Answer:[tex]W=\pi mv^2[/tex]
Explanation:
As we know work done is given by
[tex]W=\int_{0}^{\pi r}F.dx[/tex]
because we are taking only half a revolution
[tex]F(centripetal force )=\frac{mv^2}{r}[/tex]
[tex]W=\frac{mv^2}{r}\times \pi r[/tex]
[tex]W=\pi mv^2[/tex]
