A roller-coaster car has a mass of 510 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 ® 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? N (b) What is the maximum speed the vehicle can have at ® and still remain on the track? m/s

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