A roller-coaster vehicle has a mass of 470 kg when fully loaded with passengers (see figure). 10 m 15 m (a) If the vehicle has a speed of 25.0 m/s at point O, what is the force (in N) of the track on the vehicle at this point? (b) What is the maximum speed (in m/s) the vehicle can have at point ® in order for gravity to hold it on the track?

College Physics
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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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A roller-coaster vehicle has a mass of 470 kg when fully loaded with passengers (see figure).

**Diagram Description:**

The image depicts a roller-coaster track with key points labeled A and B. The track has a dip and a rise, with point A located at the lowest point of the dip and point B at the top of the rise. The height from point A to the top of the rise is labeled as 10 m and from the base to point B is labeled as 15 m.

**Questions:**

(a) If the vehicle has a speed of 25.0 m/s at point A, what is the force (in N) of the track on the vehicle at this point?
   
   Answer: _______ 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?
   
   Answer: _______ m/s
Transcribed Image Text:A roller-coaster vehicle has a mass of 470 kg when fully loaded with passengers (see figure). **Diagram Description:** The image depicts a roller-coaster track with key points labeled A and B. The track has a dip and a rise, with point A located at the lowest point of the dip and point B at the top of the rise. The height from point A to the top of the rise is labeled as 10 m and from the base to point B is labeled as 15 m. **Questions:** (a) If the vehicle has a speed of 25.0 m/s at point A, what is the force (in N) of the track on the vehicle at this point? Answer: _______ 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? Answer: _______ m/s
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