A 28.0-kg block is connected to an empty 2.60-kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.47 and the coefficient of kinetic friction between the table and the block is 0.26. Sand is gradually added to the bucket until the system just begins to move. Ignore mass of cord. Calculate the mass of sand added to the bucket and acceleration of the system

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
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A 28.0-kg block is connected to an empty 2.60-kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.47 and the coefficient of kinetic friction between the table and the block is 0.26. Sand is gradually added to the bucket until the system just begins to move. Ignore mass of cord.

Calculate the mass of sand added to the bucket and acceleration of the system.

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