A (4.0-mathrm{kg}) bowling ball is thrown down the alley with a speed of (10.0 mathrm{~m} / mathrm{s}).

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A \(4.0-\mathrm{kg}\) bowling ball is thrown down the alley with a speed of \(10.0 \mathrm{~m} / \mathrm{s}\). At first the ball slides with no rotation. The coefficient of friction between ball and alley surface is 0.20 .

(a) How long a time interval does it take for the ball to achieve pure rolling motion? 

\((b)\) What is the ball's translational speed at the end of this time interval?

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