Solved: A roller coaster at an amusement park has a dip

Chapter 5, Problem 5.167

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A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to twice her weight as she goes through the dip. If r 20.0 m, how fast is the roller coaster traveling at the bottom of the dip?

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