Consider a vertical loop in the roller coaster ride shown in the figure. Suppose you are designing such a loop and you want the normal force that the track exerts on the cars to be at least ¼ their weight at the instant the car is at the top of the loop. Let point A be a point on the roller-coaster track just before the track begins to rise into the loop, and suppose the vertical coordinate of a car’s center of mass as it passes the top of the loop is 15 meters above the vertical coordinate of the car’s center of mass as it passes point A. What minimum speed should the roller-coaster car have as it passes point A? Assume the loop is a circle. Answer: Greater than 19.6 m/s
Consider a vertical loop in the roller coaster ride shown in the figure. Suppose you are designing such a loop and you want the normal force that the track exerts on the cars to be at least ¼ their weight at the instant the car is at the top of the loop. Let point A be a point on the roller-coaster track just before the track begins to rise into the loop, and suppose the vertical coordinate of a car’s center of mass as it passes the top of the loop is 15 meters above the vertical coordinate of the car’s center of mass as it passes point A. What minimum speed should the roller-coaster car have as it passes point A? Assume the loop is a circle. Answer: Greater than 19.6 m/s
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