A 28 kilogram block is connected to an empty 2.14 kilogram bucket by a cord running over a frictionless pulley. The coefficient of static friction between the block and the table is 0.47 and the coefficient of kinetic friction between the block and the table is 0.32. Sand is gradually added to the bucket until the system just begins to move. Neglect mass of cord.
1. Determine the mass of sand added to the bucket.
2. Determine the acceleration of the system.