Can you help me with this physics problem? Someone throws a balloon full of paint at a uniform disk turntable that is initial at rest with a mass M and a radius R. The balloon has a mass of m and an initial horizontal velocity of v and stick at a distance d from the center. See picture. What is the final angularvelocity of the turntable and paint balloon splatter after the paint sticks. Assume no friction

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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Can you help me with this physics problem?
Someone throws a balloon full of paint at a uniform disk turntable that is initial at rest with a mass M and a radius R. The balloon has a mass of m and an initial horizontal velocity of v and stick at a distance d from the center. See picture. What is the final angularvelocity of the turntable and paint balloon splatter after the paint sticks. Assume no friction

### Diagram Explanation

The diagram illustrates a circular object with labeled elements indicating various parameters.

1. **Large Circle (Planet):**
   - **M, R:** Represents the mass (M) and radius (R) of the planet.
   
2. **Center of the Circle:**
   - Labeled as "Center" with an arrow pointing from the planet’s center outward to the right.
   
3. **Potatoes:**
   - A point labeled "Potatoes" with a dotted line extending downward.
   
4. **Distance (d):**
   - Horizontal arrow from the center to the "Potatoes" point, representing distance (d) from the center of the planet to the potatoes.

5. **Vertical Motion:**
   - A smaller circle labeled "m" with a downward arrow labeled "v," indicating a mass (m) moving with velocity (v).

### Interpretation and Usage

This diagram might be used in contexts such as:
- Illustrating gravitational effects or escape velocity around a planet.
- Demonstrating centripetal force or orbital mechanics by showing the relationship between distance and motion around a mass.
Transcribed Image Text:### Diagram Explanation The diagram illustrates a circular object with labeled elements indicating various parameters. 1. **Large Circle (Planet):** - **M, R:** Represents the mass (M) and radius (R) of the planet. 2. **Center of the Circle:** - Labeled as "Center" with an arrow pointing from the planet’s center outward to the right. 3. **Potatoes:** - A point labeled "Potatoes" with a dotted line extending downward. 4. **Distance (d):** - Horizontal arrow from the center to the "Potatoes" point, representing distance (d) from the center of the planet to the potatoes. 5. **Vertical Motion:** - A smaller circle labeled "m" with a downward arrow labeled "v," indicating a mass (m) moving with velocity (v). ### Interpretation and Usage This diagram might be used in contexts such as: - Illustrating gravitational effects or escape velocity around a planet. - Demonstrating centripetal force or orbital mechanics by showing the relationship between distance and motion around a mass.
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