A sphere of mass $m$ is set in motion with initial velocity $v_o$ on a surface on which $kx^n$ is the frictional force with $k$ and $n$ as the constants and $x$ as the distance from the point of start. Find the distance in which sphere will stop
  • A${\left[ {\frac{{m{v^2}_0(n\, + \,1)}}{{2k}}} \right]^{1/(n + 1)}}$
  • B${\left[ {\frac{{m{v^2}_0}}{{2k}}} \right]^{1/(n - 1)}}$
  • C${\left[ {\frac{{2m{v^2}_0}}{{k}}} \right]^{1/(n - 1)}}$
  • D${\left[ {\frac{{m{v^2}_0}}{{2k(n - 1)}}} \right]^{1/(n - 1)}}$
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