Question
Find the maximum speed with which an automobile can round a curve of radius 8 m without slipping if the road is unbanked and the co-efficient of friction between the road and the tyres is 0.8(g = 10 m/`s^2`)
Answer: Option A
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Here centripetal force is provided by force of friction .
`because f = mu_s N`
`:.` ` f = (mv^2)/(r)`
or `mu_s N = (mv^2)/(r)`
or ` mu_s mg = (mv^2)/(r)`
`:.` ` v = sqrt(mu gr) = sqrt(0.8 xx 10 xx 8) ` = 8 m/s
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