A hoop of radius \( r \) weights \( m \mathrm{~kg} \). It rolls without sliding along a horizont...

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A hoop of radius \( r \) weights \( m \mathrm{~kg} \). It rolls without sliding along a horizontal floor so that its centre of mass has a speed \( v \) \( \mathrm{m} / \mathrm{s} \). How much work has to be done to stop it?
(A) \( \frac{1}{2} m v^{2} \)
(R) \( m v^{2} \)
(C) \( 2 m v^{2} \)
(D) \( \frac{1}{3} m v^{2} \)
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