2-D motion, Normal-Tangential Coordinates
A car is travelling at constant velocity v = 10 m/sec
over a hill ( from left to right ) which has the shape of a parabola :
y = c · x2   c = 0.02 m-1
- Determine the radius of curvature at the top of the hill (x=0).
- What is the value of the tangential and normal acceleration at the
moment the car reaches the very top of the hill (x=y=0) ?
- How big is the force of the road onto the car if the car has
a mass of 1000 kg and is at the very top of the hill ?
( assume zero friction, g=9.81 m/sec² )
- What is the maximum velocity the car can travel without loosing contact
with the road ?