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A 29.0 kg block is connected to an empty 1.00 kg bucket by a cord running over a

ID: 2005997 • Letter: A

Question


A 29.0 kg block is connected to an empty 1.00 kg bucket by a cord running over a frictionless pulley (Fig. 4-57). The coefficient of static friction between the table and the block is 0.410 and the coefficient of kinetic friction between the table and the block is 0.320. Sand is gradually added to the bucket until the system just begins to move.

Figure 4-57
(a) Calculate the mass of sand added to the bucket (Hint: Use the coefficient of static friction.)

(b) Calculate the acceleration of the system. (Hint: Use the coefficient of kinetic friction.)

Explanation / Answer

The bucket will move when the Fstatic = Fgravity2

So you take the coeffecient of static friction (.410)(29)-1=M3

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