Please help! A car travelling along a road approaches a bend. The bend is horizontally flat, with a circular arc and has a radius of 20m. The car and the passengers have a combined mass of 700kg. The force of kinetic friction between the tyres and the road is 9000N.

a.) Determine the maximum speed at which the car can travel around the bend.

b.) Explain with some calculations why motorists are advised to travel at slower speeds in wet weather.

c.) For safety reasons bends in roads are banked towards the inside of the turn, such that the flat road surface forms an angle to the horizontal. If the bend in part (a) was banked at 5°, describe with calculations how this increases the maximum speed at the turn so that it can be successfully travelled.​