A block of mass $m$ moving with speed $v$ compresses a spring through distance $x$ before its speed is halved. What is the value of spring constant ?

  • A

    $\frac{3mv^2}{4x^2}$

  • B

    $\frac{mv^2}{4x^2}$

  • C

    $\frac{mv^2}{2x^2}$

  • D

    $\frac{2mv^2}{x^2}$

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