Question

A car travels along a horizontal road which is an arc of a circle of radius 125 m. The greatest speed at which the car can travel without slipping is 42 km/h. Find the coefficient of friction between the tyres of the car and the surface of the road.

Answer 1

Answer on Question #62399 – Physics – Mechanics – Relativity

Question:

A car travels along a horizontal road which is an arc of a circle of radius 125 m. The greatest speed at which the car can travel without slipping is 42 km/h. Find the coefficient of friction between the tyres of the car and the surface of the road.

Answer:

Using Newton’s second law we will have:

$$\overrightarrow{F_f} = m \vec{a};$$ $$\left\{ \begin{array}{l} F_f = k m g, \\ a = \frac{v^2}{R}; \end{array} \right.$$ $$k m g = m \frac{v^2}{R} \Rightarrow k = \frac{v^2}{g R};$$ $$k = \frac{1}{9} \approx 0.111;$$

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