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A block with mass m₁-9 Kg rests on the surface of horizontal table which has a coefficient of kinetic friction of μk=0.7. A second block with a mass of m₂-10 Kg is connected to the first by an ideal pulley system such that the second block is hanging vertically. The second block is released and motion occurs. Using the variable T to represent tension, write an expression for the sum of the forces in the y- direction, Fy, for the block2. Using the variable T to represent tension, write an expression for the sum of the forces in the x- direction, F, for the block1. What is the T in newton? What is the acceleration of each block? m1 O m2

A block with mass m₁-9 Kg rests on the surface of horizontal table which has a coefficient of kinetic friction of μk=0.7. A second block with a mass of m₂-10 Kg is connected to the first by an ideal pulley system such that the second block is hanging vertically. The second block is released and motion occurs. Using the variable T to represent tension, write an expression for the sum of the forces in the y- direction, Fy, for the block2. Using the variable T to represent tension, write an expression for the sum of the forces in the x- direction, F, for the block1. What is the T in newton? What is the acceleration of each block? m1 O m2

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Physics Problem: Pulley and Block System** A block with mass \( m_1 = 9 \, \text{Kg} \) rests on the surface of a horizontal table, which has a coefficient of kinetic friction of \( \mu_k = 0.7 \). A second block with a mass of \( m_2 = 10 \, \text{Kg} \) is connected to the first block by an ideal pulley system such that the second block is hanging vertically. The second block is released, and motion occurs. 1. **Expression for Forces:** - **Block 2 (Vertical Forces):** Using the variable \( T \) to represent tension, write an expression for the sum of the forces in the y-direction, \( \Sigma F_y \), for block 2. - **Block 1 (Horizontal Forces):** Using the variable \( T \) to represent tension, write an expression for the sum of the forces in the x-direction, \( \Sigma F_x \), for block 1. 2. **Questions:** - What is the tension \( T \) in newtons? - What is the acceleration of each block? **Diagram Explanation:** The diagram shows two blocks connected by a rope over a pulley: - **Block \( m_1 \):** Positioned on a flat horizontal surface (table), with a rope connected horizontally. - **Block \( m_2 \):** Hanging vertically, with the rope passing over a pulley. The system's motion is initiated by the gravitational force on \( m_2 \), overcoming friction on \( m_1 \). Calculate the tension \( T \) and acceleration by taking into account gravitational force, tension, and friction.
Transcribed Image Text:**Physics Problem: Pulley and Block System** A block with mass \( m_1 = 9 \, \text{Kg} \) rests on the surface of a horizontal table, which has a coefficient of kinetic friction of \( \mu_k = 0.7 \). A second block with a mass of \( m_2 = 10 \, \text{Kg} \) is connected to the first block by an ideal pulley system such that the second block is hanging vertically. The second block is released, and motion occurs. 1. **Expression for Forces:** - **Block 2 (Vertical Forces):** Using the variable \( T \) to represent tension, write an expression for the sum of the forces in the y-direction, \( \Sigma F_y \), for block 2. - **Block 1 (Horizontal Forces):** Using the variable \( T \) to represent tension, write an expression for the sum of the forces in the x-direction, \( \Sigma F_x \), for block 1. 2. **Questions:** - What is the tension \( T \) in newtons? - What is the acceleration of each block? **Diagram Explanation:** The diagram shows two blocks connected by a rope over a pulley: - **Block \( m_1 \):** Positioned on a flat horizontal surface (table), with a rope connected horizontally. - **Block \( m_2 \):** Hanging vertically, with the rope passing over a pulley. The system's motion is initiated by the gravitational force on \( m_2 \), overcoming friction on \( m_1 \). Calculate the tension \( T \) and acceleration by taking into account gravitational force, tension, and friction.
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