Consider a roller coaster as it travels near the bottom of its track as sketched in Figure

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Consider a roller coaster as it travels near the bottom of its track as sketched in Figure P5.23. At this point, the normal force on the roller coaster is three times its weight. If the speed of the roller coaster is 20 m/s, what is the radius of curvature of the track?

Figure P5.23

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