A car of mass takes a level circular turn of radius on a dry road.

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A car of mass 1000 kg1000\,\text{kg} takes a level circular turn of radius 50 m50\,\text{m} on a dry road. (a) The car enters the bend with a speed of 36 km h−136\,\text{km h}^{-1}. Calculate the magnitude of the horizontal force that keeps the car in its circular path at this speed. (b) The coefficient of static friction between the tyres and the road surface is 0.400.40. Determine the greatest speed (in m s−1\text{m s}^{-1}) at which the car can negotiate the same turn without skidding. Show all steps clearly.

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