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Question: Answered & Verified by Expert
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 V0=2 m s-1. At t=0 s, the spring of constant k=100 N cm-1 is unstretched and the block has a speed 1 m s-1 to left. The maximum extension of the spring will be


PhysicsOscillationsJEE Main
Options:
  • A cm
  • B 4 cm
  • C 6 cm
  • D 8 cm
Solution:
2137 Upvotes Verified Answer
The correct answer is: 6 cm
In the frame (inertial w.r.t. earth) of the free end of spring, the initial velocity of the block is m/s to left and the spring is unstretched.




Applying conservation of energy between initial and maximum extension state,

12mV2=12kA2

A=mk V=410000×3=6 cm 

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