1. A motorcycle is traveling up one side of a hill and down the otherside. The crest is a circular arc with a radius of 55.0 m. Determine the maximum speed that the cycle canhave while moving over the crest without losing contact with the road.
2. At an amusement park there is a ride in which cylindrically shapedchambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outerwall moves at a speed of 3.5 m/s, and an83 kg person feels a 545 N force pressing against his back. What is the radius of the chamber?