Figure 6.35 shows a proposed roller-coaster track. Each car starts from rest at point A, where ya = 21 mand it will roll freely without friction along the track. It is important that there be at least some small normal force exerted by the track on the car at all points; otherwise, the car will leave the track. What is the minimum safe value for the radius of the curvature at point B?

Learning Goal: In 1687, Isaac Newton presented three basic laws that describe the motion of a particle: • First law: A particle originally at rest, or moving in a straight line with a constant velocity, will remain in this state provided that the particle is not subjected to an unbalanced force. Second law: A particle acted upon by an unbalanced force, F experiences an acceleration, a, that has the same direction as the force and a magnitude that is directly proportional to the force. Figure 1 1 1 V 1 of 2

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Please give detailed the solution, Don't just write the equations. (Complete free body diagram must be drawn , Including components)