When a car is rounding a bend on a flat road, the centripetal force is provided by the friction between the road and the tires. During a wet day the friction disappears and it becomes difficult or even dangerous to negotiate such a bend. This is overcome by banking the road as shown below. centre of circular path 200 m For a bend of radius 200 m, find the angle 0 such that a 1500 kg car moving with speed 80 km h' can negotiate the bend without sideward friction providing for the centripetal force. (a) (b) A 2000 kg car is now moving on the same wet bend at 80 km h'. State with a reason if the car is able to negotiate the bend with skidding. Sketch the free body diagram of the car if it is moving round the bend at a speed (i) greater than 80 km h' (ii) lesser than 80 km h' Write down the equations relating the horizontal forces acting on the car in both situations. (c)

When a car is rounding a bend on a flat road, the centripetal force is provided by the friction between the road and the tires. During a wet day the friction disappears and it becomes difficult or even dangerous to negotiate such a bend. This is overcome by banking the road as shown below. centre of circular path 200 m For a bend of radius 200 m, find the angle 0 such that a 1500 kg car moving with speed 80 km h' can negotiate the bend without sideward friction providing for the centripetal force. (a) (b) A 2000 kg car is now moving on the same wet bend at 80 km h'. State with a reason if the car is able to negotiate the bend with skidding. Sketch the free body diagram of the car if it is moving round the bend at a speed (i) greater than 80 km h' (ii) lesser than 80 km h' Write down the equations relating the horizontal forces acting on the car in both situations. (c)