Answer Happy

1.0 m 30.0° (diagram not drawn to scale) Level Ground B 15.0 m A new ride at Six Flags involves a rider of mass 50.0 kg at rest in a seat attached to a massive compressed spring (with a spring constant of 2000.0 N/m) 1.0 m above level ground, as shown at point A. When the rider is at point A, the spring is compressed a whopping 5.4 m. When a bell sounds, the spring is released, propelling the rider up a frictionless incline toward point B, 15.0 m above level ground. The moment the rider reaches point B, the seat harness releases and she becomes a projectile, shortly splashing down in a refreshing pool of water at point C. In this fun ride, air resistance is negligible. (a) While at rest at point A, what type(s) of mechanical energy does the rider possess? (b) The moment after the spring is "decompressed" at point A, but while the seat is still connected to the spring, sketch the free body diagram of the rider on the dot to the right. (c) The instant before the rider strikes the water at point C, calculate her total mechanical energy. (d) The instant the rider reaches point B, calculate her speed in both meters per second and miles per hour (note 1 mph = 0.44 m/s) Pool of Water (e) What type of projectile is the rider when passing from point B to point C? (f) Calculate the amount of time it takes the rider to travel from point B to point C. (g) Calculate the range of the rider (distance from point X to point C) in both meters and feet (1 m = 3.3 feet).