Physics

Problem

a. A car travels over a circular hump-back bridge of radius

40\,\text{m}

. (i) Derive the expression for the speed at which the normal reaction on the car becomes zero at the highest point. b. If the mass of the car is

900\,\text{kg}

and it actually crosses the hump at

18\,\text{m}\,\text{s}^{-1}

, calculate the normal reaction exerted by the road on the car at that instant. Take

g = 9.8\,\text{m}\,\text{s}^{-2}