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the maximum velocity with which a dr...

the maximum velocity with which a driver a must drive his car on a flat curved road of radius of curvature 150 m and coefficient of friction 0.6 to avoid the skidding of his car is ( take `g=10 m//s^(2))`

A

60m/s

B

50 m/s

C

40 m/s

D

30 m/s

Text Solution

Verified by Experts

The correct Answer is:
D
The C.F force `(mv^(2))/( r ) ` acting on the car of mass m is opposed by the force of friction `F= mu R = mu m g `
TO avoid skidding ,` ( mv^(2))/( r ) le ,mu m g `
` therefore ` The maximum speed is given by ` (mv ^(2)m) /(r ) = mu mg `
` therefore v _m^2= mu mg = 0.6 xx150 xx10 = 900`
` therefore v_(m ) = sqrt( 900 ) = 30 m//s`
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