A $2 \mathrm{~kg}$ block slides on a horizontal floor with a speed of $4 \mathrm{~m} / \mathrm{s}$. It…

A $2 \mathrm{~kg}$ block slides on a horizontal floor with a speed of $4 \mathrm{~m} / \mathrm{s}$. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is $15 \mathrm{~N}$ and spring constant is $10,000 . \mathrm{N} / \mathrm{m}$. The spring compresses by
  1. $5.5 \mathrm{~cm}$
  2. $2.5 \mathrm{~cm}$
  3. $11.0 \mathrm{~cm}$
  4. $8.5 \mathrm{~cm}$

Solution

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Asked in: JEE Main 2007

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