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The spring block system lies on a smooth horizontal surface. The free end of the spring is being pulled towards the right with constant speed . At , the spring of constant is unstretched and the block has a speed to left. The maximum extension of the spring will be

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In the frame (inertial w.r.t. earth) of the free end of spring, the initial velocity of the block is to left and the spring is unstretched.

Applying conservation of energy between initial and maximum extension state,

Applying conservation of energy between initial and maximum extension state,
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