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JEE Main20246 Apr 2024Evening ShiftPhysicsLaws of MotionActual

A car of 800 ~kg is taking turn on a banked road of radius 300 ~m and angle of banking 30^ . If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely: ( g =10 ~m / s ^2, 3 =1.73 )

Options

  1. A264 ~m / s
  2. B51.4 ~m / s
  3. C70.4 ~m / s
  4. D102.8 ~m / s

Correct answer

B. 51.4 ~m / s

Step-by-step solution

aligned & m =800 ~kg & r =300 ~m & =30^ & _ s =0.2 & ~V _ = Rg [ + 1- ] & = 300 g [ 30^ +0.2 1-0.2 30^ ] & = 300 10 [ 0.57+0.2 1-0.2 0.57 ] & V _ =51.4 ~m / s aligned

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