Problem: A 28.0-kg block is connected to an empty 2.30-kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.42 and the coefficient of kinetic friction between the table and the block is 0.29. Sand is gradually added to the bucket until the system just begins to move. Ignore mass of cord.
Part A: Calculate the acceleration of the system.
Please explain each step to determine the acceleration of the system.