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NEET 2012 (AIPMT, Prelims) · Spring & Elastic Energy

Spring & Elastic Energy question from NEET 2012 (AIPMT, Prelims)

Q25NEET 2012 · AIPMT · PRELIMSMedium

Spring & Elastic Energy

A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 m s−1{}^{-1}. It collides with a horizontal spring of force constant 200 N m−1{}^{-1}. The maximum compression produced in the spring will be

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Answer: (b)

  1. Rolling solid cylinder: KE=12mv2+12⋅12mr2ω2=34mv2KE = \frac{1}{2}mv^2 + \frac{1}{2}\cdot\frac{1}{2}mr^2\omega^2 = \frac{3}{4}mv^2.
  2. KE=34(3)(42)=36KE = \frac{3}{4}(3)(4^2) = 36 J
  3. 12(200)x2=36⇒x2=0.36\frac{1}{2}(200)x^2 = 36 \Rightarrow x^2 = 0.36
  4. So the answer is (b) 0.60.6 m.
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