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A: A sport utility vehicle (SUV) and a sports car travel around the same horizontal curve....

A: A sport utility vehicle (SUV) and a sports car travel around the same horizontal curve. The SUV has a static stability factor of 0.60 and can negotiate the curve at a maximum speed of 16 m/s without rolling over. The sports car has a static stability factor of 1.4. At what maximum speed can the sports car negotiate the curve without rolling over?

B: A small 0.542-kg object moves on a frictionless horizontal table in a circular path of radius 1.31 m. The angular speed is 6.33 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 105 N, what is the radius of the smallest possible circle on which the object can move?

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