Physics-
General
Easy

Question

The maximum speed with which a car is driven round a curve of radius 18 m without skidding (where, g equals 10 m s to the power of negative 2 end exponent and the coefficient of friction between rubber tyres and the roadway is 0.2) is

  1. 36.0 k m blank h to the power of negative 1 end exponent  
  2. 18.0 k m blank h to the power of negative 1 end exponent  
  3. 21.6blank k m blank h to the power of negative 1 end exponent  
  4. 14.4blank k m blank h to the power of negative 1 end exponent  

The correct answer is: 21.6blank k m blank h to the power of negative 1 end exponent


    Here, v subscript m a x end subscript equals ? comma r equals 18 blank m comma g equals 10 blank m s to the power of negative 2 end exponent
    mu equals 0.2
    fraction numerator m v subscript m a x end subscript superscript 2 end superscript over denominator r end fraction equals F equals mu R equals mu m g
    v subscript m a x end subscript equals square root of mu r g end root equals square root of 0.2 cross times 18 cross times 10 end root equals 6 blank m s to the power of negative 1 end exponent
    equals 6 cross times fraction numerator 18 over denominator 5 end fraction k m blank h to the power of negative 1 end exponent equals 21.6 blank k m blank h to the power of negative 1 end exponent

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