A uniform disc of mass \(0.5 \mathrm{~kg}\) and radius \(r\) is projected with velocity \(18 \ma....

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A uniform disc of mass \(0.5 \mathrm{~kg}\) and radius \(r\) is projected with velocity \(18 \mathrm{~m} / \mathrm{s}\) at \(t=0 \mathrm{~s}\) on a rough horizontal surface. It starts off with a purely sliding motion at \(t=0 \mathrm{~s}\). After \(2 \mathrm{~s}\) it acquires a purely rolling motion (see figure). The total kinetic energy of the disc after \(2 \mathrm{~s}\) will be \(\mathrm{J}\) (given, coefficient of friction is 0.3 and \(\left.g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)
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