(Solution) - A 4 00 m length of light nylon cord is wound -(2025 Original AI-Free Solution)

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A 4.00-m length of light nylon cord is wound around a uniform cylindrical spool of radius 0.500 m and mass 1.00 kg. The spool is mounted on a frictionless axle and is initially at rest. The cord is pulled from the spool with a constant acceleration of magnitude 2.50 m/s2.
(a) How much work has been done on the spool when it reaches an angular speed of 8.00 rad/s?
(b) Assuming there is enough cord on the spool, how long does it take the spool to reach this angular speed?
(c) Is there enough cord on the spool?