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$\frac{{3m{v^2}}}{{4{x^2}}}$
  • B$\frac{{m{v^2}}}{{4{x^2}}}$
  • C$\frac{{m{v^2}}}{{2{x^2}}}$
  • D$\frac{{2m{v^2}}}{{{x^2}}}$
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