A roller-coaster vehicle has a mass of 505 kg when fully loaded with passengers (see figure).   (a) If the vehicle has a speed of 15.0 m/s at point A, what is the force (in N) of the track on the vehicle at this point? N   (b) What is the maximum speed (in m/s) the vehicle can have at point B in order for gravity to hold it on the track? m/s

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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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A roller-coaster vehicle has a mass of 505 kg when fully loaded with passengers (see figure).
 
(a) If the vehicle has a speed of 15.0 m/s at point A, what is the force (in N) of the track on the vehicle at this point?
N
 
(b) What is the maximum speed (in m/s) the vehicle can have at point B in order for gravity to hold it on the track?
m/s
The image illustrates a roller coaster with two distinct segments labeled \(A\) and \(B\). 

- **Segment \(A\)** is depicted on the downhill portion of the track, featuring a circular path with a radius of 10 meters. This indicates a section of the track engineered for sharp, curved movements.

- **Segment \(B\)** is at the higher portion of the track, demonstrating another circular path with a radius of 15 meters, suggesting a gentler curve compared to Segment \(A\).

The roller coaster framework is shown with wooden support beams, and the surrounding area is filled with green trees, emphasizing the coaster's integration into a natural landscape. Riders can be seen at the top, indicating the start or continuation of a thrilling journey.
Transcribed Image Text:The image illustrates a roller coaster with two distinct segments labeled \(A\) and \(B\). - **Segment \(A\)** is depicted on the downhill portion of the track, featuring a circular path with a radius of 10 meters. This indicates a section of the track engineered for sharp, curved movements. - **Segment \(B\)** is at the higher portion of the track, demonstrating another circular path with a radius of 15 meters, suggesting a gentler curve compared to Segment \(A\). The roller coaster framework is shown with wooden support beams, and the surrounding area is filled with green trees, emphasizing the coaster's integration into a natural landscape. Riders can be seen at the top, indicating the start or continuation of a thrilling journey.
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