1. A race car is travelling at a steady speed of 300kph. It enters a curve with the form of a circular arc with a radius of 220 m. The car's mass is 1100 kg.
a) Determine the direction and magnitude of the force required to keep the car on the track as it goes around the curve.
b) The driver has a mass of 90 kg. Determine the force required to keep the driver in the car as it goes around the curve.
c) Compare the acceleration on the driver that is due to the curve to that due to gravity. Express the centripetal acceleration on the driver in the form of g 's - e.g. the driver experiences Xg 's of acceleration as she rounds the curve.
d) Assigning the x coordinate to the straight portion of the road preceding the curve, determine the velocity and acceleratios for the car in x an y coordinates two seconds after the car enters the curve.
e) What are the acceleration and velocity of the car in cylindrical coordinates as it rounds the curve (use the center of the curve's circular arc as the origin)?
f). What would the coefficient of sliding friction have to be between the car's tires and the road in order for the car to make it around the curve? Is that possible?