•• P13 An elevator is accelerating upward at a rate of 3.2 m/s². A block of mass 30 kg hangs by a low-mass rope from the ceiling, and another block of mass 80 kg hangs by a low-mass rope from the upper block. (a) What are the tensions in the upper and lower ropes? (b) What are the tensions in the upper and lower ropes when the elevator accelerates downward at a rate of 3.2 m/s?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Problem P13: Elevator and Rope Tension Analysis**

An elevator is accelerating upward at a rate of \(3.2 \, \text{m/s}^2\). A block of mass \(30 \, \text{kg}\) hangs by a low-mass rope from the ceiling, and another block of mass \(80 \, \text{kg}\) hangs by a low-mass rope from the upper block. 

**(a)** What are the tensions in the upper and lower ropes?

**(b)** What are the tensions in the upper and lower ropes when the elevator accelerates downward at a rate of \(3.2 \, \text{m/s}^2\)?

*Explanation:*

- The problem involves understanding the forces acting on two blocks hanging in an accelerating system (the elevator).
- It requires calculating the tensions in the ropes based on different acceleration directions of the elevator.
Transcribed Image Text:**Problem P13: Elevator and Rope Tension Analysis** An elevator is accelerating upward at a rate of \(3.2 \, \text{m/s}^2\). A block of mass \(30 \, \text{kg}\) hangs by a low-mass rope from the ceiling, and another block of mass \(80 \, \text{kg}\) hangs by a low-mass rope from the upper block. **(a)** What are the tensions in the upper and lower ropes? **(b)** What are the tensions in the upper and lower ropes when the elevator accelerates downward at a rate of \(3.2 \, \text{m/s}^2\)? *Explanation:* - The problem involves understanding the forces acting on two blocks hanging in an accelerating system (the elevator). - It requires calculating the tensions in the ropes based on different acceleration directions of the elevator.
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