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GATE ME 2020 Set 1 — Question 39

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MCQ+2 / -0.67HardLinear & Angular Impulse-MomentumDynamicsEngineering MechanicsWork-Energy Formulation

Engineering Mechanics → Dynamics → Linear & Angular Impulse-Momentum

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Question

The 2 kg2\text{ kg} block shown in figure (top view) rests on a smooth horizontal surface and is attached to a massless elastic cord that has a stiffness 5 N/m5\text{ N/m}.
Top view of a block on a horizontal surface attached to an elastic cord of length 0.5 m, given an initial velocity v = 1.5 m/s
The cord hinged at O is initially unstretched and always remains elastic. The block is given a velocity vv of 1.5 m/s1.5\text{ m/s} perpendicular to the cord. The magnitude of velocity in m/s\text{m/s} of the block at the instant the cord is stretched by 0.4 m0.4\text{ m} is
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