5) A system composed of blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The coefficient of friction between the both blocks and the incline is 0.12. The 9.0-kg block accelerates downward when the system is released from rest. What is the acceleration of the system and the tension in the rope connecting the 6.0-kg block and the 4.0-kg block? [Answers: 1.53 m/s?, 44.7 N] 4.0 kg 6.0 kg 9.0 kg 30°

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**Problem 5:**

A system composed of blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The coefficient of friction between both blocks and the incline is 0.12. The 9.0-kg block accelerates downward when the system is released from rest. What is the acceleration of the system and the tension in the rope connecting the 6.0-kg block and the 4.0-kg block? 

**[Answers: 1.53 m/s², 44.7 N]**

**Diagram Explanation:**

- The diagram shows an inclined plane with an angle of 30°.
- Two blocks are situated on the incline: a 6.0 kg block and a 4.0 kg block, placed in sequence from the bottom to the top of the incline.
- A rope connects these two blocks and an additional rope is connected to a 9.0 kg block hanging vertically over the edge of the incline via a pulley.
- The pulley is depicted as frictionless, indicating that it does not add any resistance to the system beyond the friction on the incline.

**Objective:**

Determine the acceleration of the entire system and calculate the tension in the rope connecting the 6.0 kg block and the 4.0 kg block.
Transcribed Image Text:**Problem 5:** A system composed of blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The coefficient of friction between both blocks and the incline is 0.12. The 9.0-kg block accelerates downward when the system is released from rest. What is the acceleration of the system and the tension in the rope connecting the 6.0-kg block and the 4.0-kg block? **[Answers: 1.53 m/s², 44.7 N]** **Diagram Explanation:** - The diagram shows an inclined plane with an angle of 30°. - Two blocks are situated on the incline: a 6.0 kg block and a 4.0 kg block, placed in sequence from the bottom to the top of the incline. - A rope connects these two blocks and an additional rope is connected to a 9.0 kg block hanging vertically over the edge of the incline via a pulley. - The pulley is depicted as frictionless, indicating that it does not add any resistance to the system beyond the friction on the incline. **Objective:** Determine the acceleration of the entire system and calculate the tension in the rope connecting the 6.0 kg block and the 4.0 kg block.
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