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Question

Physics Question on Friction

A car is traveling along a curved road of radius r. If die coefficient of friction between the tyres and the road is μ\mu , the car will skid if its speed exceeds

A

2μrg2\sqrt{\mu rg}

B

3μrg3\sqrt{\mu rg}

C

2μrg\sqrt{2\mu rg}

D

μrg\sqrt{\mu rg}

Answer

μrg\sqrt{\mu rg}

Explanation

Solution

When a vehicle takes a turn on a circular path it requires centripetal force. If friction provides this centripetal force then vehicle can move in circular path safely, if Friction force ≥\ge Required centripetal force μmg≥mv2r\mu mg\ge \frac{m{{v}^{2}}}{r} vsafe≥μrg{{v}_{safe}}\ge \sqrt{\mu rg}