(a) The force of the track on the vehicle at point A is equal to the mass of the vehicle multiplied by its acceleration. Since the vehicle has a speed of 20.0 m/s at point A, its acceleration is zero. Therefore, the force of the track on the vehicle at point A is zero.
(b) The maximum speed the vehicle can have at point B in order for gravity to hold it on the track is equal to the square root of the acceleration due to gravity multiplied by the distance between points A and B. Assuming the distance between points A and B is 10 m, the maximum speed the vehicle can have at point B is 14.1 m/s.
A roller-coaster vehicle has a mass of 500 kg when fully loaded with passengers (Fig. P7.26). (a) If the vehicle has a speed of 20.0 m/s at point A , what is the force of the track on the vehicle at this point? (b) What is the maximum speed the vehicle can have at point B in order for gravity to hold it on the track?
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