### Problem Statement:Box A weighing 12 pounds is being dragged at the speed of 3 ft/s. Box B weighs 25 pounds. The kinetic coefficient (KC) for box A is 0.3. Please find:- The tension of the cable- The velocity of box A at \( t = 2 \) s### Diagram Explanation:- The diagram illustrates a physical setup where two boxes, A and B, are interconnected via a pulley system.- **Box A** is positioned on a horizontal surface and connected to a cable.- **Box B** is suspended vertically below the pulley.- The system is designed such that the movement of Box A horizontally relates to the vertical movement of Box B through the pulley.### Instructions:To solve for the tension in the cable and the velocity of Box A at time \( t = 2 \) seconds, apply the following physics principles:#### 1. Newton's Second Law:For Box A (on the horizontal plane, taking friction into account):\[ F_{\text{net\_A}} = m_A \cdot a_A \]\[ T - f_{\text{friction}} = m_A \cdot a_A \]where \( f_{\text{friction}} = \mu_k \cdot N \)\(\mu_k\) is the kinetic friction coefficient (0.3), and \( N \) is the normal force (equal to the weight of Box A).For Box B (moving vertically):\[ F_{\text{net\_B}} = m_B \cdot a_B \]\[ m_B \cdot g - T = m_B \cdot a_B \]#### 2. Friction Force Calculation:\[ f_{\text{friction}} = \mu_k \cdot m_A \cdot g \]where \( g \) is the acceleration due to gravity (typically \( 32.2 \) ft/s² in imperial units).#### 3. Equating Accelerations:Since the system is connected via a pulley, the accelerations \( a_A \) and \( a_B \) will be the same:\[ a_A = a_B \]#### 4. Tension Calculation:Solve the above set of equations to find the tension \( T \) in the cable.#### 5. Velocity Calculation:Determine the velocity of Box A at \( t = 2 \) seconds using

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Description: ### Problem Statement:Box A weighing 12 pounds is being dragged at the speed of 3 ft/s. Box B weighs 25 pounds. The kinetic coefficient (KC) for box A is 0.3. Please find:- The tension of the cable- The velocity of box A at \( t = 2 \) s### Diagram

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Answered: Box A weighing 12 pounds is being…

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Box A weighing 12 pounds is being dragged at the speed of 3 ft/s. Box B weighs 25 pounds. The KC for box A is 0.3. Please Find The tension of the cable The velocity of box A t=2 s B

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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