1. A ride in the amusement park goes up and down. The ride launches a rider of mass 52.4 kg from an initial velocity of 0.00 m/s[up], to a final velocity of 13.7 m/s[up] and that takes a time of 0.497 seconds.

a) Calculate the normal force that the guest experiences from the seat during that time, in which the guest experiences only two forces: normal force and gravity.

b) Calculate the g-force the guest experiences during that acceleration. The g-force is the normal force that a person currently experiences, divided by the normal force that the person experiences at rest, with no forces other than normal force and gravity acting on them. Humans have a limit to tolerating g-forces, and high g-forces can be deadly. The most intense rides at a theme park can briefly hit 4-5 g's, while astronauts during takeoff experience 3-4 g's for a prolonged time.