Q64 / 90 · JEE Main 2023 (29 Jan Shift 1) · Physics

A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34. [Take g=10 m s-2]

  • A
    3.4 m s-1
  • B
    22.4 m s-1
  • Correct answer
    C
    13 m s-1
  • D
    17 m s-1

Solution

For a car moving with uniform speed along a circular track, the centripetal acceleration is provided by the frictional force acting radially inwards. Therefore, applying Newton's second law along radial direction,

μmg=mv2r

⇒v=μrg

   =0.34×50×10

    ≈13 m s-1

Hence, the correct answer is option: 'C'.

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