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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**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.
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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