The figure below shows a roller-coaster car on a track. The car is fully loaded with passengers and has a total mass of 485 kg. At point A, the car is at the lowest point in a circular arc of radius r1 = 12.0 m. At point B, the car is at the highest point of a circular arc of radius r2 = 16.8 m. (a) If the car has a speed of 25.0 m/s at point A, what is the magnitude of the force (in N) of the track on the car at this point? (b) What is the maximum speed (in m/s) the car can have at point B in order for the car to maintain contact with the track at all times (that is, so that it does not "jump" off the track)?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 64P: Find the angle between vectors for (a) D=(-3.0i-4.0j)m and A=(-3.0i+4.0j)m and (b) D=(2.0i+4.0j+K)m...
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The figure below shows a roller-coaster car on a track. The car is fully loaded with passengers and has a total mass of 485 kg. At point A, the car is at the lowest point in a circular arc of radius r1 = 12.0 m. At point B, the car is at the highest point of a circular arc of radius r2 = 16.8 m.

(a) If the car has a speed of 25.0 m/s at point A, what is the magnitude of the force (in N) of the track on the car at this point?
(b) What is the maximum speed (in m/s) the car can have at point B in order for the car to maintain contact with the track at all times (that is, so that it does not "jump" off the track)?
(B)
Transcribed Image Text:(B)
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