A 25.0 kg block is connected to an empty 1.00 kg bucket by a cord running over a

Question

A 25.0 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 0.420 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.

A 25.0 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 0.420 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. Calculate the mass of sand added to the bucket. Calculate the acceleration of the system.

Explanation / Answer

a) T = (1 + m)g

and T = 0.420 x 25g   = (1 + m)g

m = 9.5 kg

b) (1 + 9.5)g - T = (1 + 9.5)a

T - 0.320 x 25g = 25a

add them

a = 0.690 m/s2

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