Three objects all have the same radius, mass, and initial linear velocity. These are a hoop, a solid sphere, and a solid disk. All are rolling without sliding up the same inclined plane. Which one goes the farthest? (Hint: You do not need exact formulas for moment of inertia -- only conceptual knowledge of which should be larger.) O a. the disk b. the hoop O c the sphere d. All go the same distance.

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**Title: Understanding Rolling Motion on an Inclined Plane**

**Prompt:**

Three objects all have the same radius, mass, and initial linear velocity. These objects are a hoop, a solid sphere, and a solid disk. All are rolling without sliding up the same inclined plane. Determine which object travels the farthest distance. 

**Hint:** You do not need exact formulas for the moment of inertia—only conceptual knowledge of which should be larger. 

**Options:**

- a. the disk
- b. the hoop
- c. the sphere
- d. All go the same distance.
Transcribed Image Text:**Title: Understanding Rolling Motion on an Inclined Plane** **Prompt:** Three objects all have the same radius, mass, and initial linear velocity. These objects are a hoop, a solid sphere, and a solid disk. All are rolling without sliding up the same inclined plane. Determine which object travels the farthest distance. **Hint:** You do not need exact formulas for the moment of inertia—only conceptual knowledge of which should be larger. **Options:** - a. the disk - b. the hoop - c. the sphere - d. All go the same distance.
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