A car of mass 1000kg takes a level circular turn of radius 50m on a dry road.
a. (a) The car enters the bend with a speed of 36km h−1. Calculate the magnitude of the horizontal force that keeps the car in its circular path at this speed.
b. (b) The coefficient of static friction between the tyres and the road surface is 0.40. Determine the greatest speed (in m s−1) at which the car can negotiate the same turn without skidding. Show all steps clearly.