A System Comprised Blocks, a Light Frictionless Pulley, and Connecting

question 20

Multiple Choice

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 μk = 0.30 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

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Definitions:

Fallacy

A fault in logical judgment that causes an argument to be invalid or not based on sound reasoning.

Denying Antecedent

A logical fallacy involving the incorrect assumption that the falsehood of a premise invalidates the conclusion, particularly in conditional reasoning.

Hypothetical Syllogism

A logical argument involving two conditional statements and a conclusion that logically follows from them.

Formalize

The act of expressing an idea, argument, or process in a precise, often mathematical or logical, form.