If the cart moves too fast over this hill, it will be launched into the air! Of course, we do not want this to happen, so what is the maximum speed that the cart can move over the top of the track without losing contact?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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**PHYS 2325 HW #5**

1) A roller coaster cart is moving across the top of a circular curve (radius = 25 m) as shown below:

*Diagram Description:*
The diagram illustrates a roller coaster cart positioned at the top of a semicircular arc, which represents a section of the track with a radius of 25 meters. An arrow indicates the direction of motion of the cart across the top of the curve.

If the cart moves too fast over this hill, it will be launched into the air! Of course, we do not want this to happen, so what is the maximum speed that the cart can move over the top of the track without losing contact?
Transcribed Image Text:**PHYS 2325 HW #5** 1) A roller coaster cart is moving across the top of a circular curve (radius = 25 m) as shown below: *Diagram Description:* The diagram illustrates a roller coaster cart positioned at the top of a semicircular arc, which represents a section of the track with a radius of 25 meters. An arrow indicates the direction of motion of the cart across the top of the curve. If the cart moves too fast over this hill, it will be launched into the air! Of course, we do not want this to happen, so what is the maximum speed that the cart can move over the top of the track without losing contact?
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