A body of mass $m$ is moving in a circle of radius $r$ with a constant speed $v$. The force on the body is $\frac{mv^2}{r}$ and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle

  • A

    $\frac{{m{v^2}}}{r} \times \pi r$

  • B

    Zero

  • C

    $\frac{{m{v^2}}}{{{r^2}}}$

  • D

    $\frac{{\pi {r^2}}}{{m{v^2}}}$

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