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20. What is the minimum acceleration that the car must have at the top of the track if it is to remain in contact with the track? A) 4.9 m/s², downward B) 4.9 m/s², upward C) 9.8 m/s2, downward D) 9.8 m/s2, upward E) 19.6 m/s², upward

20. What is the minimum acceleration that the car must have at the top of the track if it is to remain in contact with the track? A) 4.9 m/s², downward B) 4.9 m/s², upward C) 9.8 m/s2, downward D) 9.8 m/s2, upward E) 19.6 m/s², upward

College Physics
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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**Question 20: Physics Problem on Minimum Acceleration** **Question:** What is the minimum acceleration that the car must have at the top of the track if it is to remain in contact with the track? **Options:** A) \(4.9 \, \text{m/s}^2\), downward B) \(4.9 \, \text{m/s}^2\), upward C) \(9.8 \, \text{m/s}^2\), downward D) \(9.8 \, \text{m/s}^2\), upward E) \(19.6 \, \text{m/s}^2\), upward **Explanation:** To determine the correct answer, consider the forces and motion of the car at the top of the track. The car needs to have enough centripetal acceleration to counteract the gravitational force pulling it downwards, ensuring it remains in contact with the track.
Transcribed Image Text:**Question 20: Physics Problem on Minimum Acceleration** **Question:** What is the minimum acceleration that the car must have at the top of the track if it is to remain in contact with the track? **Options:** A) \(4.9 \, \text{m/s}^2\), downward B) \(4.9 \, \text{m/s}^2\), upward C) \(9.8 \, \text{m/s}^2\), downward D) \(9.8 \, \text{m/s}^2\), upward E) \(19.6 \, \text{m/s}^2\), upward **Explanation:** To determine the correct answer, consider the forces and motion of the car at the top of the track. The car needs to have enough centripetal acceleration to counteract the gravitational force pulling it downwards, ensuring it remains in contact with the track.
**Instructions for Questions 20-21:** A small car of mass \( M \) travels along a straight, horizontal track. As suggested in the figure, the track then bends into a vertical circle of radius \( R \). **Diagram Explanation:** In the diagram, a small car is shown moving along a straight, horizontal track. The track transitions into a vertical loop with a circular shape. The key features of the diagram include: - A car labeled with mass \( M \). - An arrow indicating the direction of motion, pointing towards the vertical loop. - The vertical loop is part of a circle with a radius labeled \( R \). - The loop is depicted as a half-circle, showing the path the car would follow as it enters the loop. This setup is used to analyze the dynamics of an object in vertical circular motion.
Transcribed Image Text:**Instructions for Questions 20-21:** A small car of mass \( M \) travels along a straight, horizontal track. As suggested in the figure, the track then bends into a vertical circle of radius \( R \). **Diagram Explanation:** In the diagram, a small car is shown moving along a straight, horizontal track. The track transitions into a vertical loop with a circular shape. The key features of the diagram include: - A car labeled with mass \( M \). - An arrow indicating the direction of motion, pointing towards the vertical loop. - The vertical loop is part of a circle with a radius labeled \( R \). - The loop is depicted as a half-circle, showing the path the car would follow as it enters the loop. This setup is used to analyze the dynamics of an object in vertical circular motion.
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