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A road is banked at an angle of 30^(...

A road is banked at an angle of `30^(@)` to the horizontal for negotiating a curve of radius `10 sqrt(3)` m. At what velocity will a car experience no friction while negotiating the curve? Take `g=10 ms^(-2)`

A

54 kmph

B

75 kmph

C

36 kmph

D

18 kmph

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • A particle is projected at an angle theta =30^@ with the horizontal, with a velocity of 10ms^(-1) . Then

    A
    After 2 s, the velocity of particle makes an angle of `60^@` with initial velocity vector.
    B
    After 1 s, the velocity of particles makes an angle of `60^@` with initial velocity vector.
    C
    The magnitude of velocity of particle after 1 s is `10 ms^(-1)`.
    D
    The magnitude of velocity of particle after 1 s is `5 ms^(-1)`.

  • A motorcyclist of mass m is to negotiate a curve of radius r with a speed v . The minimum value of the coefficient of friction so that this negotiation may take place safely, is

    A
    `v^(2)rg`
    B
    `(v^(2))/(gr)`
    C
    `(gr)/(v^(2))`
    D
    `(g)/(v^(2)r)`

  • The slope of the smooth banked horizontal road is rho .If the radius of the curve road is 'r' then the maximum velocity with which a car can negotiate the curve will be

    A
    `rho rg`
    B
    `sqrt (rho r g) `
    C
    `rho//rg`
    D
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