Show all work. If the same car

A car moving at a steady 20 m/s on a level highway encounters a bump that has a circular cross-section with a radius of 25 m. The car maintains its speed over the bump.

  1. What is the normal force exerted by the seat of the car on a 50.0-kg passenger when the car is at the top of the bump? Show all work.
  2. If the same car was going through the lowermost point at a 25 m circular depression on the road at the same speed, what would be the normal force on the 50.0 kg person? Would the person feel heavier or lighter compared to their normal weight in this case? Show all work and explain any reasoning.
  3. Consider the case in part a again. At what speed would the drive become so dangerous that the car would not be in contact with the road any more? Show all work.

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