In an amusement park, you take a ride on a Ferris wheel with a radius R = 14 m. You have a mass m = 60 kg. During your ride, you are sitting on one of the Ferris Wheel gondolas. The linear speed at the rim of the Ferris wheel is a constant v = 7 m/s.

a) Draw a free-body diagram showing all he forces acting on you while at the top of the Ferris wheel. Label all the forces.

b) What is the magnitude of the normal force acting on you at the top of the Ferris wheel?

c) What is the magnitude of the normal force acting on you at the bottom of the Ferris wheel?

d) Towards the end of your ride it takes the Ferris wheel 2 revolutions to come to rest starting from v = 7 m/s. If during those 2 revolutions, your tangential acceleration is constant, what is the magnitude of your overall acceleration just as you begin slowing down?