Two buckets of mass mj = 18.3 kg and m2 12.1 kg are attached to the ends of a massless rope which passes over a pulley with a mass of m, = 7.33 kg and a radius of r, = 0.250 m. Assume that the rope does not slip on the pulley, and that the pulley rotates without friction. The buckets are released from rest and begin to move. If the larger bucket is a distance do = 2.15 m above the ground %3D when it is released, with what speed v will it hit the ground? speed of bucket: m/s

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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**Problem Description:**

Two buckets of mass \( m_1 = 18.3 \, \text{kg} \) and \( m_2 = 12.1 \, \text{kg} \) are attached to the ends of a massless rope which passes over a pulley with a mass of \( m_p = 7.33 \, \text{kg} \) and a radius of \( r_p = 0.250 \, \text{m} \). Assume that the rope does not slip on the pulley and that the pulley rotates without friction.

The buckets are released from rest and begin to move. If the larger bucket is a distance \( d_0 = 2.15 \, \text{m} \) above the ground when it is released, with what speed \( v \) will it hit the ground?

**Image Explanation:**

The diagram on the right shows two buckets hanging on a pulley system. 

- Bucket 1 (with mass \( m_1 \)) is larger and hangs higher on the left side.
- Bucket 2 (with mass \( m_2 \)) is smaller and hangs lower on the right side.
- The pulley is represented by a grey disk at the top around which the rope is looped.

**Question:**

Calculate the speed of the larger bucket \( v \) just before it hits the ground.

**Answer Box:**

A box is provided beneath the text for entering the calculated speed of the bucket in meters per second (m/s).
Transcribed Image Text:**Problem Description:** Two buckets of mass \( m_1 = 18.3 \, \text{kg} \) and \( m_2 = 12.1 \, \text{kg} \) are attached to the ends of a massless rope which passes over a pulley with a mass of \( m_p = 7.33 \, \text{kg} \) and a radius of \( r_p = 0.250 \, \text{m} \). Assume that the rope does not slip on the pulley and that the pulley rotates without friction. The buckets are released from rest and begin to move. If the larger bucket is a distance \( d_0 = 2.15 \, \text{m} \) above the ground when it is released, with what speed \( v \) will it hit the ground? **Image Explanation:** The diagram on the right shows two buckets hanging on a pulley system. - Bucket 1 (with mass \( m_1 \)) is larger and hangs higher on the left side. - Bucket 2 (with mass \( m_2 \)) is smaller and hangs lower on the right side. - The pulley is represented by a grey disk at the top around which the rope is looped. **Question:** Calculate the speed of the larger bucket \( v \) just before it hits the ground. **Answer Box:** A box is provided beneath the text for entering the calculated speed of the bucket in meters per second (m/s).
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