### Determine the distance it travels before it starts

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##### Reference no: EM13217934

A bowling ball is thrown onto a lane with a backspin 0 and forward velocity v0. The mass of the ball is m, its radius is r, its radius of gyration is kG, and the coefficient of kinetic friction between the ball and the lane is (mu)K. Assume that the mass center G is at the geometric center of the ball. For a 14 lb bowling ball with r = 4.25 inches, kG = 2.6 inches, (omega)0 = 10 rad/sec, and v0 = 17 mph, determine the time it takes for the ball to start rolling without slip and its speed when it does so. In addition, determine the distance it travels before it starts rolling without slip. Assume (mu)K = 0.10.

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