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Fing the maximum speed with which an aut...

Fing the maximum speed with which an automobile can round a curve of radius 8 m without slipping of the road is unbanked and he coefficient of friction between the orad an the tyres is `0.8 (g=10 m//^(2))`

A

8 m/s

B

10 m/s

C

20 m/s

D

None of these

Text Solution

Verified by Experts

(a) Here centripetal force is provided by force of friction.
`:." " f=mu_(s)N`
`:." " f(mv^(2))/(r)`
or `" " mu_(s)N=(mv^(2))/(r)`
or `" " mu_(s) mg=(mv^(2))/(r)`
`:.`" " v=(r)/sqrt(mugr)=sqrt(0.8xx108)=8 m//s`
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