A roller-coaster car has a mass of 504 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points  and  are parts of vertical circles of radius r1 = 10.0 m and r2 = 15.0 m, respectively. (a) If the vehicle has a speed of 19.8 m/s at point , what is the force exerted by the track on the car at this point?  N (b) What is the maximum speed the vehicle can have at  and still remain on the track?  m/s

Principles of Physics: A Calculus-Based Text
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Chapter5: More Applications Of Newton’s Laws
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A roller-coaster car has a mass of 504 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points  and  are parts of vertical circles of radius r1 = 10.0 m and r2 = 15.0 m, respectively.

(a) If the vehicle has a speed of 19.8 m/s at point , what is the force exerted by the track on the car at this point?
 N

(b) What is the maximum speed the vehicle can have at  and still remain on the track?
 m/s
A roller-coaster car has a mass of 504 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-
down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points O and O are parts of vertical circles of radius r,
= 10.0
m and r,
= 15.0 m, respectively.
(a) If the vehicle has a speed of 19.8 m/s at point O, what is the force exerted by the track on the car at this point?
(b) What is the maximum speed the vehicle can have at
and still remain on the track?
m/s
Transcribed Image Text:A roller-coaster car has a mass of 504 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and- down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points O and O are parts of vertical circles of radius r, = 10.0 m and r, = 15.0 m, respectively. (a) If the vehicle has a speed of 19.8 m/s at point O, what is the force exerted by the track on the car at this point? (b) What is the maximum speed the vehicle can have at and still remain on the track? m/s
Expert Solution
Step 1

Given,m = 504 kgr1 = 10.0 mr2 = 15.0 mvA = 19.8 ms

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