A system comprised blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The 9.0-kg block is on a perfectly smooth horizontal table.
The surfaces of the 12-kg block are rough, with between the block and the table. If the 5.0-kg block accelerates downward when it is released, find its acceleration.
A) 1.0 m/s2
B) 1.2 m/s2
C) 1.4 m/s2
D) 1.6 m/s2
E) 1.8 m/s2
Question 2
Block A of mass 5.0 kg and block X are attached to a rope which passes over a pulley, as shown in the figure. An 80-N force P is applied horizontally to block A, keeping it in contact with a rough vertical face.
The coefficients of static and kinetic friction between the wall and block A are s = 0.40 and k = 0.30. The pulley is light and frictionless. The mass of block X is adjusted until block A moves upward with an acceleration of 1.6 m/s2. What is the mass of block X?
A) 9.9 kg
B) 9.3 kg
C) 8.7 kg
D) 8.1 kg
E) 7.5 kg
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