### Pulley System for Construction Waste Management#### Diagram DescriptionThe provided diagram illustrates a pulley system designed to transfer construction waste from an elevated building level to the ground. It consists of two buckets suspended across a pulley. The sequential process, from left to right, details the initial state, mid-motion state, and final state of the buckets.- **Left Diagram:** The left bucket (labeled "1") starts at ground level, and the right bucket (labeled "2") is suspended at a height of 4.6 meters. The left bucket has a mass of 13.5 kg, and the right bucket has a mass of 17.5 kg.- **Middle Diagram:** Both buckets are in mid-motion as they move due to the weight difference. - **Right Diagram:** The right bucket ("2") has descended to ground level, and the left bucket ("1") is elevated to 4.6 meters.#### Problem StatementAt the beginning (as depicted in the left diagram), the left bucket (13.5 kg) is at ground level, and the right bucket (17.5 kg) is at a height of 4.6 meters. Once the construction worker releases the right bucket, the system starts to move. Ignoring friction, the task is to determine the speed of the buckets at the moment the right bucket is about to hit the ground (as shown in the right diagram).#### Detailed Explanation1. **Initial State:** - Left bucket (1) mass: 13.5 kg (ground level) - Right bucket (2) mass: 17.5 kg (4.6 m high) 2. **Motion Dynamics:** - The right bucket (heavier mass) will descend due to gravity, causing the left bucket to rise. - As the buckets move, the potential energy of the right bucket is converted into kinetic energy and the potential energy of the left bucket increases.3. **Final State:** - At the final moment, both buckets will have the same speed due to the conservation of momentum in the pulley system.#### Calculation (not shown in the diagram)To find the speed:- Use the principle of conservation of energy: - Initial potential energy of the system = Potential energy of the right bucket (since the left bucket is at ground level) - Final kinetic energy of the system = Combined kinetic energy of the moving buckets- Set up

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Description: ### Pulley System for Construction Waste Management#### Diagram DescriptionThe provided diagram illustrates a pulley system designed to transfer construction waste from an elevated building level to the ground. It consists of two buckets suspended a

Given, Mass of the bucket 1, m1=13.5 kg Mass of the bucket 2, m2=17.5 kg Height, h=4.6 m

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2 1 12 1 2 A pulley with two buckets are set up to pass construction waste from a building under remodeling to the ground level. At the beginning (left diagram) the left bucket has mass 13.5 kg and sits at ground level. The right bucket has mass 17.5 kg and sits at 4.6 m high. The construction worker in the building then let go of the right bucket so the buckets start to move. Ignore friction, how fast are the buckets when the right bucket is about to hit the ground (right diagram)?

2 1 12 1 2 A pulley with two buckets are set up to pass construction waste from a building under remodeling to the ground level. At the beginning (left diagram) the left bucket has mass 13.5 kg and sits at ground level. The right bucket has mass 17.5 kg and sits at 4.6 m high. The construction worker in the building then let go of the right bucket so the buckets start to move. Ignore friction, how fast are the buckets when the right bucket is about to hit the ground (right diagram)?

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

### Pulley System for Construction Waste Management

#### Diagram Description
The provided diagram illustrates a pulley system designed to transfer construction waste from an elevated building level to the ground. It consists of two buckets suspended across a pulley. The sequential process, from left to right, details the initial state, mid-motion state, and final state of the buckets.

- **Left Diagram:** The left bucket (labeled "1") starts at ground level, and the right bucket (labeled "2") is suspended at a height of 4.6 meters. The left bucket has a mass of 13.5 kg, and the right bucket has a mass of 17.5 kg.
- **Middle Diagram:** Both buckets are in mid-motion as they move due to the weight difference.
- **Right Diagram:** The right bucket ("2") has descended to ground level, and the left bucket ("1") is elevated to 4.6 meters.

#### Problem Statement
At the beginning (as depicted in the left diagram), the left bucket (13.5 kg) is at ground level, and the right bucket (17.5 kg) is at a height of 4.6 meters. Once the construction worker releases the right bucket, the system starts to move. Ignoring friction, the task is to determine the speed of the buckets at the moment the right bucket is about to hit the ground (as shown in the right diagram).

#### Detailed Explanation
1. **Initial State:**
- Left bucket (1) mass: 13.5 kg (ground level)
- Right bucket (2) mass: 17.5 kg (4.6 m high)

2. **Motion Dynamics:**
- The right bucket (heavier mass) will descend due to gravity, causing the left bucket to rise.
- As the buckets move, the potential energy of the right bucket is converted into kinetic energy and the potential energy of the left bucket increases.

3. **Final State:**
- At the final moment, both buckets will have the same speed due to the conservation of momentum in the pulley system.

#### Calculation (not shown in the diagram)
To find the speed:
- Use the principle of conservation of energy:
- Initial potential energy of the system = Potential energy of the right bucket (since the left bucket is at ground level)
- Final kinetic energy of the system = Combined kinetic energy of the moving buckets

- Set up

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