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JEE Main 202329 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Morning Shift
Subject
Physics
Chapter
Laws of Motion

JEE Main 2023 · 29 January · Morning Shift · Physics · Laws of Motion

A car is moving on a horizontal curved road with radius 50m . The...

A car is moving on a horizontal curved road with radius 50m50m. The approximate maximum speed of car will be, if friction between tyres and road is 0.340 . 34. [Take g=10ms−2g = 10m{s}^{- 2}]

Options

  1. A3.4ms−13 . 4m{s}^{- 1}
  2. B22.4ms−122 . 4m{s}^{- 1}
  3. C13ms−113m{s}^{- 1}
  4. D17ms−117m{s}^{- 1}

Correct answer

C. 13ms−113m{s}^{- 1}

Step-by-step 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,

\mumg=mv2r\mumg = \dfrac{m{v}^{2}}{r}

⇒v=\murg⇒ v = \sqrt{\murg}

=0.34×50×10= \sqrt{0 . 34 \times 50 \times 10}

≈13ms−1\approx 13m{s}^{- 1}

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