Two buckets of nails are arranged in a pulley system as shown in the figure; the pulley itself is both massless and frictionless and the rope may be considered massless. At the instant shown in the figure, the bucket having the most nails is a distance D=3.10 m above the ground, the bucket having the fewest nails is at ground level, and the system has just been released from rest. The bucket having the most nails has a mass of M = 10.0 kg, and the bucket with the fewest nails has a mass of m = 5.00 kg Part A m M D As the heavier bucket moves downward, from the starting point shown in the figure, all the way to the ground, what will have been the work done on the lighter bucket by non-conservative forces? Use T for the unknown tension in the rope and give your answer symbolically. Give your answer symbolically. Choose from the symbols T, M, m, D, and g, where g is the acceleration due to gravity acting alone. If the answer is zero, just enter 0. Work on m by nonconservative forces = ΥΠ' ΑΣΦ ?

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Chapter1: Units, Trigonometry. And Vectors
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**Part B**

As the heavier bucket moves downward to the ground, what will have been the work done on the heavier bucket by non-conservative forces? Use \( T \) for the unknown tension in the rope and give your answer symbolically.

Give your answer symbolically. Choose from the symbols \( T, M, m, D, \) and \( g \), where \( g \) is the acceleration due to gravity acting alone. If the answer is zero, just enter 0.

\[ \text{Work on } M \text{ by nonconservative forces} = \]
[Input box]

[Submit] [Request Answer]

---

**Part C**

Now consider the system of the two buckets, the pulley and rope, and the Earth. As the heavier bucket moves downward to the ground, what will have been the work done on this system by non-conservative forces? Use \( T \) for the unknown tension in the rope and give your answer symbolically.

Give your answer symbolically. Choose from the symbols \( T, M, m, D, \) and \( g \), where \( g \) is the acceleration due to gravity acting alone. If the answer is zero, just enter 0.

\[ \text{Work on system by nonconservative forces} = \]
[Input box]

[Submit] [Request Answer]
Transcribed Image Text:**Part B** As the heavier bucket moves downward to the ground, what will have been the work done on the heavier bucket by non-conservative forces? Use \( T \) for the unknown tension in the rope and give your answer symbolically. Give your answer symbolically. Choose from the symbols \( T, M, m, D, \) and \( g \), where \( g \) is the acceleration due to gravity acting alone. If the answer is zero, just enter 0. \[ \text{Work on } M \text{ by nonconservative forces} = \] [Input box] [Submit] [Request Answer] --- **Part C** Now consider the system of the two buckets, the pulley and rope, and the Earth. As the heavier bucket moves downward to the ground, what will have been the work done on this system by non-conservative forces? Use \( T \) for the unknown tension in the rope and give your answer symbolically. Give your answer symbolically. Choose from the symbols \( T, M, m, D, \) and \( g \), where \( g \) is the acceleration due to gravity acting alone. If the answer is zero, just enter 0. \[ \text{Work on system by nonconservative forces} = \] [Input box] [Submit] [Request Answer]
**Pulley System Problem**

Two buckets of nails are arranged in a pulley system as shown in the figure. The pulley is massless and frictionless, and the rope is also considered massless. At the moment depicted in the diagram, the bucket with the most nails is a distance \( D = 3.10 \, \text{m} \) above the ground, while the bucket with the fewest nails is at ground level. The system has just been released from rest. The bucket with the most nails has a mass of \( M = 10.0 \, \text{kg} \), and the bucket with the fewest nails has a mass of \( m = 5.00 \, \text{kg} \).

**Diagram Explanation:**
The diagram illustrates a vertical pulley system with two attached buckets:
- The larger bucket \( M \) is elevated at a height \( D \).
- The smaller bucket \( m \) is on the ground.

**Part A**

As the heavier bucket descends from the starting position shown in the figure, determine the work done on the lighter bucket by non-conservative forces as it moves all the way to the ground. Use \( T \) for the unknown tension in the rope and provide your answer symbolically.

Provide your answer using the symbols \( T, M, m, D, \) and \( g \), where \( g \) is the acceleration due to gravity acting alone. If the answer is zero, indicate by entering 0.

- Input box for the answer: 
   - Work on \( m \) by nonconservative forces = [Input here]
Transcribed Image Text:**Pulley System Problem** Two buckets of nails are arranged in a pulley system as shown in the figure. The pulley is massless and frictionless, and the rope is also considered massless. At the moment depicted in the diagram, the bucket with the most nails is a distance \( D = 3.10 \, \text{m} \) above the ground, while the bucket with the fewest nails is at ground level. The system has just been released from rest. The bucket with the most nails has a mass of \( M = 10.0 \, \text{kg} \), and the bucket with the fewest nails has a mass of \( m = 5.00 \, \text{kg} \). **Diagram Explanation:** The diagram illustrates a vertical pulley system with two attached buckets: - The larger bucket \( M \) is elevated at a height \( D \). - The smaller bucket \( m \) is on the ground. **Part A** As the heavier bucket descends from the starting position shown in the figure, determine the work done on the lighter bucket by non-conservative forces as it moves all the way to the ground. Use \( T \) for the unknown tension in the rope and provide your answer symbolically. Provide your answer using the symbols \( T, M, m, D, \) and \( g \), where \( g \) is the acceleration due to gravity acting alone. If the answer is zero, indicate by entering 0. - Input box for the answer: - Work on \( m \) by nonconservative forces = [Input here]
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