A bucket of water with a mass of 8.0 kg is attached to a rope that is wound around a cylinder. The cylinder has a mass of 5.0 kg and is mounted horizontally on frictionless bearings. The bucket is released from rest.
(a) Find its speed after it has fallen through a distance of 0.30 m? _____ m/s
(b) What is the tension in the rope? ______ N
(c) What is the acceleration of the bucket?