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Q.

A car moving with sped 10 m/s along a circular road of mean radius 50 m. The surface of the road is horizontal. What must be the minimum coefficient of friction between the road surface and tyres to avoid skidding?

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a

0.3

b

0.2

c

0.5

d

0.4

answer is B.

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Detailed Solution

fmax=μmgFrictional force acting on the tyres, f=mV2RFor no skidding, f≤fmax⇒mV2R≤μmg⇒μmin=V2Rg=10250×10=0.2
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A car moving with sped 10 m/s along a circular road of mean radius 50 m. The surface of the road is horizontal. What must be the minimum coefficient of friction between the road surface and tyres to avoid skidding?