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JEE Main 202117 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Evening Shift
Subject
Physics
Chapter
Laws of Motion

JEE Main 2021 · 17 March · Evening Shift · Physics · Laws of Motion

Two identical blocks A and B each of mass m resting on the smooth...

Two identical blocks AA and BB each of mass mm resting on the smooth horizontal floor are connected by a light spring of natural length LL and spring constant KK. A third block CC of mass mm moving with a speed vv along the line joining AA and BB collides with AA.The maximum compression in the spring is

Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a light spring of

Options

  1. Avm2Kv\sqrt{\dfrac{m}{2K}}
  2. Bmv2K\sqrt{\dfrac{mv}{2K}}
  3. CmvK\sqrt{\dfrac{mv}{K}}
  4. Dm2K\sqrt{\dfrac{m}{2K}}

Correct answer

A. vm2Kv\sqrt{\dfrac{m}{2K}}

Step-by-step solution

CC comes to rest

Vcm{V}_{cm} of A and B=v2A \text{ and } B = \dfrac{v}{2}

⇒12⇒ \dfrac{1}{2} is vret2=12kx2{v}_{ret}^{2} = \dfrac{1}{2}k{x}^{2}

x=μ×v2k=m2k×vx = \sqrt{\dfrac{\mu \times {v}^{2}}{k}} = \sqrt{\dfrac{m}{2k}} \times v.

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