A park features a radius of 10 m . Assuming the road encircling it is horizontal (unbanked), determine the minimum friction coefficient required so that a scooter travelling at 18 km/hr avoids skidding.

Step-by-step solution

Given speed of the scooter, v = 18 km/hr = 18 5 18 m/s = 5 m/s Radius of the circular park, r = 10 m For a vehicle to safely negotiate an unbanked circular curve, the required centripetal force is provided by the frictional force between the tyres and the road. mv^2 r mg v^2 rg Taking g = 10 m/s ^2 , we get: _ min = 5^2 10 10 = 25 100 = 0.25