---### Physics Problem: Motion on an Inclined Track with a Loop#### Problem Statement:A 120 g marble is released from rest at point A, at a vertical distance \(h\) above the ground. It slides down an inclined track around a circular loop of radius \(R=0.5\ m\), then up another incline that forms an angle of 30° with the horizontal. Assuming the track is frictionless and air resistance is negligible:##### Part A:If the marble is released from a height of 0.8 m, will it make it around the loop?##### Part B:Determine the height \(h\) necessary so that the block just makes it around the loop.#### Diagram Explanation:The diagram illustrates a track setup:1. **Inclined Track**: The marble starts at a height \(h\).2. **Loop**: The circular loop has a radius \(R=0.5\ m\).3. **Variables**: - Height of release point A (\(h\)). - Radius of the loop (\(R = 0.5\ m\)). - Height at the top of the loop (\(2R = 1\ m\)).```plaintext h A | . | / \ | /---\ | / \ | / \ | / \ F |/___________\ R = 0.5 mNote: - \(F\) is the point at the bottom of the loop.- \(R\) is the radius of the loop.- \(h\) is the initial height from which the marble is released.```---This problem requires a fundamental understanding of energy conservation principles and dynamics in circular motion.

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Description: ---### Physics Problem: Motion on an Inclined Track with a Loop#### Problem Statement:A 120 g marble is released from rest at point A, at a vertical distance \(h\) above the ground. It slides down an inclined track around a circular loop of radius \

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Section B: Choose 3 out o 5. A 120 g marble I is releas It slides dowm an inclined tra an angle of 30° with the hori: A. If the marble is releas m, will it make it arou B. Determine the height the block just makes i

Section B: Choose 3 out o 5. A 120 g marble I is releas It slides dowm an inclined tra an angle of 30° with the hori: A. If the marble is releas m, will it make it arou B. Determine the height the block just makes i

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter9: Energy In Nonisolated Systems

Section: Chapter Questions

Problem 35PQ

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