h A solid sphere rolls without slipping down an incline. At the top it is at rest. What is the linear speed at the bottom? Parameters: ] mass = m = 4.3 kg; angle of the incline = 20 degrees; height of the ramp = h = 1.10 m; horizontal length of the ramp = L = 3.02 m.
h A solid sphere rolls without slipping down an incline. At the top it is at rest. What is the linear speed at the bottom? Parameters: ] mass = m = 4.3 kg; angle of the incline = 20 degrees; height of the ramp = h = 1.10 m; horizontal length of the ramp = L = 3.02 m.
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Chapter1: Units, Trigonometry. And Vectors
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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
![**Inclined Plane Problem:**
A solid sphere rolls without slipping down an incline. At the top, it is at rest. What is the linear speed at the bottom?
**Parameters:**
- Mass = \( m = 4.3 \, \text{kg} \)
- Angle of the incline = \( 20 \, \text{degrees} \)
- Height of the ramp = \( h = 1.10 \, \text{m} \)
- Horizontal length of the ramp = \( L = 3.02 \, \text{m} \)
**Question:** What is the linear speed at the bottom? (in m/s)
**Options:**
- A: 3.356
- B: 3.926
- C: 4.594
- D: 5.375
- E: 6.288
- F: 7.357
- G: 8.608
- H: \( 1.007 \times 10^1 \)
**Diagram Explanation:**
The diagram shows a solid sphere on an inclined plane. The height of the incline is denoted by \( h \) and forms a right triangle with the horizontal length \( L \). The problem is to determine the linear speed of the sphere when it reaches the bottom of the incline.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29d54699-8096-4754-af5c-5369115407dd%2Fd2603dda-530f-4655-8055-92c44dab4265%2Fux1frkh_processed.png&w=3840&q=75)
Transcribed Image Text:**Inclined Plane Problem:**
A solid sphere rolls without slipping down an incline. At the top, it is at rest. What is the linear speed at the bottom?
**Parameters:**
- Mass = \( m = 4.3 \, \text{kg} \)
- Angle of the incline = \( 20 \, \text{degrees} \)
- Height of the ramp = \( h = 1.10 \, \text{m} \)
- Horizontal length of the ramp = \( L = 3.02 \, \text{m} \)
**Question:** What is the linear speed at the bottom? (in m/s)
**Options:**
- A: 3.356
- B: 3.926
- C: 4.594
- D: 5.375
- E: 6.288
- F: 7.357
- G: 8.608
- H: \( 1.007 \times 10^1 \)
**Diagram Explanation:**
The diagram shows a solid sphere on an inclined plane. The height of the incline is denoted by \( h \) and forms a right triangle with the horizontal length \( L \). The problem is to determine the linear speed of the sphere when it reaches the bottom of the incline.
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