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