In the figure here, a solid brass ball of mass 0.284 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.12 m, and the ball has radius r << R.(a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop?(b) If the ball is released at height h = 7R, what is the magnitude of the horizontal force component acting on the ball at point Q? The image depicts a classic physics problem involving a small object on a ramp and loop system. Here's a detailed explanation:**Diagram Description:**- **Inclined Plane:** The object starts at the top of an inclined plane at a height \( h \). The plane is angled and leads into a loop.- **Object:** A small sphere is shown initially positioned at the top of the incline.- **Loop:** The path transitions smoothly into a circular loop.- **Variables:** - \( h \): The height of the inclined plane from which the object begins to roll. - \( R \): The radius of the circular loop. - \( Q \): A point on the loop, marked at a height equal to the radius \( R \) from the ground level.- **Ground:** The loop and inclined plane are both on a green horizontal plane representing the ground.This setup is commonly used in physics to study concepts like energy conservation, motion, and forces acting on objects in a loop-the-loop motion. The problem often requires calculating the conditions needed for the object to complete the loop without falling off.

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Answered: In the figure here, a solid brass ball…

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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In the figure here, a solid brass ball of mass 0.284 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.12 m, and the ball has radius r << R.
(a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop?
(b) If the ball is released at height h = 7R, what is the magnitude of the horizontal force component acting on the ball at point Q?

The image depicts a classic physics problem involving a small object on a ramp and loop system. Here's a detailed explanation:

**Diagram Description:**

- **Inclined Plane:** The object starts at the top of an inclined plane at a height \( h \). The plane is angled and leads into a loop.

- **Object:** A small sphere is shown initially positioned at the top of the incline.

- **Loop:** The path transitions smoothly into a circular loop.

- **Variables:**
- \( h \): The height of the inclined plane from which the object begins to roll.
- \( R \): The radius of the circular loop.
- \( Q \): A point on the loop, marked at a height equal to the radius \( R \) from the ground level.

- **Ground:** The loop and inclined plane are both on a green horizontal plane representing the ground.

This setup is commonly used in physics to study concepts like energy conservation, motion, and forces acting on objects in a loop-the-loop motion. The problem often requires calculating the conditions needed for the object to complete the loop without falling off.

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