A ball of mass $4\, kg$, moving with a velocity of $10\, ms ^{-1}$, collides with a spring of length $8\, m$ and force constant $100\, Nm ^{-1}$. The length of the compressed spring is $x\, m$. The value of $x$, to the nearest integer, is ........ .

  • [JEE MAIN 2021]
  • A

    $4$

  • B

    $9$

  • C

    $6$

  • D

    $12$

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