A roller-coaster car has a mass of 500kg 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.(a) If the vehicle has a speed of 20.0m/s at point A, 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 point B and still remain on the track? Assume the roller-coaster tracks at points A and B are parts of vertical circles of radius r 1=10.0m and r 2=15.0m, respectively.

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Chapter5: Energy
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A roller-coaster car has a mass of 500kg 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.
(a) If the vehicle has a speed of 20.0m/s at point A, 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 point B and still remain on the track? Assume the roller-coaster tracks at points A and B are parts of vertical circles of radius r 1=10.0m and r 2=15.0m, respectively.

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