac{2 M^{2} g^{2}}{K} \)
(3) Maximum energy stored in the spring is four times that of maximum kinetic energy of the system
(4) When kinetic energy of the system is maximum energy stored in the spring is \( \frac{4 M^{2} g^{2}}{K} \)