Blocks 1 and 2, with masses m1 = 4.0 kg and m2 =7.7 kg, respectively, sit on a frictionless table, connected by a lightweight, flexible cord. Block 2 is in turn connected to block 3 by a similar cord strung over a massless, frictionless pulley as shown. The tension in the cord connecting blocks 1 and 2 is 12 N. Determine the mass of block 3. (Answer in kg.)

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Chapter1: Units, Trigonometry. And Vectors
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**Text:**

Blocks 1 and 2, with masses \( m_1 = 4.0 \, \text{kg} \) and \( m_2 = 7.7 \, \text{kg} \), respectively, sit on a frictionless table, connected by a lightweight, flexible cord. Block 2 is in turn connected to block 3 by a similar cord strung over a massless, frictionless pulley as shown. The tension in the cord connecting blocks 1 and 2 is \( 12 \, \text{N} \).

Determine the mass of block 3. (*Answer in kg.*)

**Diagram Description:**

The diagram illustrates three blocks, labeled 1, 2, and 3. Blocks 1 and 2 are positioned on a horizontal surface, indicative of a frictionless table. The two are connected by a cord. Another cord extends from block 2, passing over a pulley, and connects to block 3, which is hanging vertically. The pulley depicted is massless and frictionless. The tension in the cord between blocks 1 and 2 is indicated as \( 12 \, \text{N} \).
Transcribed Image Text:**Text:** Blocks 1 and 2, with masses \( m_1 = 4.0 \, \text{kg} \) and \( m_2 = 7.7 \, \text{kg} \), respectively, sit on a frictionless table, connected by a lightweight, flexible cord. Block 2 is in turn connected to block 3 by a similar cord strung over a massless, frictionless pulley as shown. The tension in the cord connecting blocks 1 and 2 is \( 12 \, \text{N} \). Determine the mass of block 3. (*Answer in kg.*) **Diagram Description:** The diagram illustrates three blocks, labeled 1, 2, and 3. Blocks 1 and 2 are positioned on a horizontal surface, indicative of a frictionless table. The two are connected by a cord. Another cord extends from block 2, passing over a pulley, and connects to block 3, which is hanging vertically. The pulley depicted is massless and frictionless. The tension in the cord between blocks 1 and 2 is indicated as \( 12 \, \text{N} \).
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