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NEET2026PhysicsChapterActual

A car can safely negotiate a flat circular turn at a maximum speed of 90 km/h on a dry road. Due to an oil spill, the coefficient of static friction between the tires and the road drops to one-ninth of its original value. Assuming the radius of the turn remains constant, what is the new maximum safe speed for the car?

Options

  1. A10 km/h
  2. B30 km/h
  3. C30 3 km/h
  4. D270 km/h

Correct answer

B. 30 km/h

Step-by-step solution

The maximum safe speed of a car on a flat circular track is given by v = _s r g , where _s is the coefficient of static friction, r is the radius of the turn, and g is the acceleration due to gravity. From the formula, the maximum safe speed is directly proportional to the square root of the coefficient of static friction: v _s Let the initial maximum speed be v₁ = 90 km/h and the initial coefficient of friction be ₁ . The new coefficient of friction is ₂ = 1 9 ₁ . The new maximum safe speed v₂ is: v₂ v₁ = ₂ ₁ v₂ 9

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