Multiple-Object Systems with Friction: a System Comprised Blocks, a Light

Multiple-object systems with friction: 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 μ_k = 0.30 between it and the 9-kg block. 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

Correct Answer:

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