A solid sphere is released from the top of a ramp that is at a height h, = 1.85 m. It rolls down the ramp without slipping. The bottom of the ramp is at a height of h, = 1.48 m above the floor. The edge of the ramp is a short horizontal section from which the ball leaves to land on the floor. The diameter of the ball is 0.12 m. h2 (a) Through what horizontal distance d, in meters, does the ball travel before landing? (b) How many revolutions does the ball make during its fall? rev

College Physics
11th Edition
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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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**Physics Problem: Motion of a Rolling Sphere**

A solid sphere is released from the top of a ramp with an initial height \( h_1 = 1.85 \, \text{m} \). It rolls down the incline without slipping. The bottom of the ramp is at a height of \( h_2 = 1.48 \, \text{m} \) above the ground. At the end of the ramp, there is a short horizontal section from which the sphere launches and eventually lands on the floor. The sphere has a diameter of \( 0.12 \, \text{m} \).

**Diagram Explanation:**
- The diagram displays a ramp with two vertical height markers:
  - \( h_1 = 1.85 \, \text{m} \), representing the initial height of the sphere at the top.
  - \( h_2 = 1.48 \, \text{m} \), indicating the height of the end of the ramp above the floor.
- The path of the sphere after leaving the ramp is represented by a dashed arc, illustrating projectile motion.

**Questions:**

(a) Through what horizontal distance \( d \), in meters, does the ball travel before landing?

\(\boxed{\phantom{0}}\) m

(b) How many revolutions does the ball make during its fall?

\(\boxed{\phantom{0}}\) rev
Transcribed Image Text:**Physics Problem: Motion of a Rolling Sphere** A solid sphere is released from the top of a ramp with an initial height \( h_1 = 1.85 \, \text{m} \). It rolls down the incline without slipping. The bottom of the ramp is at a height of \( h_2 = 1.48 \, \text{m} \) above the ground. At the end of the ramp, there is a short horizontal section from which the sphere launches and eventually lands on the floor. The sphere has a diameter of \( 0.12 \, \text{m} \). **Diagram Explanation:** - The diagram displays a ramp with two vertical height markers: - \( h_1 = 1.85 \, \text{m} \), representing the initial height of the sphere at the top. - \( h_2 = 1.48 \, \text{m} \), indicating the height of the end of the ramp above the floor. - The path of the sphere after leaving the ramp is represented by a dashed arc, illustrating projectile motion. **Questions:** (a) Through what horizontal distance \( d \), in meters, does the ball travel before landing? \(\boxed{\phantom{0}}\) m (b) How many revolutions does the ball make during its fall? \(\boxed{\phantom{0}}\) rev
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