Please show all work **Problem 18: Physics - Mechanics**An object with mass \( M_1 = 8 \, \text{kg} \) rests on a frictionless horizontal table. It is connected by a cable that passes over a pulley and is then fastened to a hanging object with mass \( M_2 = 12 \, \text{kg} \). As shown in the figure, find the acceleration of each object and the tension in the cable. **Answer:**- Acceleration \( a = 5.88 \, \text{m/s}^2 \)- Tension \( T = 47.1 \, \text{N} \)**Diagram Explanation:**The diagram accompanying this problem depicts a horizontal table with object \( M_1 \) on it, connected by a cable to a pulley at the edge of the table. The cable hangs vertically over the side of the table, attached to object \( M_2 \), which hangs freely. The setup illustrates a typical pulley system used to analyze forces and motion in physics. **Problem Statement:**An object with mass \( M_1 = 2 \, \text{kg} \) rests on a rough horizontal table. The coefficient of kinetic friction is 0.25 between the block and the table. This object is connected by a string that passes over a pulley and is fastened to a hanging object with mass \( M_2 = 4 \, \text{kg} \). As shown in the figure, (a) find the acceleration of each object and (b) the tension in the cable.**Diagram Description:**The diagram illustrates a pulley system. - A block labeled \( M_1 \) (mass 2 kg) is positioned on a horizontal surface to the left of a pulley.- The surface is noted as being rough, implying the presence of friction.- A string connects \( M_1 \) over the pulley to another block labeled \( M_2 \) (mass 4 kg), which hangs vertically.**Note:** The force of friction, the tension in the string, the gravitational forces on the blocks, and the direction of acceleration should be considered to solve the problem.

18. Given: The mass of the first block 8 kg. The mass of the second block is 12 kg.

18. An object with mass M1= 8 Kg rests on a frictionless horizontal table and is connected by a cable that passes over a pulley and is then fastened to a hanging object with mass M2-12kg. As shown in the figure.(a) Find the acceleration of each object and tension in the cable (Ans: a= 5.88m/s T=47.1N) M1 Ma

18. An object with mass M1= 8 Kg rests on a frictionless horizontal table and is connected by a cable that passes over a pulley and is then fastened to a hanging object with mass M2-12kg. As shown in the figure.(a) Find the acceleration of each object and tension in the cable (Ans: a= 5.88m/s T=47.1N) M1 Ma

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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Question

Please show all work

**Problem 18: Physics - Mechanics**

An object with mass \( M_1 = 8 \, \text{kg} \) rests on a frictionless horizontal table. It is connected by a cable that passes over a pulley and is then fastened to a hanging object with mass \( M_2 = 12 \, \text{kg} \). As shown in the figure, find the acceleration of each object and the tension in the cable.

**Answer:**
- Acceleration \( a = 5.88 \, \text{m/s}^2 \)
- Tension \( T = 47.1 \, \text{N} \)

**Diagram Explanation:**

The diagram accompanying this problem depicts a horizontal table with object \( M_1 \) on it, connected by a cable to a pulley at the edge of the table. The cable hangs vertically over the side of the table, attached to object \( M_2 \), which hangs freely. The setup illustrates a typical pulley system used to analyze forces and motion in physics.

**Problem Statement:**

An object with mass \( M_1 = 2 \, \text{kg} \) rests on a rough horizontal table. The coefficient of kinetic friction is 0.25 between the block and the table. This object is connected by a string that passes over a pulley and is fastened to a hanging object with mass \( M_2 = 4 \, \text{kg} \). As shown in the figure, (a) find the acceleration of each object and (b) the tension in the cable.

**Diagram Description:**

The diagram illustrates a pulley system.

- A block labeled \( M_1 \) (mass 2 kg) is positioned on a horizontal surface to the left of a pulley.
- The surface is noted as being rough, implying the presence of friction.
- A string connects \( M_1 \) over the pulley to another block labeled \( M_2 \) (mass 4 kg), which hangs vertically.

**Note:** The force of friction, the tension in the string, the gravitational forces on the blocks, and the direction of acceleration should be considered to solve the problem.

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