Driving your car with a constant speed of 12 m/s you encounter a bump in the road that has a circular cross-section. The radius of curvature of the bump is 35 m.
  1. Find the apparent weight of a 67 kg person in your car as you pass over the top of the bump.
  2. At what speed must you go over the bump if people in the car are to feel ``weightless''?

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